Overview

This volume contains Hurwitz's seminal paper on stability theorem, and a collection of papers on its historical development. The emphasis, however, is on modern stability theory and its applications in control theory and numerical mathematics. Special attention is given to stability of linear and nonlinear problems, time-dependent systems, discretizations of ordinary and partial differential equations, systems with time delay and multi-dimensional systems. In addition, robust stability, pole placement and problems related to the stability radius are considered.

Full Product Details

Author:   Rolf Jeltsch ,  Mohamed Mansour
Publisher:   Birkhauser Verlag AG
Imprint:   Birkhauser Verlag AG
Edition:   1996 ed.
Volume:   121
Dimensions:   Width: 17.80cm , Height: 1.50cm , Length: 25.40cm
Weight:   1.220kg
ISBN:  

9783764354749

ISBN 10:   3764354747
Pages:   253
Publication Date:   28 August 1996
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Stability theory.- The Hurwitz Matrix and the Computation of Second-Order Information Indices.- A Summary on the Real Stability Radius and Real Perturbation Values.- The Hadamard Factorization of Hurwitz and Schur Stable Polynomials.- On the Cauchy Index of a Real Rational Function and the Index Theory of Pseudo-Lossless Rational Functions.- A Generalization of the Orlando Formula-Symbolic Manipulation Approach.- On Convex Stability Directions for Real Quasipolynomials.- From J.J. Sylvester to Adolf Hurwitz: A Historical Review.- Hurwitz Matrix for Polynomial Matrices.- Two-Dimensional Hurwitz Polynomials.- General Classes of Control-Lyapunov Functions.- Towards the Stability of Fuzzy Control Systems.- Discrete Optimization Using Analog Neural Networks with Discontinuous Dynamics.- Robust Stability.- Multiplier Theory and Operator Square Roots: Application to Robust and Time-Varying Stability.- Adaptive Control of Non-Minimum Phase Systems Subject to Unknown Bounded Disturbances.- On the Robust Stability of Time-Varying Linear Systems.- On the Computation of Stability Profiles.- Robust Stability of Family of Polynomials with 1-Norm-Bounded Parameter Uncertainties.- On the Characterization and Formation of Local Convex Directions for Hurwitz Stability.- Numerics.- Application of Quantifier Elimination to Solotareff’s Approximation Problem.- Stability of Time Discretization, Hurwitz Determinants and Order Stars.- Solving Stability Problems Using Quantifier Elimination.- Stability of Numerical Methods for Solving Differential Equations.- A Fast Algorithm to Compute the Real Structured Stability Radius.- Some Open Problems.- Apendix: Original Article by A. Hurwitz A. Hurwitz.- Über die Bedingungen, unter welchen eine Gleichung nur Wurzeln mit negativen reellen Theilenbesitzt.

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