1.
with H. Schättler, An optimal control approach to cancer
chemotherapy with tumor-immune system interactions, in Mathematical Models of Tumor-Immune System Dynamics, Springer
(editors A. Eladaddi, P.Kim),
2014 (to appear).
2.
with H. Schättler
and H. Maurer, Sufficient conditions for strong local optimality in optimal
control problems with L2-type objectives and control constraints, Discrete and Continuous Dynamical Systems,
Series B, 19 (8), October 2014
(to appear).
3.
with H. Schättler, Optimal control for mathematical models
of cancer treatment, in: Mathematical
Oncology, Birkhäuser, October 2014 (to appear).
4.
with K. Bratton and H.
Schättler, A 3-compartment model for chemotherapy of heterogeneous tumor
populations, Acta Applicandae Mathematicae, 2014, DOI: 10.1007/s10440-014-9952-6.
5.
with H. Schättler, A review of optimal chemotherapy
protocols: from MTD towards metronomic chemotherapy, Math. Model. Nat. Phenom. 9 (4),
2014, DOI: 10.1054/mmnp/20149409.
6.
with H. Schättler, On optimal chemotherapy for
heterogeneous tumors, J. of Biological
Systems, 22(2), 2014, DOI:
1142/S0218339014400014.
7.
H. Schättler, U.
Ledzewicz, Y. Kim, A. de los Reyes and E. Jung, On the control of cell migration
and proliferation in glioblastoma, Proceedings of the 52nd IEEE Conference on
Decision and Control, December 2013, Florence, Italy, pp. 1810-1815.
8. with H. Schaettler, M. Reisi, and S. Mahmoudian, S. On the
MTD paradigm and optimal control for combination cancer chemotherapy, Mathematical Biosciences and Engineering,
10(3), 2013, pp. 803-821.
9. with O. Olumoye and H. Schaettler, On
optimal chemotherapy with a strongly targeted agent for a model of tumor-immune
system interactions with generalized logistic growth, Mathematical Biosciences and Engineering, 10(3), 2013, pp. 787-803.
10.
with H.
Schaettler, M. Faraji, Optimal Protocols for
a Mathematical Model of Tumor-Immune Interactions under Chemotherapy with
Immune Boost, Discrete and Continuous Dynamical Systems, Series B, (2012), 18 (4), 2013, pp. 1031-1051,
doi:10.3934/dcdsb.2013.18.1031.
11.
With A. d’Onofrio, H. Schaettler, Tumor Development under
Combination Treatments with Anti-Angiogenic Therapies,
Mathematical Methods and Models in Biomedicine,
Springer-Verlag, (editors: U. Ledzewicz, H. Schaettler,
A. Friedman, E. Kashdan), September 2012, pp. 311-337.
12.
with A. d’Onofrio, H. Schaettler,
On the Dynamics
of Tumor Immune Interactions and Combined Chemo- and Immunotherapy, New
Challenges for Cancer Systems Biology, Springer Verlag,
(editors: A. d’Onofrio, P. Cerrai
and A. Gandolfi), 2012, pp. 249-266.
13.
with H.
Schaettler, S. Mahmoudian, M. Reisi, A Geometric Analysis
of Bang-Bang Extremals in Optimal Control Problems
for Combination Cancer Chemotherapy, Proceedings of 51st IEEE Conference on Decision and Control, Maui,
December 2012, pp. 7691-7696.
14.
with H.
Schaettler, M. Faraji, On Optimal
Protocols for Combinations of Chemo- and Immunotherapy, Proceedings of 51st IEEE Conference on Decision
and Control, Maui, December 2012, pp. 7492-7497.
15.
with H. Schaettler, Perturbation feedback
control: A geometric interpretation, Numerical
Algebra, Control and Optimization, 2
(3), (2012), pp.631-654.
16.
with H. Schaettler, S. Mahmoudian, M. Reisi, Optimal
Control of Multi-Input Systems for Cancer Chemotherapy, in Latest Advances in Systems Science and Computational Intelligence,
pp. 31-36, (2012), ISBN:978-1-61804-094-7.
17.
with H.
Schaettler, Lyapunov-Schmidt reduction for optimal control problems,
Discrete and Continuous Dynamical
Systems, Series B, Vol. 17, (2012), pp.2201-2225.
18.
with H.
