Journal ArticleDOI
New stability conditions for nonlinear time varying delay systems
TLDR
New practical stability conditions for a class of nonlinear time varying delay systems are proposed based on the use of a specific state space description, known as the Benrejeb characteristic arrow form matrix, and aggregation techniques to obtain delay-dependent stability conditions.Abstract:
In this paper, new practical stability conditions for a class of nonlinear time varying delay systems are proposed. The study is based on the use of a specific state space description, known as the Benrejeb characteristic arrow form matrix, and aggregation techniques to obtain delay-dependent stability conditions. Application of this method to delayed Lurie–Postnikov nonlinear systems is given. Illustrative examples are presented to show the effectiveness of the proposed approach.read more
Citations
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Journal ArticleDOI
Differential-Difference Equations. By Richard Bellman and Kenneth L. Cooke. Pp. xvi, 465. 1963. (Academic Press)
Journal ArticleDOI
Finite-time stability of a class of nonlinear fractional-order system with the discrete time delay
TL;DR: Using the Laplace transform, the Mittag-Leffler function and the generalised Gronwall inequality, the new criterions are derived to guarantee the finite-time stability of the system with the fractional-order 0 < α < 1.
Journal ArticleDOI
On Robust Stability Analysis of Uncertain Discrete-Time Switched Nonlinear Systems with Time Varying Delays
Marwen Kermani,Anis Sakly +1 more
TL;DR: A novel robust stability criterion under arbitrary switching signals is derived by contracting a new common Lyapunov-Krasovskii functional as well as resorting to the M-matrix proprieties and a generalization for switched nonlinear systems with multiple delays is proposed.
Journal ArticleDOI
Pole assignment stabilization for a class of switched nonlinear time-varying delay systems.
TL;DR: The proposed design can guarantee the stability of the closed-loop systems under arbitrary switching and allows to avoid researching a common Lyapunov function (CLF) considered a difficult matter.
Journal ArticleDOI
Lead-lag Controller Design for Time Delay Systems Using Genetic Algorithms
TL;DR: In this article, the set of all stabilizing lead-lag controllers applied to a class of linear time delay systems is obtained and stability regions are used as search space for Genetic Algorithms (GA) to minimize several performance indices of the closed loop system.
References
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Book
Theory of Functional Differential Equations
TL;DR: In this paper, Liapunov functional for autonomous systems is used to define the saddle point property near equilibrium and periodic orbits for linear systems, which is a generalization of the notion of stable D operators.
Book
Stability of Time-Delay Systems
TL;DR: Preface, Notations 1.Introduction to Time-Delay Systems I.Robust Stability Analysis II.Input-output stability A.LMI and Quadratic Integral Inequalities Bibliography Index
Journal ArticleDOI
Time-delay systems: an overview of some recent advances and open problems
TL;DR: Some open problems are discussed: the constructive use of the delayed inputs, the digital implementation of distributed delays, the control via the delay, and the handling of information related to the delay value.
Book
Differential-Difference Equations
Richard Bellman,Kenneth L. Cooke +1 more
TL;DR: In this paper, the authors introduce the study of differential difference equations and discuss some of the main features of the theory, and discuss the asymptotic behavior of solutions and the problem of stability.