论文标题

信号按时间尺度设置,并应用于混合系统

Signal Sets on Time Scales with Application to Hybrid Systems

论文作者

Lee, Ti-Chung, Tan, Ying, Mareels, Iven

论文摘要

最近,开发时间尺度计算是为了统一连续和离散的分析。通过正确扩展时间尺度的定义,本文以所谓的伪距离度量介绍了信号集的概念以及其稳定性。这会导致更一般的Lyapunov类似的条件,以检查具有混合性质的系统的稳定性。通过示例,提出的框架用于模拟具有简单性和灵活性的混合系统,以表征混合系统行为中的轨迹。

Recently, time scales calculus is developed to unify continuous and discrete analysis. By extending the definition of time scales properly, this paper introduces the concept of a signal set as well as its stability properties in terms of the so-called pseudo distance measure. This leads to more general Lyapunov like conditions to check stability properties of systems with hybrid nature. By way of examples, the proposed framework is used to model hybrid systems with simplicity and flexibility to characterize trajectories in the behavior of hybrid systems.

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