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Finite-Time Stability of Large-Scale Systems with Interval Time-Varying Delay in Interconnection

机译:互连系统具有时变时滞的大型系统的有限时间稳定性

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We investigate finite-time stability of a class of nonlinear large-scale systems with interval time-varying delays in interconnection. Time-delay functions are continuous but not necessarily differentiable. Based on Lyapunov stability theory and new integral bounding technique, finite-time stability of large-scale systems with interval time-varying delays in interconnection is derived. The finite-time stability criteria are delays-dependent and are given in terms of linear matrix inequalities which can be solved by various available algorithms. Numerical examples are given to illustrate effectiveness of the proposed method.
机译:我们研究了一类具有间隔时变时滞互连的非线性大系统的有限时间稳定性。延时功能是连续的,但不一定是可微的。基于Lyapunov稳定性理论和新的积分有界技术,推导了具有间隔时变时滞的大型系统的有限时间稳定性。有限时间稳定性标准是与延迟有关的,并根据线性矩阵不等式给出,可以通过各种可用算法来求解。数值例子说明了该方法的有效性。

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