Robust stability criteria for uncertain neutral system with time delay and nonlinear uncertainties

This paper investigates the robust stability for a class of uncertain neutral system with time-varying delay and nonlinear uncertainties. A new delay-dependent stability criteria is presented by using Lyapunov method. The stability criteria for such systems in terms of linear matrix inequalities (LMIS). Some numerical examples show that the effectiveness and the significantly important over some existing results.

In this paper, a robust genetic control design problem for a class of uncertain neutral delay systems in state and control input is considered. The methodology is based on the constructive use of the Lyapunov functional, and a new delay-dependent stabilization criterion is proposed to guarantee robust stability for the systems via linear control. Linear matrix inequality (LMI) and genetic algorithm (GA) are used to seek the state-feedback gain without complex mathematics.

Delay-dependent robust stability criteria of uncertain stochastic systems with time-varying delay

On stability criteria for uncertain delay-differential systems of neutral type with time-varying delays

This paper is concerned with the problem of robust stability of uncertain linear systems. The considered system has an interval time-varying delay and norm-bounded uncertainty. Based on a new Lyapunov-Krasovskii functional, which considers the fraction of both the lower and upper bounds of the interval time-varying delay, a delay-dependent criteria for robust stability is established in terms of strict linear matrix inequality (LMI). A numerical example illustrates the effectiveness of the approach and the improvement over previous methods.

Novel delay-dependent robust stability criterion of delayed cellular neural networks

On robust stability criterion for dynamic systems with time-varying delays and nonlinear perturbations

This paper is concerned with stability criteria of networked control systems (NCSs) with both the time-varying network-induced delay and data packet dropout taken into account. A continuous time model of NCSs with time-varying and uncertainties is proposed. Based on the dividing of the time-varying delay, a new Lyapunov functional is constructed, and a delay-dependent stability criterion is derived to guarantee the globally asymptotic stability of the networked control systems (NCSs). Expressed in terms of linear matrix inequalities (LMIs), the stability condition can be checked using the numerically efficient Matlab LMI Control Toolbox. Compared with some report methods, no slack matrix variable is introduced and the proposed methods gave a much less conservative maximum allowable delay bound (MADB). A numerical example is provided to demonstrate the effectiveness of the proposed method.

In this paper, the problem of designing robust guaranteed cost control law for a class of uncertain neutral system with a given quadratic cost function is considered. Based on Lyapunov–Krasovskii functional theory, a delay‐dependent criterion for the existence of guaranteed cost controller is expressed in the form of two linear matrix inequalities (LMIs), which can be solved by using effective LMI toolbox. Moreover, a convex optimization problem satisfying some LMI constraints is formulated to solve a guaranteed cost controller which achieves the minimization of the closed‐loop guaranteed cost. An efficient approach is proposed to design the guaranteed cost control for uncertain neutral systems. Computer software Matlab can be used to solve all the proposed results. Finally, a numerical example is illustrated to show the usefulness of our obtained design method. Copyright © 2006 John Wiley & Sons, Ltd.

A delay decomposition approach to robust stability analysis of uncertain systems with time-varying delay

This paper is concerned with the stability problem for a class of uncertain linear discrete-time systems with time-varying delay. The delay is of an interval-like type, which means that both lower and upper bounds for the time-varying delay are available. The uncertainty under consideration is norm-bounded uncertainty. Based on Lyapunov-Krasovskii functional approach, delay-dependent stability criteria are obtained using a sum inequality which is first introduced and plays an important role in deriving stability conditions. The criteria are formulated in the form of linear matrix inequalities (LMIs). A numerical example is given to show the effectiveness of the proposed criteria.

In this paper, we consider dynamic systems with uncertainties and time-varying delays. Based on the Lyapunov method and convex optimization approach, a delay-dependent criterion for exponential stability of the system is derived in terms of LMI (linear matrix inequality). In order to solve effectively the LMI convex optimization problem, an interior-point algorithm is utilized in this work. Numerical examples are illustrated to show the effectiveness of our results.

A New Delay-dependent Absolute Stability Criterion for Lurie Systems with Time-varying delay

Delay-dependent criteria for robust stability and stabilization of fractional-order time-varying delay systems

This study mainly considers the problem for the robustly exponential stability of uncertain neutral stochastic linear systems with a delay varying in an interval. By constructing an augmented Lyapunov–Krasovskii functional, some new delay-dependent exponential stability criteria for such systems are established in terms of linear matrix inequalities, which involve fewer matrix variables and have less conservatism. Three illustrative numerical examples are given to show the effectiveness of the proposed method.