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引用次数: 0
摘要
本文致力于为一类连续时间时变切换奇异系统（CTSSS）在慢/快/慢切换信号下提出改进的输入到状态稳定性（ISS）标准。具体来说，对于具有时变奇异矩阵的 CTSSS，作者首先基于平均停留时间法和松弛的多重 Lyapunov 函数，提出了验证其在慢速开关信号下 ISS 的改进充分条件。然后，考虑到几个或所有子系统都可能破坏整体 ISS，提出了松弛充分条件，分别确保 CTSSS 在快速开关信号和慢-快开关信号下的 ISS。需要注意的是，所提出的 ISS 准则的改进体现在所需的多个 Lyapunov 函数的导数与 CTSSS 的状态轨迹可以是正的，也可以是负的。最后，我们提供了三个数值示例来说明所获结果的可行性。
Improved input-to-state stability criteria for time-varying switched singular systems
This paper is dedicated to proposing improved input-to-state stability (ISS) criteria for a class of continuous-time time-varying switched singular systems (CTSSS) under slow/fast/slow-fast switching signals. Specifically, for a CTSSS with time-varying singular matrices, the authors start with an improved sufficient condition for verifying its ISS under slow switching signals based on the average dwell time method and a relaxed multiple Lyapunov function. Then, considering several or all subsystems may destroy the overall ISS, relaxed sufficient conditions are presented to ensure the ISS of the CTSSS under fast switching signals and slow-fast switching signals, respectively. Note that the improvement of the proposed ISS criteria is embodied in the derivative of the required multiple Lyapunov functions along with the state trajectories of CTSSS can be positive or negative. Finally, three numerical examples are provided to illustrate the feasibility of the obtained results.
期刊介绍：
IET Control Theory & Applications is devoted to control systems in the broadest sense, covering new theoretical results and the applications of new and established control methods. Among the topics of interest are system modelling, identification and simulation, the analysis and design of control systems (including computer-aided design), and practical implementation. The scope encompasses technological, economic, physiological (biomedical) and other systems, including man-machine interfaces.
Most of the papers published deal with original work from industrial and government laboratories and universities, but subject reviews and tutorial expositions of current methods are welcomed. Correspondence discussing published papers is also welcomed.
Applications papers need not necessarily involve new theory. Papers which describe new realisations of established methods, or control techniques applied in a novel situation, or practical studies which compare various designs, would be of interest. Of particular value are theoretical papers which discuss the applicability of new work or applications which engender new theoretical applications.
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