Delay-Dependent Robust Stability and Stabilization for Polytopic Systems with Time-Varying Delay
【摘要】:正The paper addresses robust stability and stabilization for continuous time-delay systems with polytopic uncertainty. The delay is assumed time-varying with both its value and variation rate being bounded.Based on a new Lyapunov-Krasovskii functional and the application of delay partitioning and the Jensen inequality techniques,a set of sufficient LMI conditions is obtained to ensure the asymptotical stability of a nominal system.Since there is no product term of Lyapunov matrix with any system matrix,the extension to cope with polytopic uncertainty is straightforward.The robust stabilization problem of computing a state feedback gain is also solved.Numerical examples are given to show the effectiveness and the improvement of the derived results.
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Amr Ahmed Roshdy Mahmoud;[D];长春理工大学;2013年 |
2 |
于天秋;同时稳定化的传递性及系统的可靠性[D];吉林大学;2011年 |
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