Journal ArticleDOI
On α-stability criteria of nonlinear systems with multiple time delays
Yeong-Jeu Sun,Jer-Guang Hsieh +1 more
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TLDR
Some criteria are proposed to guarantee the α-stability for a class of nonlinear systems with multiple time delays and two numerical examples are provided to illustrate main results.Abstract:
In this paper, the α-stability of nonlinear systems with multiple time delays is considered. Some criteria are proposed to guarantee the α-stability for a class of nonlinear systems with multiple time delays. Two numerical examples are provided to illustrate our main results.read more
Citations
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Journal ArticleDOI
Exponential estimates for retarded time-delay systems: an LMI approach
TL;DR: The estimates and sufficient conditions for the exponential stability of linear time delay systems are given and the functionals used make use of Lyapunov-Krasovskii functionals.
Journal ArticleDOI
On robustly exponential stability of uncertain neutral systems with time-varying delays and nonlinear perturbations
TL;DR: In this article, the authors considered robustly exponential stability for uncertain neutral-type systems, where the uncertainties are nonlinear and the delays are time-varying, and proposed a sufficient stability condition with delay dependence.
Journal ArticleDOI
Stability of linear time-varying delay systems and applications to control problems
Vu Ngoc Phat,Piyapong Niamsup +1 more
TL;DR: In this paper, the stability of a class of linear time-varying systems with multiple delays was studied using the Lyapunov function method, and sufficient delay-dependent conditions for the exponential stability with a given convergence rate were given in terms of linear matrix inequalities and the solution of Riccati differential equations.
Journal ArticleDOI
Exponential stability criteria of uncertain systems with multiple time delays
D.Q Cao,Ping He,Keyue Zhang +2 more
TL;DR: In this paper, the exponential stability of uncertain linear systems with multiple time delays was studied and stability criteria were derived to guarantee α-stability. But the proposed stability criteria are less conservative than those in the literature.
Journal ArticleDOI
Exponential estimates for neutral time delay systems with multiple delays
TL;DR: In this paper, exponential estimates and sufficient conditions for the exponential stability of linear neutral time delay for systems with multiple delays are given, including systems with uncertainties, including uncertainties in the difference operator, and the conditions are expressed in terms of linear matrix inequalities.
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
Feedback Systems: Input-output Properties
TL;DR: In this paper, the Bellman-Gronwall Lemma has been applied to the small gain theorem in the context of linear systems and convolutional neural networks, and it has been shown that it can be applied to linear systems.
Book
Ordinary and Delay Differential Equations
Rodney D. Driver,Jack K. Hale +1 more
TL;DR: In this paper, the authors consider the stability properties of functional differential equations with infinite delay, and show that the stability of these equations can be characterized by the existence of periodic solutions to these problems.
Journal ArticleDOI
Criteria for asymptotic stability of linear time-delay systems
TL;DR: In this article, sufficient conditions for linear time-delay systems are derived and expressed by succinct scalar inequalities, which correspond to a certain extent to the tradeoff between simplicity and sharpness.
Journal ArticleDOI
Simple stability criteria for single and composite linear systems with time delays
TL;DR: In this article, several stability conditions with an extremely simple form are provided for single linear systems with time delays, and these results are extended to the composite linear systems which exist in each subsystem and in the interconnections between subsystems.