A Variational Approach to Optimal Control of ODEs

丛 书 名：Advances in Design and Control

作     者：Pablo Pedregal 

I S B N：(纸本) 9781611977103 

出 版 社：Society for Industrial and Applied Mathematics 

出 版 年：2022年

主 题 词：Direct method of the calculus of variations constrained variational problems convex analysis Euler-Lagrange system multipliers feedback optimality point-wise constraint variational reformulation weak lower semicontinuity 

学科分类：0711[理学-系统科学] 07[理学] 08[工学] 070105[理学-运筹学与控制论] 081101[工学-控制理论与控制工程] 071101[理学-系统理论] 0811[工学-控制科学与工程] 0701[理学-数学] 

摘      要：This self-contained book presents in a unified, systematic way the basic principles of optimal control governed by ODEs. Using a variational perspective, the author incorporates important restrictions like constraints for control and state, as well as the state system itself, into the equivalent variational reformulation of the problem. The fundamental issues of existence of optimal solutions, optimality conditions, and numerical approximation are then examined from this variational viewpoint. Readers will find a unified approach to all the basic issues of optimal control,academic and real-world examples testing the book s variational approach, anda rigorous treatment stressing ideas and arguments rather than the underlying mathematical formalism.