时标信号集及其在混杂系统中的应用
Signal Sets on Time Scales with Application to Hybrid Systems
摘要：
近年来，时标微积分被发展为统一连续和离散分析。本文通过对时标定义的适当扩展，引入了信号集的概念，并利用伪距离测度讨论了信号集的稳定性。这导致了更一般的李雅普诺夫条件，以检查具有混合性质的系统的稳定性。通过例子，所提出的框架被用来建模混杂系统的简单性和灵活性，以表征轨迹的混杂系统的行为。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
