![Applications to Regular and Bang-Bang Control: Second-Order Necessary and Sufficient Optimality Conditions in Calculus of Variations and Optimal Control (Advances in Design and Control)](//coverdb.com/reviewSE/w100/3b4/9781611972351.jpg) |
|
Applications to Regular and Bang-Bang Control: Second-Order Necessary and Sufficient Optimality Conditions in Calculus of Variations and Optimal Control (Advances in Design and Control)
Nikolai P. Osmolovskii
Paperback. Society for Industrial and Applied Mathematics 2012-11-16.
ISBN 9781611972351
|
|
|
Hitta bokens lägsta pris
|
Förlagets beskrivning
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.
Audience: This book is suitable for researchers in calculus of variations and optimal control and researchers and engineers in optimal control applications in mechanics; mechatronics; physics; economics; and chemical, electrical, and biological engineering.
Contents: 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
Liknande böcker
Recensioner
Den här boken har tyvärr inte några recensioner ännu. Om du redan läst boken, skriv en recension!
Recensera boken
Skriv en recension och dela dina åsikter med andra. Försök att fokusera på bokens innehåll. Läs våra instruktioner för mer information.
Applications to Regular and Bang-Bang Control: Second-Order Necessary and Sufficient Optimality Conditions in Calculus of Variations and Optimal Control
Bokrecensioner » Applications to Regular and Bang-Bang Control: Second-Order Necessary and Sufficient Optimality Conditions in Calculus of Variations and Optimal Control (Advances in Design and Control)
|
|
![Applications to Regular and Bang-Bang Control: Second-Order Necessary and Sufficient Optimality Conditions in Calculus of Variations and Optimal Control (Advances in Design and Control)](/images/background.gif) |
![Applications to Regular and Bang-Bang Control: Second-Order Necessary and Sufficient Optimality Conditions in Calculus of Variations and Optimal Control (Advances in Design and Control)](/images/background.gif) |
|
|
|