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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...
The paper addresses the design of anti-windup control for flexible satellite attitude system with actuator saturation. First, a linear observer-based controller is designed to stabilize the satellite attitude system and realizes flexible vibration suppression without considering saturation. According to the difference between the controller output and the saturated actuator output, an anti-windup...
The paper investigates exponential stabilization problem of systems with time-varying delay via periodically intermittent memory state-feedback control. By constructing a new Lyapunov-Krasovskii functional and employing the free-matrix-based integral inequality, less conservative delay-derivation-dependent conditions are derived in terms of linear matrix inequalities than the existing ones. Particularly,...
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...
Network exists because of human, and plays a vital role also because of our actual requirements. Many networks in the real-world cannot keep working properly without control theory or control behavior. Essentially, control is a combinatorial optimization problem. On the one hand, we aim to achieve the control objectives better and faster; on the other hand, we hope to reduce resource consumption as...
According to the idea of “extended state”, a new control strategy is presented to stabilize Timoshenko beam with boundary disturbances. Similar to the active disturbance rejection control (ADRC) approach, first, the disturbance is estimated by a high gain observer, and then attenuated via the feedback channel. It is shown that the closed-loop system is exponentially stable by Lyapunov method, if the...
Controlling complex systems to desired states is a paramount importance in science and engineering. In this paper, we consider a class of control systems based on non-cooperative dynamical games which can give some light on this kind of complex systems. It involves a hierarchal decision making structure: one leader and multiple followers. The deterministic systems have been studied in the authors'...
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...
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 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...
A class of new type of observers for second-order dynamic systems named proportional plus second-order derivative (P2D) observers are proposed in this paper and their forms are given. Based on a complete general solution to a class of generalized Sylvester matrix equations, the design method of P2D observers in second-order dynamic systems is proposed. The method provides the complete parameterizations...
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