具有多状态滞后的不确定时变时滞系统的鲁棒镇定
Robust Stabilization for Uncertain Time-Varying Time-Delay Systems with Multi-State Delay
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摘要: 首先给出了具有多状态滞后的时变时滞系统渐近稳定的代数Riccati不等式形式的判据, 并基于此给出了确定性时变时滞系统的镇定方法.然后给出了具有有界参数不确定性的多状态滞 后时变时滞系统的镇定方法.文中的结论非常简单,只需解一个代数Riccati方程.最后给出一个算 例.Abstract: In this paper, a criteria on the delay-independent asymptotic stability is given in the form of algebraic Riccati inequality for linear time-varying time-delay systems with multi-state delay and then a stabilizing method is presented with the memoryless state feedback for this time-delay systems. A robust stabilizing method is presented also derived for the uncertain time-delay systems with time-varying multi-state delay and time-varying unknown-but-bounded uncertain parameters. The results are very simple since only an algebraic Riccati equation need to be solved. At last, a numerical example is given to check the results.
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