Open AccessBook
Stability of Time-Delay Systems
TLDR
Preface, Notations 1.Introduction to Time-Delay Systems I.Robust Stability Analysis II.Input-output stability A.LMI and Quadratic Integral Inequalities Bibliography IndexAbstract:
Preface, Notations 1.Introduction to Time-Delay Systems I.Frequency-Domain Approach 2.Systems with Commensurate Delays 3.Systems withIncommensurate Delays 4.Robust Stability Analysis II.Time Domain Approach 5.Systems with Single Delay 6.Robust Stability Analysis 7.Systems with Multiple and Distributed Delays III.Input-Output Approach 8.Input-output stability A.Matrix Facts B.LMI and Quadratic Integral Inequalities Bibliography Indexread more
Citations
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Journal ArticleDOI
A Survey of Recent Results in Networked Control Systems
TL;DR: This work reviews several recent results on estimation, analysis, and controller synthesis for NCSs, and addresses channel limitations in terms of packet-rates, sampling, network delay, and packet dropouts.
Journal ArticleDOI
Reciprocally convex approach to stability of systems with time-varying delays
TL;DR: This paper suggests the lower bound lemma for such a combination, which achieves performance behavior identical to approaches based on the integral inequality lemma but with much less decision variables, comparable to thosebased on the Jensen inequalityLemma.
Journal ArticleDOI
Wirtinger-based integral inequality: Application to time-delay systems
TL;DR: An alternative inequality based on the Fourier Theory, more precisely on the Wirtinger inequalities is proposed and it is shown that this resulting inequality encompasses the Jensen one and also leads to tractable LMI conditions.
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.
Journal ArticleDOI
Technical Communique: Delay-dependent criteria for robust stability of time-varying delay systems
TL;DR: Some new delay-dependent stability criteria are devised by taking the relationship between the terms in the Leibniz-Newton formula into account, which are less conservative than existing ones.
References
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Direct method for TDS stability analysis
K. Walton,J.E. Marshall +1 more
TL;DR: In this paper, a direct approach to the analysis of systems with single, or commensurate delays is presented, and compared with other recently proposed methods, and the finite polynomials arising in this direct method are shown to have useful sensitivity properties.
Journal ArticleDOI
A further refinement of discretized Lyapunov functional method for the stability of time-delay systems
TL;DR: In this paper, the discretized Lyapunov functional method for the stability problem of time-delay systems is further refined using a combination of integral inequality and variable elimination technique.
Journal ArticleDOI
Robust stability of delay dependence for linear uncertain systems
Te-Jen Su,C.-G. Huang +1 more
TL;DR: In this paper, a sufficient condition for the stability of linear uncertain time-delay systems is presented, which can include information on the size of the delay, and therefore can be a delay-dependent stability condition.