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Applications to Regular and Bang-Bang Control

TaschenbuchKartoniert, Paperback
390 Seiten
Englisch
Cambridge University Presserschienen am27.02.2014
This book is devoted to the theory and applications of second-order necessary and sufficient optimality conditions in the calculus of variations and optimal control. The authors develop theory for a control problem with ordinary differential equations subject to boundary conditions of equality and inequality type and for mixed state-control constraints of equality type. The book is distinctive in that necessary and sufficient conditions are given in the form of no-gap conditions; the theory covers broken extremals where the control has finitely many points of discontinuity; and a number of numerical examples in various application areas are fully solved.mehr

Produkt

KlappentextThis book is devoted to the theory and applications of second-order necessary and sufficient optimality conditions in the calculus of variations and optimal control. The authors develop theory for a control problem with ordinary differential equations subject to boundary conditions of equality and inequality type and for mixed state-control constraints of equality type. The book is distinctive in that necessary and sufficient conditions are given in the form of no-gap conditions; the theory covers broken extremals where the control has finitely many points of discontinuity; and a number of numerical examples in various application areas are fully solved.
ZusammenfassungA book devoted to second-order optimality conditions in the calculus of variations and optimal control, suitable for researchers and engineers.
Details
ISBN/GTIN978-1-61197-235-1
ProduktartTaschenbuch
EinbandartKartoniert, Paperback
Erscheinungsjahr2014
Erscheinungsdatum27.02.2014
Seiten390 Seiten
SpracheEnglisch
Gewicht688 g
Artikel-Nr.20321576

Inhalt/Kritik

Inhaltsverzeichnis
* List of Figures* Notation* Preface* Introduction* Part I: Second-Order Optimality Conditions for Broken Extremals in the Calculus of Variations* Chapter 1: Abstract Scheme for Obtaining Higher-Order Conditions in Smooth Extremal Problems with Constraints* Chapter 2: Quadratic Conditions in the General Problem of the Calculus of Variations* Chapter 3: Quadratic Conditions for Optimal Control Problems with Mixed Control-State Constraints* Chapter 4: Jacobi-Type Conditions and Riccati Equation for Broken Extremals* Part II: Second-Order Optimality Conditions in Optimal Bang-Bang Control Problems* Chapter 5: Second-Order Optimality Conditions in Optimal Control Problems Linear in a Part of Controls* Chapter 6: Second-Order Optimality Conditions for Bang-Bang Control* Chapter 7: Bang-Bang Control Problem and Its Induced Optimization Problem* Chapter 8: Numerical Methods for Solving the Induced Optimization Problem and Applications* Bibliography* Index.mehr

Autor

Nikolai Osmolovskii holds several professorships, which include positions at the University of Siedlce, the Polish Academy of Science and the Technical University of Radom. He has authored 50 research papers and four monographs.
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Osmolovskii, Nikolai P.