滞后线性时变连续大系统的滞后相关稳定性
Delay-dependent Stability of Linear Time-varying Continuous Large-escale Systems with Time-delays
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摘要: 应用向量Lyapunov函数法结合比较原理,研究了滞后线性时变连续(大)系统的稳定性,得到了充分判据,且这些判据中包含有滞后信息、因此称为滞后相关稳定性判据。在实际系统中,尤其是当滞后较小时,它们通常能给出较优的结果。Abstract: The stability of linear time-varying continuous-time (large-scale) systems with time-delays is studied by using vector Lyapunov functions with uncontinuous derivate and the comparison principle.Some simple stability criteria including information of delays are proposed. They are used as delay-dependent stability criterion. When delays in the practical systems are small,delay-dependent tests can give better results.