In this paper, the stability of neural networks with both impulses and time-varying delays on time scale is investigated, the existence of Delta derivative of time-varying delays is not assumed. By employing time scale calculous theory, free weighting matrix method and linear matrix inequality (LMI) technique, a delay-dependent sufficient condition is obtained to ensure the stability of equilib...

The average consensus in undirected networks of multi-agent with both fixed and switching topology coupling multiple time-varying delays is studied. By using orthogonal transformation techniques, the original system can be turned into a reduced dimensional system and then LMI-based method can be applied conveniently. Convergence analysis is conducted by constructing Lyapunov-Krasovskii function...

The global exponential stability is investigated for neural networks with interval time-varying delays. Based on the Leibniz-Newton formula and linear matrix inequality technique, delay-dependent stability criteria are proposed to guarantee the exponential stability of neural networks with interval time-varying delays. Some numerical examples and comparisons are provided to show that the propos...

This paper is concerned with the problem of asymptotic stability for linear systems with time-varying delays. With the introduction of delay-partition approach, some new delaydependent stability criteria are established and formulated in the form of linear matrix inequalities. Both constant time delays and time-varying delays have been taken into account. Numerical examples are given to demonst...

This paper focuses on the problem of finite-time boundedness and finite-time passivity of discrete-time T-S fuzzy neural networks with time-varying delays. A suitable Lyapunov--Krasovskii functional(LKF) is established to derive sufficient condition for finite-time passivity of discrete-time T-S fuzzy neural networks. The dynamical system is transformed into a T-S fuzzy model with uncertain par...

We provide a new sequential predictors approach for the exponential stabilization of linear time-varying systems. Our method circumvents the problem of constructing and estimating distributed terms in the control laws, and allows arbitrarily large input delay bounds, pointwise time-varying input delays, and uncertainties. Instead of using distributed terms, our approach to handling longer delay...

This paper considers the problem of adaptive output feedback tracking control for a class of nonstrict-feedback nonlinear systems with unknown time-varying delays and unknown backlash-like hysteresis. Fuzzy logic systems are used to estimate the unknown nonlinear functions. Based on the Lyapunov–Krasovskii method, the control scheme is constructed by using the backstepping and adaptive techniqu...

This manuscript concerns robust stability analysis of discrete-time LTI systems with varying time delays. The stability problem is treated in the Integral Quadratic Constraint (IQC) framework. The novelty and main contribution of the manuscript is the integral quadratic constraint characterization of the discrete-time time-varying delay operator. The characterization enables the IQC analysis to...

The control of discrete systems with time-varying delays has been researched extensively in the last few decades. Especially in recent years there are increasing interests in discrete-time systems with delays due to the emerging fields of networked control and network congestion control (Altman & Basar 1999; Sichitiu et al., 2003; Boukas & Liu 2001). Stability problem for linear discrete-time s...

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...