Schaettler, Synthesis
of Optimal Controlled Trajectories with Chattering Arcs, Dynamics
of Discrete, Continuous and Impulsive Systems, Series B, Applications and
Algorithms, 19, (2012), pp.161-186.
19.
with H. Schaettler, Multi-Input Optimal
Control Problems for Combined Tumor Anti-Angiogenic
and Radiotherapy Treatments, Journal
of Optimization Theory and Applications, (2012), Vol.153, pp.195-224,
doi:10.1007/s10957-011-9954.
20.
with M. Naghneian, H. Schaettler, Optimal Response to
Chemotherapy for a Mathematical Model of Tumor-Immune Dynamics, Journal of Mathematical Biology, (2011),
pp. 557- 577, doi:10.1007/s00285-011-0424-6.
21.
with H.
Schaettler, On
optimal singular controls for a general SIR-model with vaccination and
treatment supplement, to Discrete and
Continuous Dynamical Systems, Series B, 2011, AIMS Proceedings, 2011, pp.981-990.
22.
H. Schaettler, U.
Ledzewicz, B. Cardwell, “Robustness of
optimal controls for a class of mathematical models for tumor anti-angiogenesis,”
Mathematical Biosciences and Engineering,
8 (2), (2011), pp.335-371, doi:10.3934, mbe.2011.8.35.
23.
with H. Maurer, H. Schaettler, “Optimal and
Suboptimal Protocols for a mathematical model for tumor anti-angiogenesis in
combination with chemotherapy,” Mathematical
Biosciences and Engineering, 8 (2), April 2011, pp. 307-323,
doi:10.3934/mbe.2011.8.307.
24.
with M. Naghneian,
H. Schaettler, Dynamics of
Tumor-Immune Interactions under Treatment as an Optimal Control Problem, ,
supplement to Discrete and Continuous
Dynamical Systems, Series B, (2011), AIMS Proceedings, pp.971-980.
25.
with H.
Schaettler, On the mathematical model of a combined anti-angiogenic
and radiotherapy treatment, Proceedings
of the 16th Conference on Applications of Mathematics to Biology and
Medicine, (2010), pp. 76-81.
26.
With H.
Schaettler and M. Naghneian, Bifurcation of
singular arcs in an optimal control problem for cancer immune system
interactions under treatment, Proceedings
of the 49th IEEE Conference on Decision and Control, (2010),pp.
7039-7044,
27.
with M. Naghnaeian and H. Schaettler, An optimal control
approach to cancer treatment under immunological activity, Applicationes Mathematicae 38 (1), (2011), pp.17-31.
28.
with H. Maurer and H. Schaettler, Minimizing tumor volume for a
mathematical model of anti-angiogenesis with linear pharmacokinetics, Recent Advances in Optimization and its
Applications in Engineering, M. Diehl, F. Glineur, E. Jarlebring,
W. Michiels, Eds., Springer-Verlag (2010),
pp.267-276.
29.
with H.
Schaettler, J. Marriot and H. Maurer, Realizable protocols for optimal administration of drugs in
mathematical models for anti-angiogenic treatment,
Mathematical Medicine and Biology, 27
(2010), pp. 159-179.
30.
with
H. Schaettler, Singular
controls and chattering arcs in optimal control problems arising in biomedicine, Control and Cybernetics, 38, (2009),
pp. 1501-1523
31.
with
H. Schaettler, Optimal
controlled trajectories for a mathematical model of anti-angiogenic
therapy in cancer, Proceedings of the
48th IEEE Conference on Decision and Control, December 2009,
Shanghai, China, (2009), pp. 1201-1206
32.
with
H. Maurer and H. Schaettler, Bang-bang and singular
controls in a mathematical model for combined anti-angiogenic
and chemotherapy treatment, Proceedings
of the 48th IEEE Conference on Decision and Control, December
2009, Shanghai, China, (2009), pp. 2280-2285
33.
with
A. d’Onofrio, H. Maurer and H. Schaettler, On optimal
delivery of combination therapy for tumors, Mathematical
Biosciences, 222, (2009), pp.
