Stability of Stochastic Functional Differential Equations With Past-Dependent Random Switching Involving Countably Infinite States
IEEE TRANSACTIONS ON AUTOMATIC CONTROL(2024)
Abstract
This work is devoted to stochastic functional differential equations with past-dependent random switching, in which the switching process is allowed to take values in a countable state space. Such processes are rather versatile and arise in a wide variety of applications. A central issue considered in this article is stability. The conditions provided are more general than the existing work. After getting the desired stability results, several applications, including linear systems, linearization of nonlinear systems, multi-agent systems consentability, and networked control systems are examined. Numerical results are also provided to demonstrate our results.
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Key words
Switches,Differential equations,History,Stability criteria,Mathematical models,Delays,Numerical stability,Past-dependent switching,stability,stochastic functional differential equation (SFDE)
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