This paper addresses the robust H∞ issue of uncertain Markovian jump linear systems (MJLSs) with mode-dependent time-delays. A new delay-dependent condition on the stochastic stability is proposed by a new stochastic LyapunovKrasovskii functional. The stability conditions are formulated as bilinear matrix inequalities solvable by an iterative linear matrix inequality (LMI) method. Then a new ro...

The existence, uniqueness and global robust exponential stability is analyzed for a class of uncertain neutral-type bidirectional associative memory (BAM) neural networks with time-varying delays. Without assuming the boundedness of the activation functions, by constructing a novel class of augmented LyapunovKrasovskii functional, new relaxed delay-dependent stability criteria of the unique equ...

This paper considers the stability of systems with fast-varying delay. The novelty of the paper comes from the consideration of a new integral inequality which is proved to be less conservative than the celebrated Jensen’s inequality. Based on this new inequality, a dedicated construction of LyapunovKrasovskii functionals is proposed and is showed to have a great potential efficient in practice...

This paper investigates the problem of exponential stability for a class of uncertain discrete-time stochastic neural network with time-varying delays. By constructing a suitable LyapunovKrasovskii functional, combining the stochastic stability theory, the free-weighting matrix method, a delay-dependent exponential stability criteria is obtained in term of LMIs. Compared with some previous resu...

This paper considers interval time-varying delay systems. The time-delay interval is divided into several zones and the systems switch among the different zones. Based on LyapunovKrasovskii functional methods and linear matrix inequality (LMI) techniques, Exponential stability is exploited for every time-delay zone. The global stability of the switched system is guaranteed if some minimum avera...

This paper studies quantized and delayed state-feedback control of linear systems. We consider two types of quantization: quantized feedback and quantized state. The quantizer may be either unconstrained or saturated with a given quantization error bound. The delay is supposed to be time-varying and bounded. The controller is designed with the following property: all the states of the closed-lo...

In this paper, a global stability analysis is given for a rate-based congestion control system modeled by a nonlinear delayed differential equation. The model determines the dynamics of a single-source single-link network, with a timevarying capacity of link and a fixed communication delay. We obtain a sufficient delay-independent conditions on system parameters under which global asymptotic st...

The problem of delay-range-dependent exponential synchronization is investigated for Lur’e master-slave systems with delay feedback control and Markovian switching. Using LyapunovKrasovskii functional and nonsingular M-matrix method, novel delayrange-dependent exponential synchronization in mean square criterions are established. The systems discussed in this paper is advanced system, and takes...

This paper investigates the problem of guaranteed cost control for a class of uncertain distributed delay systems with neutral type. A sufficient condition for the solvability of this problem is obtained. A novel LyapunovKrasovskii functional is constructed to reduce conservatism of the criterion in form of LMIs. Some mathematical techniques are utilized flexibly. Especially, the exchange of th...

This paper proposes an adaptive neural network (NN) controller for a class of multi-input multi-output (MIMO) nonlinear systems with unknown delays, but with known bounds on the delay functionals. The use of a separation technique removes the need to make any assumptions with regard to the structure of the delay functionals, thus making our results applicable to a larger class of systems. Given...