This paper deals with the problems of stability analysis and control synthesis with H∞ performance for the master-slave synchronization of Lur’e systems using a time-delay feedback control. The proposed approach consists in obtaining a new improvedH∞ robust stability criteria as well as a control law based on linear matrix inequalities (LMIs) via discretized Lyapunov–Krasovskii functional combi...

In this paper, the problem of stability analysis of nonlinear stochastic Hopfield neural networks(FHNNs) with time-varying delays is investigated by using the Takagi-Sugeno(T-S) approach. Combined with both the fuzzy relaxed technique and an improved free-weighting matrix approach with weighting-dependent Lagrange multipliers, less conservative stability criteria is proposed via the Lyapunov-Kr...

This paper is concerned with network-based sampled-data observer design problem for a class of switched linear systems in the finite-time H∞ sense. Outputs sampling and the detection of mode variations are both performed via a clock-driven approach, and networkinduced limitations involving transmission delays and data packet dropouts are also taken into account. Moreover, we introduce a novel m...

In this paper, the problems of robust stabilization and H∞ control for uncertain stochastic systems with multiple time delays represented by the Takagi-Sugeno (T-S) fuzzy model have been studied. By constructing a new Lyapunov-Krasovskii functional (LKF) and using the bounding techniques, sufficient conditions for the delay-dependent robust stabilization and H∞ control scheme are presented in t...

In this paper, the robust H1 filtering problem for uncertain stochastic genetic regulatory networks (GRNs) with mixed time-varying delays is involved. The uncertain stochastic GRNs under consideration are extended to involve Itô-type stochastic disturbance, norm-bounded parameter uncertainties, and time-varying discrete and distributed delays. By constructing a proper Lyapunov–Krasovskii functi...

Through the comparison and analysis of some recent patents on the fault-tolerant designed method, this paper addresses the problem of robust guaranteed cost fault-tolerant for nonlinear networked control systems (NNCS) with network-induced delay and packed dropout. Firstly, we adopt observer and state-feedback control strategy, wherein states are immeasurable. Then, by constructing appropriate ...

The unbiased H1 filtering problem is considered for a class of Markov jump systems (MJSs) with distributed time-delays. Based on the selected Lyapunov–Krasovskii functional, it gives a sufficient condition for the existence of the mode-dependent unbiased H1 filter such that the filtering error dynamic MJSs is stochastically stable and satisfies a prescribed level of H1 disturbance attenuation i...

This paper deals with the problem of absolute stability of neutral type Lur’e systems with time-varying delays. By constructing new Lyapunov-Krasovskii functional, a matrix-based on quadratic convex approach combining with some improved bounding techniques for integral terms such as Wirtinger-based integral inequality, new stability condition is much less conservative and more general than some...

In this paper, the problem of exponential stability for a class of polytopic neutral systems with nondifferentiable interval time-varying delays is studied. By using an improved Lyapunov–Krasovskii parameter-dependent functional and linear matrix inequality (LMI) technique, new delay-dependent sufficient conditions for the exponential stability of the systems are first established in terms of l...

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...