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In this paper, we address the problem of a unique equilibrium point and present global asymptotic stability for Hopfield neural networks with time-varying delays. By constructing a Lyapunov functional, a new stability criterion for the network is established in terms of differential inequality technique. Finally, an illustrative numerical example is included to show the effectiveness of proposed criterion.
Based on Takagi-Sugeno (T-S) fuzzy models, the problem of robust stability for a class of uncertain stochastic fuzzy systems with time-varying delays is studied. First, a class of uncertainty T-S dynamical fuzzy systems is given. By constructing Lyapunov-Krasovskii functional, novel delay-dependent stability sufficient conditions are derived based on linear matrix inequality(LMI). The results are...
This note investigates the control problems for a class of Markovian jump systems with time-varying delays and actuators saturation. With direct Lyapunov methods, sufficient conditions for local stochastic stability is derived, and an estimate of domain of attraction is presented correspondingly. Numerical simulations are given in the end to demonstrate the validity of the results.
This paper deals with the problem of stability analysis for singular LPV systems with time-varying delay. Firstly, a criterion described by linear matrix inequalities (LMIs) is obtained based on the construction of a new parameter-dependent Lyapunov function. Secondly, based on projection approach, a new stability criterion is given with reduction both in conservatism and computational complexity...
This paper presents linear matrix inequalities for stability analysis for networked control systems (NCSs) that incorporates various network phenomena: time-varying sampling intervals, packet dropouts and time-varying delays that may be both smaller and larger than the sampling interval. The problem is approached from a discrete-time modelling perspective. A comparison is made between the use of parameter...
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