Journal ArticleDOI
Delay-dependent stabilization of linear systems with time-varying state and input delays
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TLDR
A new integral inequality for quadratic terms is first established and used to obtain a new state- and input-delay-dependent criterion that ensures the stability of the closed-loop system with a memoryless state feedback controller.About:
This article is published in Automatica.The article was published on 2005-08-01. It has received 525 citations till now. The article focuses on the topics: Stability criterion & Linear system.read more
Citations
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Journal ArticleDOI
A new delay system approach to network-based control
TL;DR: A sampled-data networked control system with simultaneous consideration of network induced delays, data packet dropouts and measurement quantization is modeled as a nonlinear time-delay system with two successive delay components in the state and the problem of network-based H"~ control is solved accordingly.
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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.
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Free-Matrix-Based Integral Inequality for Stability Analysis of Systems With Time-Varying Delay
TL;DR: A new integral inequality is presented, called a free-matrix-based integral inequality, that further reduces the conservativeness in those methods used to derive delay-dependent criteria for the stability analysis of time-varying-delay systems.
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Reliable Fuzzy Control for Active Suspension Systems With Actuator Delay and Fault
TL;DR: The Takagi-Sugeno (T-S) fuzzy model approach is adapted with the consideration of the sprung and the unsprung mass variation, the actuator delay and fault, and other suspension performances to design a reliable fuzzy H∞ controller for active suspension systems with actuatordelay and fault.
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A survey of linear matrix inequality techniques in stability analysis of delay systems
Shengyuan Xu,James Lam +1 more
TL;DR: The purpose of this article is to survey the recent results developed to analyse the asymptotic stability of time-delay systems and give special emphases to the issues of conservatism of the results and computational complexity.
References
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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
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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
Delay Differential Equations: With Applications in Population Dynamics
TL;DR: Delay Differential Equations as mentioned in this paper are a generalization of delay differential equations and have been used in a variety of applications in population dynamics, such as global stability for single species models and multi-species models.
Book
Delay Effects on Stability: A Robust Control Approach
TL;DR: In this article, Liapunov's second method and LMIs are used for closed-loop stability sets and stability regions in a closed loop with discrete delays and LTIs.
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Output feedback H∞ control of systems with parameter uncertainty
TL;DR: In this paper, the authors dealt with H ∞ control problem for systems with parametric uncertainty in all matrices of the system and output equations and derived necessary and sufficient conditions for quadratic stability with disturbance attenuation.