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Date:2019-03-09

Indexed by:Journal Article

Date of Publication:2014-05-01

Journal:JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Included Journals:Scopus、EI、SCIE

Volume:261

Page Number:287-298

ISSN:0377-0427

Key Words:Switched systems; Optimal switching control; Optimal control; Parallel algorithm; Nonlinear hybrid system

Abstract:In this paper, a class of optimal switching control problems is considered in which the mode sequence of active subsystems and the number of mode switchings are not pre-specified, and both the switching sequence and the control inputs are to be chosen such that the cost functional is minimized. For solving this problem, we discuss the necessary conditions for optimality and the construction method for suboptimal solutions, and develop a few sufficient conditions of judgment on the optimal or suboptimal solutions of the switched system. According to the sufficient conditions, a parallel computational algorithm is constructed to find optimal or suboptimal solutions. For illustration, two examples are solved using the proposed algorithm. (C) 2013 Elsevier B.V. All rights reserved.