13-26, doi:10.1016/j.mbs.2009.08.004
34.
with
H. Schaettler, On an Extension of a mathematical model for tumor
anti-angiogenesis, Nonlinear Analysis, 71, (2009), pp. e2390-e2397
35.
with H. Schaettler and V. Oussa, Optimal solutions
of a model of tumor anti-angiogenesis with a penalty on the cost of treatment,
Applicationes Mathematicae,
36 (3), (2009), pp. 295-312
36.
with H. Schaettler, On optimal control for a model of cancer
treatment with immunological activity, Proceedings
of the Conference on Applications of Mathematics in Biology and Medicine, Szczyrk, Poland, September 2009, pp. 76-81
37.
with H. Schaettler and V. Oussa, Model for cancer therapy with
penalty on the cost of treatment, International
Journal of Pure and Applied Mathematics, 54 (1), (2009),
pp. 1-6
38.
with
H. Schaettler and A. Berman, On the structure of
optimal protocols for a mathematical model of tumor anti-angiogenic
therapy with linear pharmacokinetics, Proceedings
of 3rd IEEE Multi Conference on Systems and Control, St.
Petersburg, Russia, July 2009, pp. 71-76
39.
with
H. Schaettler and J. Marriot, Piecewise constant
suboptimal controls for a system describing tumor growth under angiogenic treatment,
Proceedings of 3rd IEEE
Multi Conference on Systems and Control, St. Petersburg, Russia, July 2009,
pp. 77-82
40.
with H. Schaettler and Y. Liu, The Effect of
Pharmacokinetics on Optimal Protocols for a Mathematical Model of Tumor Anti-Angiogenic Therapy, 2009
American Control Conference, St. Louis, Mo, USA, June 2009, pp. 1060-1065
41.
with H. Schaettler and J. Munden, Scheduling of anti-angiogenic inhibitors for Gompertzian
and logistic tumor growth models, Discrete
and Continuous Dynamical Systems, Series B, Special Issue “Application of
Dynamical Systems to Biology and Medicine,” 12 (2), (2009), pp. 415-439
42.
with H. Schaettler, On the optimality
of singular controls for a class of mathematical models for tumor
anti-angiogenesis, Discrete and
Continuous Dynamical Systems, Series B, 11 (3), (2009), pp. 691-715
43.
with H. Schaettler and J. Munden, Bang-bang controls for
anti-angiogenesis under logistic growth of the tumor, International Journal of Pure and Applied Mathematics, 49 (4), (2008), pp. 511-516
44.
with H. Schaettler and A. d’Onofrio, Optimal control
for combination therapy in cancer, Proceedings of the 47rd IEEE Conference on
Decision and Control, Cancun, Mexico, December 9-11, 2008, pp. 1537-1542
45.
with H. Schaettler, J. Marriot and H. Maurer, Realizable protocols
for optimal administration of drugs in mathematical models for novel cancer
treatments, Journal of Medical
Informatics and Technologies, 12, October 2008, pp. 23-29
46.
with H. Schaettler, Analysis and challenges in
optimal control of mathematical models for cancer treatments, in: Advances in Mathematical Problems in
Engineering Aerospace and Science, (Ed.: S. Sivasundaram),
Chapter 19, pp. 211-222, Out-of-House
Publishing, United Kingdom, 2008
47.
with H. Schaettler, Minimization
of the tumor volume and endothelial support for a system describing tumor
anti-angiogenesis, WSEAS Transactions
on Biology and Biomedicine, 5
(2), (2008), pp. 23-33
48.
with H. Schaettler, Effect of the objective on the optimal control
for a system describing tumor anti-angiogenesis, Proceedings of the 12th WSEAS International Conference on
Systems, part II, (2008), pp. 483-490
49.
with H. Schaettler, Optimal and suboptimal
protocols for a class of mathematical models for tumor anti-angiogenesis, J. of Theoretical Biology, 252, (2008), pp. 295-312
50.
with H. Schaettler, Analysis of a
mathematical model for tumor anti-angiogenesis, Optimal Control,
Applications and Methods, 29
(1), (2008), pp. 41-57
51.
with H. Schaettler, Anti-angiogenic therapy in cancer treatment as an optimal
control problem, SIAM J. on Control and Optimization, 46 (3), (2007), pp. 1052-1079
52.
with H. Schaettler, On a class of
systems describing tumor anti-angiogenesis under Gompertzian
growth, WSEAS Transactions on Systems, 4 (6), (2007), pp.758-766
53.
