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Matrix diagonal stability in systems and computation/ Eugenius Kaszkurewicz, Amit Bhaya.

By: Kaszkurewicz, EugeniusContributor(s): Bhaya, AmitMaterial type: Text

TextPublication details: Boston : Birkhäuser, c2000Description: xiv, 267 p. : ill. ; 24 cmISBN: 0817640886 Subject(s): Differentiable dynamical systems | Matrices | StabilityDDC classification: 515.352

Contents:

Diagonally Stable Structures in Systems and Computation Robust Stability of a Mechanical System The LotkaVolterra Ecosystem Model Convergence of Asynchronous Computations Global Stability of Neural Networks Variable Structure Systems Existence of DiagonalType Liapunov Functions Notes and References Notes and References Summary of Liapunov Stability Theory Convergence of Asynchronous Iterative Methods A Mathematical Model for Asynchronous BlockIterations Convergence Conditions for the Asynchronous Case Convergence Conditions for the Synchronous Case Asynchronous Iterations to Solve Almost Linear Equations Parallel Asynchronous Team Algorithms Matrix Diagonal and DStability Basic Notation and Terminology Basic Results on Hurwitz Diagonal and DStability Special Classes of Hurwitz Diagonally Stable Matrices Similarity for Hurwitz Diagonally Stable Matrices Persistence of Diagonal Stability under Perturbations Basic Results on Schur Diagonal and DStability A Matrix Polytopic View of Schur Diagonal and DStability Special Classes of Schur Diagonally Stable Matrices Schur Diagonal and DStability for TwobyTwo Matrices Nonnegative Matrices Qualitatively Schur Stable Matrices Testing for Diagonal and DStability Notes and References Summary of the Theory of the Liapunov Equation Mathematical Models Admitting DiagonalType Liapunov Functions ContinuousTime StateSpace Models and Stability Results StateSpace Realization Procedures DiscreteTime StateSpace Models and Stability Results DiscreteTime Interval Systems Models for Asynchronous Systems DiscreteTime Systems with Delays Neural Networks Circuits and Systems A Global Stability Result Refinements of the Global Stability Result Persistence of Global Asymptotic Stability DiscreteTime Neural Networks Passive RLC Circuits Digital Filters in StateSpace Description TwoDimensional 2D Dynamical Systems Trophic Chains and Communities with Vertical Structure Notes and References Interconnected Systems Stability and Stabilization Absolute Stability of Interconnected Systems Linearly Interconnected Lure Systems Stabilization by Linear Feedback Decentralized PowerFrequency Control of Power Systems Notes and References

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Item type	Current library	Call number	Status	Date due	Barcode	Item holds
General Books	Central Library, Sikkim University General Book Section	515.352 KAS/M (Browse shelf(Opens below))	Available		P19659

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Includes bibliographical references (p. [232]-256) and index.

Diagonally Stable Structures in Systems and Computation

Robust Stability of a Mechanical System

The LotkaVolterra Ecosystem Model

Convergence of Asynchronous Computations

Global Stability of Neural Networks

Variable Structure Systems

Existence of DiagonalType Liapunov Functions

Notes and References

Notes and References

Summary of Liapunov Stability Theory

Convergence of Asynchronous Iterative Methods

A Mathematical Model for Asynchronous BlockIterations

Convergence Conditions for the Asynchronous Case

Convergence Conditions for the Synchronous Case

Asynchronous Iterations to Solve Almost Linear Equations

Parallel Asynchronous Team Algorithms

Matrix Diagonal and DStability

Basic Notation and Terminology

Basic Results on Hurwitz Diagonal and DStability

Special Classes of Hurwitz Diagonally Stable Matrices

Similarity for Hurwitz Diagonally Stable Matrices

Persistence of Diagonal Stability under Perturbations

Basic Results on Schur Diagonal and DStability

A Matrix Polytopic View of Schur Diagonal and DStability

Special Classes of Schur Diagonally Stable Matrices

Schur Diagonal and DStability for TwobyTwo Matrices

Nonnegative Matrices

Qualitatively Schur Stable Matrices

Testing for Diagonal and DStability

Notes and References

Summary of the Theory of the Liapunov Equation

Mathematical Models Admitting DiagonalType Liapunov Functions

ContinuousTime StateSpace Models and Stability Results

StateSpace Realization Procedures

DiscreteTime StateSpace Models and Stability Results

DiscreteTime Interval Systems

Models for Asynchronous Systems

DiscreteTime Systems with Delays

Neural Networks Circuits and Systems

A Global Stability Result

Refinements of the Global Stability Result

Persistence of Global Asymptotic Stability

DiscreteTime Neural Networks

Passive RLC Circuits

Digital Filters in StateSpace Description

TwoDimensional 2D Dynamical Systems

Trophic Chains and Communities with Vertical Structure

Notes and References

Interconnected Systems Stability and Stabilization

Absolute Stability of Interconnected Systems

Linearly Interconnected Lure Systems

Stabilization by Linear Feedback

Decentralized PowerFrequency Control of Power Systems

Notes and References

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