| Delay-dependent stability and stabilization of a class of linear switched time-varying delay systems |
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| 作者单位： | Zhang Lixian（Space Control and Inertial Technology Research Center, Harbin Inst. Of Technology, Harbin 150001, P. R. China） ;
Wang Changhong（Space Control and Inertial Technology Research Center, Harbin Inst. Of Technology, Harbin 150001, P. R. China） ;
Goo Huijun（Space Control and Inertial Technology Research Center, Harbin Inst. Of Technology, Harbin 150001, P. R. China） ; |
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| 摘 要： | The stability and stabilization of a class of linear switched time-varying delay systems are investigated. A piecewise quadratic Lyapunov function (PWQLF) is constructed and is used to obtain the stability conditions based on the linear matrix inequalities (LMIs). The stabilizing controller for this class of system is then designed and the solution of the desired controller can be obtained by a cone complementary linearization algorithm. Numerical examples are provided to illustrate the less conservativeness of the new stability and the validity of the controller design procedures.
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| 收稿时间： | 1 January 2006. |
Delay-dependent stability and stabilization of a class of linear switched time-varying delay systems. |
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| Authors: | Zhang Lixian Wang Changhong Goo Huijun |
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| Institution: | Space Control and Inertial Technology Research Center, Harbin Inst. Of Technology, Harbin 150001, P. R. China |
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| Abstract: | The stability and stabilization of a class of linear switched time-varying delay systems are investigated. A piecewise quadratic Lyapunov function (PWQLF) is constructed and is used to obtain the stability conditions based on the linear matrix inequalities (LMIs). The stabilizing controller for this class of system is then designed and the solution of the desired controller can be obtained by a cone complementary linearization algorithm. Numerical examples are provided to illustrate the less conservativeness of the new stability and the validity of the controller design procedures. |
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| Keywords: | Linear switched systems Time-varying delay Delay-dependent stability Stabilization LMIs |
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