Optimal Control of Nonsmooth Distributed Parameter Systems
Tiba, Dan.
Optimal Control of Nonsmooth Distributed Parameter Systems [electronic resource] / by Dan Tiba. - VIII, 160 p. online resource. - Lecture Notes in Mathematics, 1459 0075-8434 ; . - Lecture Notes in Mathematics, 1459 .
Elements of nonlinear analysis -- Semilinear equations -- Variational inequalities -- Free boundary problems.
The book is devoted to the study of distributed control problems governed by various nonsmooth state systems. The main questions investigated include: existence of optimal pairs, first order optimality conditions, state-constrained systems, approximation and discretization, bang-bang and regularity properties for optimal control. In order to give the reader a better overview of the domain, several sections deal with topics that do not enter directly into the announced subject: boundary control, delay differential equations. In a subject still actively developing, the methods can be more important than the results and these include: adapted penalization techniques, the singular control systems approach, the variational inequality method, the Ekeland variational principle. Some prerequisites relating to convex analysis, nonlinear operators and partial differential equations are collected in the first chapter or are supplied appropriately in the text. The monograph is intended for graduate students and for researchers interested in this area of mathematics.
9783540467557
10.1007/BFb0085564 doi
Systems theory.
Mathematical optimization.
Global analysis (Mathematics).
Systems Theory, Control.
Calculus of Variations and Optimal Control; Optimization.
Analysis.
Q295 QA402.3-402.37
519
Optimal Control of Nonsmooth Distributed Parameter Systems [electronic resource] / by Dan Tiba. - VIII, 160 p. online resource. - Lecture Notes in Mathematics, 1459 0075-8434 ; . - Lecture Notes in Mathematics, 1459 .
Elements of nonlinear analysis -- Semilinear equations -- Variational inequalities -- Free boundary problems.
The book is devoted to the study of distributed control problems governed by various nonsmooth state systems. The main questions investigated include: existence of optimal pairs, first order optimality conditions, state-constrained systems, approximation and discretization, bang-bang and regularity properties for optimal control. In order to give the reader a better overview of the domain, several sections deal with topics that do not enter directly into the announced subject: boundary control, delay differential equations. In a subject still actively developing, the methods can be more important than the results and these include: adapted penalization techniques, the singular control systems approach, the variational inequality method, the Ekeland variational principle. Some prerequisites relating to convex analysis, nonlinear operators and partial differential equations are collected in the first chapter or are supplied appropriately in the text. The monograph is intended for graduate students and for researchers interested in this area of mathematics.
9783540467557
10.1007/BFb0085564 doi
Systems theory.
Mathematical optimization.
Global analysis (Mathematics).
Systems Theory, Control.
Calculus of Variations and Optimal Control; Optimization.
Analysis.
Q295 QA402.3-402.37
519