Journal ArticleDOI
Technical communique: On robust stability of neutral systems with time-varying discrete delay and norm-bounded uncertainty
TLDR
A delay-dependent stability criterion is obtained and formulated in the form of a linear matrix inequality that indicates the robust stability of uncertain linear neutral systems with time-varying discrete delay.About:
This article is published in Automatica.The article was published on 2004-06-01. It has received 223 citations till now. The article focuses on the topics: Circle criterion & Stability criterion.read more
Citations
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Journal ArticleDOI
Technical communique: Delay-range-dependent stability for systems with time-varying delay
TL;DR: The present results may improve the existing ones due to a method to estimate the upper bound of the derivative of Lyapunov functional without ignoring some useful terms and the introduction of additional terms into the proposed Lyap unov functional, which take into account the range of delay.
Journal ArticleDOI
Further Improvement of Free-Weighting Matrices Technique for Systems With Time-Varying Delay
TL;DR: A novel method is proposed in this note for stability analysis of systems with a time-varying delay by considering the additional useful terms when estimating the upper bound of the derivative of Lyapunov functionals and introducing the new free-weighting matrices.
Journal ArticleDOI
Technical communique: Improved delay-range-dependent stability criteria for linear systems with time-varying delays
TL;DR: A new type of augmented Lyapunov functional is proposed which contains some triple-integral terms and some new stability criteria are derived in terms of linear matrix inequalities without introducing any free-weighting matrices.
Journal ArticleDOI
Technical communique: Stability and robust stability for systems with a time-varying delay
PooGyeon Park,Jeong Wan Ko +1 more
TL;DR: This note uses not only the time-varying-delayed state x(t-h(t)) but also the delay-upper-bounded state x([email protected]?) to exploit all possible information for the relationship among a current state x (t), an exactly delayed state x h, a marginally delayed state X([email-protected]?), and the derivative of the state [email protected]?(t).
Journal ArticleDOI
Delay-dependent stability and stabilization of neutral time-delay systems
TL;DR: In this article, a new delay-dependent stability condition is derived in terms of linear matrix inequality by constructing a new Lyapunov functional and using some integral inequalities without introducing any free-weighting matrices.
References
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Book
Introduction to Functional Differential Equations
TL;DR: The present book builds upon the earlier work of J. Hale, "Theory of Functional Differential Equations" published in 1977 and attempts to maintain the spirit of that book and have retained approximately one-third of the material intact.
Journal ArticleDOI
Delay-dependent robust stabilization of uncertain state-delayed systems
TL;DR: An algorithm involving convex optimization is proposed to design a controller guaranteeing a suboptimal maximal delay such that the system can be stabilized for all admissible uncertainties.
Journal ArticleDOI
A delay-dependent stability criterion for systems with uncertain time-invariant delays
TL;DR: A new delay-dependent robust stability criterion for systems with time-invariant uncertain delays is derived, which is shown by an example less conservative than existing stability criteria.
Proceedings ArticleDOI
History of linear matrix inequalities in control theory
TL;DR: In this article, the authors give a historical view of linear matrix inequalities in control and system theory, and it appears that linear matrices have been involved in some of the major events of control theory.