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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 Index
Abstract
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 Index

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Citations
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Journal ArticleDOI

A generalized descriptor-system robust H∞ control of autonomous microgrids to improve small and large signal stability considering communication delays and load nonlinearities

TL;DR: In this paper, a descriptor system H∞ robust controller is designed based on a closed-loop representation of microgrid either with H ∞ or DRSM controller for set point tracking, disturbance rejection and improving performance of micro-grid for small/large-signal disturbances and nonlinear loads.
Journal ArticleDOI

Robust Η/ spl alpha/ stabilisation of networked control systems with packet analyser [Brief Paper]

TL;DR: In this article, the authors investigate the problem of robust ℋ∞ stabilisation for a class of networked control systems (NCSs) with both network-induced delay and packet dropout.

Robust decentralized PI based LFC design for time-delay power systems

TL;DR: In this article, two robust decentralised proportional integral (PI) control designs are proposed for load frequency control (LFC) with communication delays, which are suitable for LFC applications that usually employ PI control.
Journal ArticleDOI

Brief paper: On Liapunov-Krasovskii functionals under Carathéodory conditions

P. Pepe
- 01 Apr 2007 - 
TL;DR: A new Liapunov-Krasovskii theorem for studying the input-to-state stability of time-invariant neutral functional differential equations with linear difference operator is applied, and an example taken from the literature, concerning transmission lines, is reported, showing the effectiveness of the methodology.
Journal ArticleDOI

Exponential Stability of Nonlinear Systems With Delayed Impulses and Applications

TL;DR: It is shown that, under some conditions, the impulsive synchronization of chaotic systems can be achieved via the input delays in impulses, and design some impulsive controllers that are formalized in terms of linear matrix inequality and ADT-like conditions.
References
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Book

The Nature of Statistical Learning Theory

TL;DR: Setting of the learning problem consistency of learning processes bounds on the rate of convergence ofLearning processes controlling the generalization ability of learning process constructing learning algorithms what is important in learning theory?
Book

Computers and Intractability: A Guide to the Theory of NP-Completeness

TL;DR: The second edition of a quarterly column as discussed by the authors provides a continuing update to the list of problems (NP-complete and harder) presented by M. R. Garey and myself in our book "Computers and Intractability: A Guide to the Theory of NP-Completeness,” W. H. Freeman & Co., San Francisco, 1979.
Book

Matrix computations

Gene H. Golub
Book

Matrix Analysis

TL;DR: In this article, the authors present results of both classic and recent matrix analyses using canonical forms as a unifying theme, and demonstrate their importance in a variety of applications, such as linear algebra and matrix theory.