with H. Schaettler, Singular controls in systems describing
tumor anti-angiogenesis, Proc. of the 5th WSEAS Conference on
Systems Science and Simulation in Engineering, Tenerife, Spain, December
2006, pp. 156-161
54.
with H. Schaettler, Optimal control for
a system modelling tumor anti-angiogenesis, ICGST - Int. J. on Automatic
Control and Systems Engineering (ACSE), 6, (2006), pp. 33-39
55.
with H. Schaettler, Application of
optimal control to a system describing tumor anti-angiogenesis, Proceedings
of the 17th International Symposium on Mathematical Theory of Networks and
Systems (MTNS), Kyoto, Japan, July 2006, pp. 478-484
56.
with H. Schaettler, Analysis of models for
evolving drug resistance in cancer chemotherapy, DCDIS (Dynamics of
Continuous, Discrete and Impulsive Systems), Proceedings 2, (2006),
pp. 291-304
57.
with M. de Pinho, M.M. Ferreira and H. Schaettler, A model for
cancer chemotherapy with state space constraints, Nonlinear Analysis,
63 (5), (2005), pp. 2591-2602
58.
with H. Schaettler, Optimal control for a system modelling tumor
anti-angiogenesis, Proc. of the ICGST Int. Conf. on Automatic Control and
Systems Engineering (ACSE), 2005, Cairo, Egypy,
pp. 147-152
59.
with H. Schaettler, Model of
maximizing bone marrow with pharmacokinetics, Mathematical Biosciences,
206 (2), (2007), pp. 320-342
60.
with H. Schaettler, Drug resistance in
cancer chemotherapy as an optimal control problem, Discrete and
Continuous Dynamical Systems, series B, 6 (1), (2006), pp. 129-150
61.
with H. Schaettler, A synthesis of
optimal controls for a model of tumor growth under angiogenic
inhibitors, Proceedings of the 44rd IEEE Conference on Decision and
Control, Seville, Spain, December 12-15, 2005
62.
with H. Schaettler, The influence
of PK/PD on the structure of optimal control in cancer chemotherapy models,
Mathematical Biosciences and Engineering, 2, (3), August 2005
63.
with H. Schaettler, A.Swierniak and J.
Smieja, Drug resistance and phase specificity of cancer chemotherapy: finite
versus infinite dimensional models, Proc.
of the 5th IASTED Conference on Modeling, Simulation and
Optimization, Oranjestad, Aruba, 2005, no.
471-065
64.
with H. Schaettler, A local field of extremals
for single-input systems with state space constraints, Proc. of the 43rd
IEEE Conf. on Decision and Control, The Bahamas, December 2004, pp. 923-928
65.
with H. Schaettler, The structure of
optimal controls for a cancer chemotherapy model with PK/PD equations, Proc.
of the 43rd IEEE Conf. on Decision and Control, The Bahamas,
December 2004, pp.1376-1381
66.
with H. Schaettler and A.Swierniak, Finite dimensional
models of drug resistant and phase specific cancer chemotherapy, Journal
of Medical Information Technology, 8, (2004), pp. 5-13
67.
with H. Schaettler, Application of
control theory in modeling cancer chemotherapy, ICCAS 2004, Proceedings
of the Int. Conf. on Control, Automation and Systems, Bangkok, Thailand,
August 2004, pp. 330-335
68.
with H. Schaettler and A.Swierniak,
Singular controls are not optimal for compartmental models of cancer
chemotherapy, Proceedings of X Conference on Application of Mathematics in
Biology and Medicine, Jodlowy Dwor,
Poland, September 2004, pp. 213-218
69.
with H. Schaettler, Controlling a model
for bone marrow dynamics in cancer chemotherapy, Mathematical
Biosciences and Engineering, 1
(1), (2004), pp.95-110,
70.
with T. Brown and H. Schättler, A comparison of optimal
controls for a model in cancer chemotherapy with L1- and L2-type
objectives, Optimization Methods and Software, 19 (3-4), (Special Issue devoted to
Proceedings of the First International Conference on Optimization Methods and
Software, Hangzhou, China, December 2002), pp. 351-359, 2004
71.
with H. Schaettler and A. Nowakowski, Stratifiable families of extremals
and sufficient conditions for optimality in optimal control problems, Journal
of Optimization Theory and Applications (JOTA), 122, (2), (2004),
72.
