论文标题
带有轻松的Lyapunov-Krasovskii功能的ISS表征智障开关系统 *
ISS characterization of retarded switching systems with relaxed Lyapunov-Krasovskii functionals *
论文作者
论文摘要
本文提供了有关lyapunov-krasovskii的进一步见解，该表征是根据[I. Haidar和P. Pepe。 lyapunov-krasovskii的输入到状态稳定性的表征，用于切换智障系统。 Siam Control and Optimization杂志，59（4）：2997-3016，2021]。我们通过存在放松的共同lyapunov-krasovskii功能来赋予ISS特性的新特征。更确切地说，我们表明，连续的Lyapunov-Krasovskii功能的存在，其上方的右DINI衍生物几乎可以满足耗散不平等的需求，对于具有可测量的输入和可测量的开关信号的开关延迟系统的ISS是必需的，并且足以满足ISS的ISS。还给出了使用不同衍生概念的不同表征结果。
This paper gives further insights about the Lyapunov-Krasovskii characterization of input-tostate stability (ISS) for switching retarded systems on the basis of the results in [I. Haidar and P. Pepe. Lyapunov-krasovskii characterization of the input-to-state stability for switching retarded systems. SIAM Journal on Control and Optimization, 59(4):2997-3016, 2021]. We give new characterizations of the ISS property through the existence of a relaxed common Lyapunov-Krasovskii functional. More precisely, we show that the existence of a continuous Lyapunov-Krasovskii functional whose upper right-hand Dini derivative satisfies a dissipation inequality almost everywhere is necessary and sufficient for the ISS of switching retarded systems with measurable inputs and measurable switching signals. Different characterization results, using different derivative notions, are also given.
