Nikolai P. Osmolovskii, Helmut Maurer

Applications to Regular and Bang-Bang Control

Second-Order Necessary and Sufficient Optimality Conditions in Calculus of Variations and Optimal Control

• Broschiertes Buch

Produktbeschreibung

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 has several distinctive features: 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 areas of application are fully solved. This book will be of interest to academic researchers in calculus of variations and optimal control. It will also be a useful resource to researchers and engineers who use applications of optimal control in areas such as mechanics, mechatronics, physics, economics, or chemical, electrical and biological engineering.

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 390
• Erscheinungstermin: 27. Februar 2014
• Englisch
• Abmessung: 247mm x 174mm x 20mm
• Gewicht: 688g
• ISBN-13: 9781611972351
• ISBN-10: 1611972353
• Artikelnr.: 37295162

Autorenporträt

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.

Inhaltsangabe

List of figures; Notation; Preface; Introduction; Part I. Second-Order Optimality Conditions for Broken Extremals in the Calculus of Variations: 1. Abstract scheme for obtaining higher-order conditions in smooth extremal problems with constraints; 2. Quadratic conditions in the calculus of variations; 3. Quadratic conditions for optimal control problems with mixed control-state constraints problems; 4. Jacobi-type conditions and Riccati equation; Part II. Second-Order Optimality Conditions in Optimal Bang-Bang Control Problems: 5. Second-order optimality conditions in optimal control; 6. Second-order optimality conditions for bang-bang control; 7. Bang-bang control and induced optimization problem; 8. Numerical methods for solving the induced optimization problem; Bibliography; Index.