with H. Schaettler and S. Walczak, Optimal control system governed
by second-order ODEs with Dirichlet boundary data and
variable parameters, Illinois Journal of Mathematics, 47 (4), (2004), pp. 1189-1206,
73.
with H. Schaettler, Optimal control for a
bilinear model with recruiting agent in cancer chemotherapy, Proceedings of
the 42nd IEEE Conference on Decision and Control (CDC), Maui,
Hawaii, December 2003, pp.2762-2767
74.
with H. Schaettler and A. Swierniak, Optimal control for a
class of compartmental models in cancer chemotherapy, International
Journal of Applied Mathematics and Computer Science, 13 (3), pp. 357-368, 2003
75.
with H. Schaettler, Optimal control for a 3-compartment model for
cancer chemotherapy with quadratic objective, in: Dynamical Systems and
Differential Equations, (W. Feng, S, Hu and X. Lu, Eds., A supplement
volume to Discrete and Continuous Dynamical Systems), Proceedings of the
4th International Conference on Dynamical Systems and Differential
Equations, Wilmington, NC, 2002, p. 544-553
76.
with H. Schaettler, Sufficient conditions for optimality of
controls in biomedical systems, Proceedings of the 41st IEEE
Conference on Decision and Control (CDC), Las Vegas, Nevada, 2002, pp.
3524-29
77.
with H. Schättler, Optimal controls for a two-compartment model
for cancer chemotherapy with quadratic objective, Proceedings of the 5th
Portuguese Conference on Automatic Control (Controlo
2002), Aveiro, Portugal, 2002, pp. 241-247
78.
with H. Schättler, Analysis of a cell-cycle
specific model for cancer chemotherapy, Journal of Biological Systems,
10 (3), 2002, pp. 183-206
79.
with H. Schättler, On optimal controls for a general mathematical
model for chemotherapy of HIV, Proceedings of the 2002 American Control
Conference, Anchorage, Alaska, 2002, pp. 3454-3459
80.
with H. Schättler, Analysis of a class of optimal control problems
arising in cancer chemotherapy, Proceedings of the 2002 American Control
Conference, Anchorage, Alaska, 2002, pp. 3460-3465
81.
with H. Schättler, Optimal bang-bang controls
for a 2-compartment model in cancer chemotherapy, Journal of
Optimization Theory and Applications, Vol. 114, No.3, 2002, pp. 609-637
82.
with S. Walczak and H. Schättler, Stability of elliptic optimal
control problems, Computers and Mathematics with Applications, 41, 2001,
pp. 1245-1256
83.
with H. Schättler, A high-order maximum principle for abnormal extremals, in: Encyclopedia of Optimization, Kluwer
Academic Publishing Co., 2001, pp. 423-430
84.
with H. Schättler, High-order necessary conditions for abnormal
points, in: Encyclopedia of Optimization, Kluwer Academic Publishing
Co., 2001, pp. 431-438
85.
with H. Schättler, On optimal controls for a 3-compartment
model of cancer chemotherapy,” at Proceedings of IASTED International
Conference on Control and Applications, Banff, Canada, 2001, pp. 109-114
86.
with H. Schättler, On generalizations of the Euler-Lagrange
equation, Nonlinear Analysis, Vol. 47, 2001, pp. 339-350 (Proceedings of
Third World Congress of Nonlinear Analysts)
87.
with H. Schättler and A. Nowakowski, A local generalized Hilbert
invariant integral, Nonlinear Analysis, Vol. 47, 2001, pp. 399-310,
(Proceedings of Third World Congress of Nonlinear Analysts)
88.
with H. Schättler, A high-order generalized local Maximum
principle, SIAM Journal on Control and Optimization, Vol. 38, No.3,
2000, pp. 823-855
89.
with H. Schättler, Optimal control for a mathematical model of
cancer chemotherapy, in: Control and Applications, Proceedings of the IASTED
International Conference, Cancun, Mexico, 2000, pp. 8-14
90.
with H. Schättler, On the synthesis of controls for a mathematical
model of cancer chemotherapy, Proceedings of the 39th IEEE
Conference on Decision and Control, Sydney, Australia, 2000, pp. 4845-4850
91.
with H. Schättler, A high-order maximum principle for abnormal extremals - examples, Proceedings of the 39th
IEEE Conference on Decision and Control, Sydney, Australia, 2000, pp.136-141
92.
