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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Journal ArticleDOI
Delay-dependent robust stabilization of uncertain systems with multiple state delays
TL;DR: A new method for achieving robust stabilization is presented for a class of uncertain time-delay systems via linear memoryless state feedback control through linear matrix inequalities.
Journal ArticleDOI
Stability of some linear systems with delays
TL;DR: Asymptotic stability of a class of linear equations with arbitrary discrete and distributed delays is investigated and the approach of deriving various Riccati equations using the direct Lyapunov method is proposed.
Book
Analysis and Synthesis of Time Delay Systems
TL;DR: This book gives emphasis to methods and results which are applicable to analysis and synthesis of industrial control systems with time delays, and is designed for those with knowledge of mathematical methods of control theory.
Journal ArticleDOI
Memoryless H/sup /spl infin// controllers for state delayed systems
TL;DR: The controller is a delay independent stabilizer for the state delayed system, which also reduces the H/sup /spl infin// norm of the closed loop transfer function, from the disturbance to the controlled output, to a prescribed level.
Book ChapterDOI
Absolute Stability of Nonlinear Systems of Automatic Control
TL;DR: In this paper, the problem of absolute stability of an indirect control system with a single nonlinearity was investigated by using a method which differs from the second method of Lyapunov.