【摘要】 研究一类具有区间时变时滞的离散不确定广义Markov跳变系统的时滞相关鲁棒稳定性问题.通过将Jensen不等式与一个新的定界不等式相结合,得到了一个新的稳定性判据,该判据中仅含有Lyapunov变量,具有较小的计算负担.进而,基于凸组合方法得到了另一个新的稳定性判据,该判据引入了一些自由矩阵变量,具有较小的保守性.数值算例表明了所提出方法的有效性.更多还原

【Abstract】 The problem of delay-dependent robust stability for a class of discrete-time uncertain singular Markovian jump systems with interval time-varying delay is studied.By combining the Jensen inequality with a new bounding inequality,a novel stability criterion is obtained,which involves only Lyapunov variables and has less computation burden.Based on the convex combination method,another novel stability criterion is proposed,which introduces some free matrix variables and is less conservative.Numerical examples show the effectiveness of the proposed approach.更多还原