The book is an outgrowth of the international conference "Centennial Hurwitz on Stability Theory" which was held to honor Adolf Hurwitz, whose arti­ cle on the location of roots of a polynomial was published one hundred years ago.

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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