with H. Schättler and S. Walczak, A high-order open mapping
theorem in Banach spaces, Nonlinear Studies,
Vol. 6, No. 1, 1999, pp. 1-10
93.
with H. Schättler and A. Nowakowski, Generalized fields of extremals, in: Mathematical Theory of Networks and Systems,
Proceedings of the MTNS-98 Symposium, Padova, Italy,
1999, pp. 277-281
94.
with H. Schättler, High-order approximations in Optimal Control
Theory: a comparison of normal, abnormal and singular cases, Proceedings of the
MTNS-98 Symposium, Padova, Italy, 1999, pp. 282-285
95.
with H. Schättler, High-order approximations for abnormal
bang-bang extremals, in: System Modelling and
Optimization, P. Kall, I. Lasiecka and M. Polis,
Eds., (Proceedings of the 18th IFIP Conference on Mathematical Modelling and
Optimization), Addison-Wesley-Longman Publ. Co., 1999, pp. 126-135
96.
with H. Schättler, A high-order generalization of the Lyusternik theorem and its application to optimal control
problems, in: Dynamical Systems and Differential Equations, Vol. II, W. Chen
and S. Hu, Eds., 1998, pp. 45-59, (Proceedings of the International Conference
on Dynamical Systems and Differential Equations, Springfield, Missouri, June
1996)
97.
with A. Nowakowski, Dual optimal synthesis for optimal control
problems with abstract semilinear differential
equations, in: Dynamical Systems and Differential Equations, Vol. II, W. Chen
and S. Hu, 1998, Eds., pp. 32-44, (Proceedings of the International Conference
on Dynamical Systems and Differential Equations, Springfield, Missouri, June
1996)
98.
with H. Schättler, High-order extended Maximum Principles for
optimal control, in: Optimal Control: Theory, Algorithms and Applications,
(W.W. Hager and P.M. Pardalos, Eds.), Kluwer Academic
Publishers, 1998, pp. 298-325
99.
with H. Schättler, A high order generalization of the Lyusternik theorem, Nonlinear Analysis, Vol. 34, No.
6, 1998, pp. 793-815
100.
with H. Schättler, High-order approximations and generalized
necessary conditions for optimality, SIAM Journal on Control and
Optimization, Vol. 37, No. 1, 1998, pp. 33-56
101.
with H. Schättler, Analysis of abnormal extremals
in optimal control, in: Proceedings of Symposia in Pure Mathematics, H.
Sussmann and G. Ferreyra, Eds., Proceedings of
Symposia in Pure mathematics, Vol. 64, American Mathematical Society, 1998, pp.
223-239
102.
with H. Schättler, Perturbation feedback control and neighboring extremals in the abnormal case, Proceedings of the IASTED
International Conference on Control and Applications, Honolulu, Hawaii, August
1998, pp. 161-166
103.
with S. Walczak, Optimal control of systems governed by elliptic
equations, Discrete and Continuous Dynamical Systems, Vol. 5, No.2,
1998, pp. 279-290
104.
with H. Schättler, Second order Dubovitskii-Milyutin
theory and applications to control, Advances in Nonlinear Dynamics,
(Stability and Control: Theory, Methods and Applications, Vol. 5, S. Sivasundaram and A.A. Martynyuk,
Eds.), 1997, pp. 179-192
105.
with H. Schättler, An Extended Maximum Principle, Nonlinear
Analysis, Vol.29, No.2, 1997, pp. 159-183
106.
with H. Schättler, High-order tangent cones and their application
in optimization, Nonlinear Analysis, Vol. 30, No. 4, 1997, pp.
2449-2460, (Proceedings of the Second World Congress of Nonlinear Analysts, Athens,
Greece, July 1996)
107.
with A. Nowakowski, Optimality conditions for control problems
governed by abstract semilinear differential
equations in complex Banach spaces, Journal of
Applied Analysis, Vol. 3, No.1, 1997, pp. 67-91
108.
with S.Walczak, Generalizations of the Lusternik theorem and their applications to nonsmooth and abnormal problems in optimization and optimal
control, Proceedings of the First World Congress of Nonlinear Analysts,
Tampa (Florida), August, 1992, Vol. III, pp. 2583-2594, Walter de Gruyter, 1996
109.
with H. Schättler, A generalization of the Lyusternik
theorem and high order approximations in Optimization, Proceedings of the 2nd
Portuguese Conference on Automatic Control, Porto, Portugal, September 1996,
pp. 455-460
110.
with H. Schättler, Second Order Conditions for Extremum Problems with Nonregular
Equality Constraints, Journal of Optimization Theory and Applications,
Vol.86, No.1, July 1996, pp. 113-144.
