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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Proceedings ArticleDOI
On a hyperbolic PDE describing the forward evolution of a class of randomly alternating systems
TL;DR: For a class of randomly switched linear systems a transition functional is introduced in this paper, and it is shown that the expectation of this function at time t satisfies a hyperbolic partial differential equation (PDE), which plays a similar role as the backward Kolmogorov equation for diffusions.
Proceedings ArticleDOI
Minimum sensitivity implementations for multi-mode systems
TL;DR: In this paper, the design and implementation of multimode systems under finite-precision restrictions are addressed and the main design problems are posed in a geometric framework, and the geometric theory is applied to switched systems and piecewise linear systems and to the general time-varying case.
Proceedings ArticleDOI
Optimal control for maximal accuracy with an arbitrary control space metric
Erik I. Verriest,W.S. Gray +1 more
TL;DR: In this article, the authors extended the finite dimensional theory of minimal sensitivity design to infinite dimensions and solved the discrete time high accuracy control problem for a single input system with fixed bound on the relative error of the control.
Proceedings ArticleDOI
On robust stability of time-delay systems with block-diagonal uncertainty
Qing-Long Han,Keqin Gu +1 more
TL;DR: A new stability criterion is derived using the refined discretized Lyapunov functional method in the form of a linear matrix inequality to significantly improve the estimate of the stability limit over some existing results in the literature.