Applications to Regular and Bang-Bang Control: Second-Order Necessary and Sufficient Optimality Conditions in Calculus of Variations and Optimal ... in Design and Control, Series Number 24) - Softcover

Osmolovskii, Nikolai P.; Maurer, Helmut

Softcover

ISBN 10: 1611972353 ISBN 13: 9781611972351

Publisher: Society for Industrial and Applied Mathematics, 2014

Synopsis

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.

About this title

About the Authors

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.

Helmut Maurer has held a professorship at the University of Münster since 1977; he retired in 2010, but remains active in many international research projects.

Edition details

• Publisher: Society for Industrial and Applied Mathematics
• Publication date: 2014
• ISBN 10: 1611972353
• ISBN 13: 9781611972351
• Binding: Paperback
• Language: English
• Number of pages: 390