Applications to Regular and Bang-Bang Control

丛 书 名：Advances in Design and Control

作     者：Nikolai P. Osmolovskii Helmut Maurer 

I S B N：(纸本) 9781611972351 

出 版 社：Society for Industrial and Applied Mathematics 

出 版 年：2012年

主 题 词：Pontryagin's principle second order optimality conditions regular and bang-bang control numerical methods applications 

馆 藏 号：201770295...

摘      要：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 both the equality and inequality type and for mixed state-control constraints of the 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.