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The exponential stability and uniformly exponential stability of the non-autonomous systems with time delay on time scales are studied in this paper. Using the Lyapunov-Krasovskii functional approach and the Riccati technique on time scales, a sufficient condition for the exponential stability of the considered system is derived. Further, by using the Gronwall's Inequality on time scales, a sufficient...
This paper focuses on the problem of exponential stability for neural networks with time-varying delay. By introducing a novel Lyapunov-Krasovskii functional, a new criterion of exponential stability is derived. This newly presented criterion does not require all the symmetric matrices involved in the employed integral terms of the quadratic Lyapunov-Krasovskii functional to be positive definite....
This paper aims to investigate the exponential stability of general stochastic functional differential systems with delayed impulses. By using the average impulsive interval and the Lyapunov function method, we derive some sufficient conditions for exponential stability, which are less conservative than those existing results based on the supremum or infimum of impulsive interval and more convenient...
The study of evolution systems driven by noises including Brownian motion, impulses, Poisson jump in Hilbert spaces has been reported extensively and applied in many fields such as engineering, physics, economics and biology. In this paper, a class of stochastic evolution jump-diffusions driven by impulses are studied. Some sufficient conditions which ensure pth moment exponential stability of mild...
This paper is concerned with the problem of almost sure exponential stability and moment exponential stability for a class of stochastic parabolic complex neural networks driven by space-time white noise. The sufficient conditions ensuring the almost sure exponential stability and moment exponential stability of the systems are developed by using strong Itô function and Nonnegative semi-martingale...
This paper studies the problem of robust exponential stability of a class of switched systems with uncertainties and delay varying in an interval. By using a newly constructed Lyapunov-Krasovskii functional (LKF) and the average dwell time scheme, delay-dependent sufficient conditions are obtained which are expressed as linear matrix inequalities (LMIs). These conditions provide a solution for finding...
This paper presents a design method of nonlinear disturbance observer based control (NLDOBC) for a class of nonlinear systems with the disturbance modeled by the nonlinear exosystem. First, the virtual disturbance measurement output is defined. Then, a NLDOBC scheme is constructed to estimate and compensate the modeled disturbance. Subsequently, an linear matrix inequality (LMI)-based design method...
This paper concerns with the global exponential stability for a class of high-order BAM neural networks with mixed time-varying delays and Markovian jumping parameters. By constructing a novel Lyapunov-Krasovskii functional, and applying Linear Matrix Inequality (LMI) approach as well as stochastic analysis theory, a new sufficient condition is derived to guarantee the exponential stability in the...
In this paper, we study the global exponential stability problem for a class of discrete-time memristive recurrent neural networks (MRNNs) with time-varying delays. For the neural networks under consideration, the activation functions are assumed to be slope-bounded. By employing the theories of set-valued mapping, difference inclusions as well as homeomorphic mapping, the existence of the equilibrium...
Periodic switching system is an important class of switching systems. There are lots of issues to study in the field of designing switching laws for periodic switching systems and making it work optimally under the premise of global uniform exponential stability. In the research of how to achieve the optimal switching control for periodic switching systems when periodic running time of one of the...
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