Delay-dependent robust H∞ controller design problem for time-delayed systems with a class of nonlinear uncertainties is discussed in the paper. Assuming that the nonlinear uncertain functions in the considered model are gain-bounded, we obtain a sufficient condition for the robustly asymptotic stability and H∞ performance of the closed-loop system in the light of Lyapunov stability theory. By s...

Distributed cooperative control of multi-agent systems is broadly applied in artificial intelligence which time delay great concern because its ubiquitous. This paper considers the controllability leader-follower with input and communication delays. For first-order delay, neighbor-based protocol adopted to realize interactions among agents, yielding a system existed state input. New notions int...

Abstract In this paper, we first consider the stability problem for a class of stochastic quaternion-valued neural networks with time-varying delays. Next, cannot explicitly decompose systems into equivalent real-valued systems; by using Lyapunov functional and analysis techniques, can obtain sufficient conditions mean-square exponential input-to-state networks. Our results are completely new. ...

and Applied Analysis 3 9 A general theory with discussed examples concerning dynamic switched systems is provided in 3 . A class of integrodifferential impulsive periodic systems is investigated in 5 on a Banach space through an impulsive periodic evolution operator. The results in this paper emphasize the importance of evolution operators for analysis of the solution of integrodifferential sys...

The Robust control problem for time varying uncertain linear systems with non-commensurate time varying state and control delays is studied. By solving LMIs we design robust controller, via an observer-based output feedback, which stabilizes the system and reduces the effect of the disturbance input on the controlled output for all admissible uncertainties. The results depend on the time deriva...

This paper is concerned with the problem of synchronization for complex dynamic networks with state and coupling time-delays. Therefore, larger class and more complicated complex dynamic networks can be considered for the synchronization problem. Based on the Lyapunov-Krasovskii functional, a delay-independent criterion is obtained and formulated in the form of linear matrix inequalities (LMIs)...