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首页> 外文期刊>IEEE Transactions on Automatic Control >New Results on Stability of Discrete-Time Systems With Time-Varying State Delay
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New Results on Stability of Discrete-Time Systems With Time-Varying State Delay

机译：具有时变状态时滞的离散系统稳定性的新结果

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This note is concerned with the stability analysis of discrete-time systems with time-varying state delay. By defining new Lyapunov functions and by making use of novel techniques to achieve delay dependence, several new conditions are obtained for the asymptotic stability of these systems. The merit of the proposed conditions lies in their less conservativeness, which is achieved by circumventing the utilization of some bounding inequalities for cross products between two vectors and by paying careful attention to the subtle difference between the terms Sigmam=k-dk k-1(middot) and Sigma m=k-dM k-1(middot), which is largely ignored in the existing literature. These conditions are shown, via several examples, to be much less conservative than some existing result
机译：该注释涉及具有时变状态延迟的离散时间系统的稳定性分析。通过定义新的Lyapunov函数并利用新颖的技术来实现时延依赖性，为这些系统的渐近稳定性获得了几个新条件。拟议条件的优点在于其保守性较低，这是通过避免利用两个向量之间的叉积的某些边界不等式并通过仔细注意术语Sigmam = k-dk k-1（ Middot）和Sigma m = k-dM k-1（middot），这在现有文献中基本上被忽略。通过几个示例显示，这些条件比某些现有结果要保守得多

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