Title of Paper:Approximate and exact controllability of switched infinite dimensional linear systems

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Journal:IEEE Transactions on Automatic Control

Abstract:This paper addresses the approximate and exact controllability issues of switched infinite dimensional linear systems. Firstly, a controllability map that is related to switching sequence and a controllability Gramian operator are proposed, based on which two necessary and sufficient conditions are established respectively for approximate and exact controllability; Secondly, it shows that the obtained conditions can degenerate into the existing controllability criteria of infinite dimensional linear systems, switched finite dimensional linear systems and single finite dimensional linear system; Finally, the new results are applied to analyze the approximate controllability of switched linear parabolic systems and the exact controllability of switched linear wave systems. Two examples are given to illustrate the effectiveness of the proposed approaches.

Volume:67

Issue:10

Page Number:5304-5317

Translation or Not:no

Date of Publication:2022-10-03

Included Journals:SSCI

Co-author:Hao Yang,Bin Jiang