[PDF] 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)

ISBN: 1611972353

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Posted on 2017-10-30, by luongquocchinh.

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Author: Nikolai P. Osmolovskii | Category: Mathematics | Language: English | Page: 400 | ISBN: 1611972353 | ISBN13: 9781611972351 |

Description: 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.

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