Optimal Control of Differential Equations

NICOLAE H. PAVEL is Professor of Mathematics at Ohio University, Athens. The author or coauthor of five books and over 60 professional papers and the coeditor of two books, he is a member of the American Mathematical Society and the Romanian Mathematical Society. Dr. Pavel, a recipient of the Simion Stoilov Award from the Romanian Academy of Sciences, received the Ph.D. degree (1972) from the University of Ia????i, Romania.

". . .warmly recommended to nonlinear analysts, physicists, engineers and to everyone who is interested in differential equations and their applications. "---Acta Mathematica Scientia

• To Constantin Corduneanu on the Occasion of His Sixty-Fifth Birthday -- Preface -- Contributors -- 1. Optimal Relaxed Controls for Nonlinear Infinite Dimensional Stochastic Differential Inclusions /N. U. Ahmed -- 2. Optimal Control Problems Governed by Volterra Integral Inclusions /Sergiu Aizicovici and Nikolaos S. Papageorgiou -- 3. Identifying the Nonlinearity in a Parabolic Boundary Value Problem /Viorel Barbu and Karl Kunisch -- 4. Optimal Control and Calculus of Variations in Loo /E. N. Barron -- 5. Optimal Control of Some Partial Differential Equations with Two Point Boundary Conditions /Zhixiong Cai, Nicolae H. Pavel, and Shih-liang Wen -- 6. Continuity of a Parametrized Linear Quadratic Optimal Control Problem /Constantin Corduneanu and S. Q. Zhu -- 7. Some Remarks on Ergodic and Periodic Control /Giuseppe Da Prato -- 8. Optimal Boundary Control of Nonlinear Parabolic Equations /H. 0. Fattorini and T. Murphy -- 9. Numerical Approximations of Solutions to Riccati Equations Arising in Boundary Control Problems for the Wave Equation /Erik Hendrikson and Irena Lasiecka -- 10. Wellposedness and Uniform Decay Rates of Weak Solutions to a von Karman System with Nonlinear Dissipative Boundary Conditions /Mary Ann Hom, Irena Lasiecka and Daniel Tataru -- 11. Optimal Control Hyperbolic Systems with Bounded Variation of Controls /Dariusz ldczak and Stanislaw Walczak -- 12. Further Regularity Properties in Quadratic Cost Problems for Parabolic Equations with Boundary Control and Non-Smoothing Final State Penalization /Irena Lasieka and Roberto Triggiani -- 13. Necessary and Sufficient Conditions for Optimality for Nonlinear Control Problems in Banach Spaces /Urszula Ledzewicz and Andrzej Nowakowski -- 14. Pareto Optimality Conditions for Abnormal Optimization and Optimal Control Problems /Urszula Ledzewicz and Heinz Schaettler -- 15. A Theory of First and Second Order Conditions for Nonregular Extremum Problems /Urszula Ledzewicz and Heinz Schaettler -- 16. Existence, Approximation, and Suboptimality Conditions for Minimax Control of Heat Transfer Systems with State Constraints /Boris S. Mordukhovich and Kaixia Zhang -- 17. Optimal Control Problems for Some First and Second Order Differential Equations /Nicolae H. Pavel, G. S. Wang, and Yong Kang Huang -- 18. A Variational Approach to Shape Optimization for the Navier-Stokes Equations /Srdjan Stojanovic and Thomas P. Svobodny -- 19. A Strong Version of the Lojasiewicz Maximum Principle /H. J. Sussmann -- 20. On the Relationship Between the Optimal Quadratic Cost Problems on an Infinite Horizon, and on a Finite Horizon with Final Time Penalization: The Abstract Hyperbolic Case /Roberto Triggiani -- 21. A Sharp Result on the Exponential Operator-Norm Decay of a Family Th(t) of Strongly Continuous Semigroups Uniformly in h /Roberto Triggiani.