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New stability criteria and stabilization methods on networked control systems (NCSs) with short time-varying delay (STVD) are proposed in this paper. An NCS with STVD is transformed into a time-varying discrete time system. And then, this discrete time system is converted into a equivalent time-invariant system with norm-bounded uncertainties by using robust control techniques. Using this method,...
Uncertain Linear Parameter Varying (LPV) systems have a long history of interest in the control community. Those where uncertainties depend on time are more and more treated, for either analysis or design problems. The main issue for large part of them is how to represent the derivative of the time varying parameter. We give in this sense a novel representation of the time derivative of the parameter...
This paper focuses on the robust stability of networked control systems (NCSs), considering time-delay and sampling period simultaneously. Particular stability problems involving constant and/or time-varying parameters are investigated, and the corresponding stability regions are derived. The methods are based on searching an appropriate Lyapunov matrix and parameter-sweeping. It is shown that the...
In this paper we study the robustness analysis problem for linear continuous-time systems subject to parametric time-varying uncertainties making use of piecewise linear (polyhedral) Lyapunov functions. A given class of Lyapunov functions is said to be ldquouniversalrdquo for the uncertain system under consideration if the search of a Lyapunov function that proves the robust stability of the system...
This paper considers the robust asymptotic stability problem of uncertain neural networks with time-varying discrete and distributed delays. By using Lyapunov functional method and by noticing that the useful terms are reserved when estimating the upper bound of the derivative of Lyapunov functional, the novel stability and robust stability criteria are established in terms of linear matrix inequalities...
This paper focuses the problem of delay-dependent stability criteria for a class of time-varying discrete delay neutral systems with time-varying structured uncertainties. A sufficient condition for discrete delay-dependent and neutral delay-independent stability is derived in the terms of the solutions of linear matrix inequality. The new criteria consider the information contained in the nominal...
The issue of robustly exponential stability for uncertain neutral-type systems is considered in this paper. The uncertainties are nonlinear and the discrete-delay is time-varying. In terms of a linear matrix inequality (LMI), the new sufficient stability condition with delay dependence is presented. The model transformation and bounding techniques for cross terms are avoided based on an integral inequality...
The robust stability of Lurpsilae system with time-varying delay and time-varying parametric uncertainties is considered in this letter. The stability condition is given in terms of linear matrix inequality (LMI). Numerical example is given to demonstrate the effectiveness of our theoretical results.
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