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首页> 外文期刊>Nonlinear analysis. Hybrid systems: An International Multidisciplinary Journal >Robust stability of switched positive linear systems with interval uncertainties via multiple time-varying linear copositive Lyapunov functions
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Robust stability of switched positive linear systems with interval uncertainties via multiple time-varying linear copositive Lyapunov functions

机译：通过多个时变线性成型Lyapunov函数具有间隔不确定性的开关正线性系统的鲁棒稳定性

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This paper studies the robust stability analysis of a class of switched positive linear systems with uncertainties in the framework of dwell time switching. The uncertainties refer to interval uncertainties. Two classes of dwell time switching signals are considered in this paper: (i) the first class is confined by a certain pair of upper and lower bounds; (ii) the other is the minimum dwell time. First, a class of multiple time-varying linear copositive Lyapunov functions is constructed to analyze the robust stability of the studied switched system. Then, under the pre-given dwell time switching, the sufficient conditions are obtained by restricting the decay of the Lyapunov functions of the active subsystem and forcing "energy" of the overall switched system to decrease at switching instants by the proposed Lyapunov functions. All present conditions are solvable in terms of linear programming. An example is considered in order to emphasize the effectiveness of the proposed approach. (C) 2018 Elsevier Ltd. All rights reserved.
机译：本文研究了一类具有不确定性的一类交换正线性系统的稳定性稳定性分析，在停留时间切换框架中具有不确定性。不确定性指的是间隔不确定性。本文考虑了两类停留时间切换信号：（i）第一类被某一对上限和下限限制; （ii）另一个是最低停留时间。首先，构建一类多个时变线性成型Lyapunov功能，以分析所研究的开关系统的鲁棒稳定性。然后，在给定的停留时间切换下，通过限制有源子系统的Lyapunov函数的衰减并强制整个交换系统的“能量”来获得足够的条件，以通过提出的Lyapunov功能在切换时刻减少。所有现有条件都是可解决的线性规划。考虑一个例子，以强调提出的方法的有效性。 （c）2018年elestvier有限公司保留所有权利。

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