Premium
Finite‐time boundedness and L 2 ‐gain analysis for switched positive linear systems with multiple time delays
Author(s) -
Liu Yang,
Tao Wei,
Lee Liming,
Lu Jianquan
Publication year - 2017
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.3746
Subject(s) - dwell time , control theory (sociology) , mathematics , constraint (computer aided design) , linear system , asynchronous communication , lyapunov function , nonlinear system , computer science , control (management) , mathematical analysis , physics , medicine , clinical psychology , computer network , geometry , quantum mechanics , artificial intelligence
Summary In this paper, we study the finite‐time boundedness, stabilization, and L 2 ‐gain for switched positive linear systems (SPLS) with multiple time delays. Using multiple linear copositive Lyapunov functions, sufficient conditions in terms of linear matrix inequalities are obtained for the problems of finite‐time boundedness and stabilization and the design of state feedback controllers for SPLS. Under asynchronous switching, L 2 ‐gain analysis is developed for SPLS under the constraint of average dwell time. Numerical examples are given to illustrate our theoretical results. Copyright © 2017 John Wiley & Sons, Ltd.