In this paper, a filter design scheme is proposed for Lipschitz nonlinear systems with delays. It is assumed that the measurements are transmitted through a communication network and therefore reach the filter with an uncertain delay. The design methodology is formulated as an optimization problem with LMI constraints, which are derived using a less conservative Lyapunov-Krasovskii function and...

In this paper time-delay effects on the master–slave synchronization scheme are investigated. Sufficient conditions for master–slave synchronization of Lur’e systems are presented for a known time-delay in the master and slave systems. A delay-dependent synchronization criterion is given based upon a new Lyapunov–Krasovskii function. The derived criterion is a sufficient condition for global as...

This paper considers the problem of delay-dependent stability criteria for neural networks with timevarying delays. First, by constructing a newly augmented Lyapunov–Krasovskii functional, a less conservative stability criterion is established in terms of linear matrix inequalities (LMIs). Second, by proposing a novel activation function condition which has not been considered, a further improv...

In this paper, a novel robust delay-dependent guaranteed cost controller is introduced for a class of uncertain nonlinear neutral systems with both norm-bounded uncertainties and nonlinear parameter perturbations. A neutral memory state-feedback control law is chosen such that a quadratic cost function is minimized. On the basis of a descriptor type model transformation, an augmented descriptor...

In this paper, the problem of global synchronization for a class of general delayed dynamical networks with non-symmetric coupling is dealt with. The approach taken in the paper is to estimate the error state variable between any two models of the networks directly. By using a Lyapunov-Krasovskii function and comparison theorem, some simple and efficient criteria for the stability of synchroniz...

This paper addresses a novel spherical formation tracking control problem of multiple UAVs with time-varying delays in the directed communication network, where dynamics each UAV is non-holonomic and presence spatiotemporal flowfields. The state constraints (that is, position velocity constraints) are derived from our previous differential geometry method F–S formulas. time network bring many d...

Abstract This paper presents new exponential stability conditions for a class of linear systems with time-varying delay. Unlike the previous works, the delay function considered in this paper is time-varying without any requirement on the derivative, which means that a fast time-varying delay is allowed. Based on an improved Lyapunov-Krasovskii functional combined with Newton-Leibniz formula an...

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...

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...

This note considers the problems of stability and stabilization for discretetime switched nonlinear systems with time-varying delay. The nonlinearity is assumed to satisfy a special constraint. The purpose of the robust stability problem is to give conditions such that the discrete-time switched nonlinear delay system is exponentially stable, while the purpose of stabilization is to design a st...