Abstract This paper investigates the stability of totally positive switched linear systems (TPSLSs), for the continuous-time case and the discrete-time case. The multiple linear copositive Lyapunov function (MLCLF) is used to study exponential stability of the considered system with average dwell time. Then the case with common linear copositive Lyapunov function (CLCLF) is also established. Sufficient conditions to ensure the stability are given. Finally, numerical examples are presented to validate the efficiency of the derived results.

中文翻译：

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具有平均驻留时间切换的全正切换线性系统的稳定性分析

摘要 本文研究了完全正切换线性系统 (TPSLS) 在连续时间和离散时间情况下的稳定性。多元线性共正李雅普诺夫函数 (MLCLF) 用于研究所考虑系统在平均停留时间下的指数稳定性。然后还建立了具有公共线性同正李雅普诺夫函数（CLCLF）的情况。给出了保证稳定性的充分条件。最后，给出了数值例子来验证导出结果的有效性。