111.
with H. Schättler, An Extended Global Maximum Principle,
Proceedings of 34th IEEE Conference on Decision and Control, New Orleans, pp.
3922-3928, December 1995
112.
with S.Walczak, On the Lusternik Theorem for Nonsmooth
Operators, Nonlinear Analysis, Theory, Methods and Applications, Vol.22,
No.2, pp. 121-128, 1994
113.
with H. Schättler, A theory of first and second order conditions
for nonregular extremum
problems, in: Optimal Control of Differential Equations and Variational Inequalities ( editor: N. Pavel,
Proceedings of the Conference on Optimal Control, Athens (Ohio), March 25-27,
1993), Lecture Notes in Pure and Applied Mathematics, Marcel
Dekker, Vol.160, pp. 237-250, 1994
114.
with H. Schättler, Pareto optimality conditions for abnormal
optimization and optimal control problems, in: Optimal Control of
Differential Equations and Variational Inequalities
(editor: N. Pavel, Proceedings of the Conference on Optimal Control, Athens
(Ohio), March 25-27, 1993), Lecture Notes in Pure and Applied
Mathematics, Marcel Dekker, Vol.160, pp. 217-235, 1994
115.
with A. Nowakowski, Necessary and sufficient conditions for optimlity for nonlinear control problems in Banach spaces, in: Optimal Control of
Differential Equations and Variational Inequalities
( editor: N. Pavel, Proceedings of the Conference on Optimal Control, Athens
(Ohio), March 25-27, 1993), Lecture Notes in Pure and Applied
Mathematics, Marcel Dekker, Vol.160, pp. 195-216, 1994
116.
with H. Schättler, Second order conditions for optimality in
abnormal optimal control problems, Proceedings of 33 IEEE Conference on
Decision and Control, Orlando, December 1994, pp.2594-2599
117.
On Abnormal Optimal Control Problems with Mixed Equality and
Inequality Constraints, Journal of Mathematical Analysis and Applications,
Vol. 173, No.1, pp. 18-42, 1993
118.
The Extremum Principle for Some Types of
Distributed Parameter Control Problems, Applicable Analysis, Vol. 48,
pp.1-21, 1993
119.
An Extension of the Local Maximum Principle to Abnormal Optimal
Control Problems, Journal of Optimization Theory and Applications,
Vol.77, No.3, pp. 661-681, 1993
120.
On Some Distributed Parameter Control Systems with Terminal Data
in the Abnormal Case and in the Case of Nonoperator
Equality Constraints, Journal of Applied Mathematics and Stochastic Analysis,
Vol.6, No.2, pp.137-151, 1993
121.
On an Abnormal Optimal Control Problem, in: Mathematical Theory of
Control (editors: M. Joshi, A. Balakrishnan,
Proceedings of the International Conference on Mathematical Control, IIT
Bombay, India, December 10-15, 1990), Lecture Notes in Pure and Applied
Mathematics, Vol. 142, Marcel Dekker, pp. 255-267, 1992
122.
Optimality Conditions for Abnormal Optimal Control Problems
of Systems with Terminal Data, in: Theory of Differential Equations and
Applications to Oceanography, ( editors: S.G. Deo,
Y.S. Prahalad, Proceedings of International
Conference on the Theory of Differential Equations and Applications to
Oceanography, Goa University, India, December 17-21, 1990), Affiliated
East-West Press Private Limited, New Delhi, pp. 187- 206, 1992
123.
Optimality conditions for abnormal optimal control problems with
additional equality constraints, in: Partial Differential Equations,
(editors: J. Wiener, J. Hale, Proceedings of International Conference on
the Theory and Applications of Differential Equations in Edinburg, Texas, May
1991), Pitman Research Notes in Mathematics, Vol. 273, Longman Scientific
and Technical, New York, pp.96-100, 1992
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Urszula Ledzewicz / uledzew@siue.edu / Updated: February 20, 2013