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Titlebook: Stability and Control of Time-delay Systems; L. Dugard,E. I. Verriest Book 1998 Springer-Verlag London 1998 control.control theory.nonline

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Book 1998 the latest trends and new results in this field, with the aim of presenting methods covering a large range of techniques. Particular emphasis is placed on methods that can be directly applied to specific problems. The resulting book is one that will be of value to both researchers and practitioners.
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Convex directions for stable polynomials and quasipolynomials: A survey of recent results,sents a number of analytic criteria ensuring Hurwitz and Schur stability of segments of polynomials. Convex directions are characterized in terms of root loci and it is shown that these root loci behave differently in the real and the complex case. The convex direction problem for sets of stable qua
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Delay-independent stability of linear neutral systems: A riccati equation approach,e. The delay is assumed unknown, but constant. . conditions for . asymptotic stability are given in terms of the existence of symmetric and positive definite solutions of a . Riccati algebraic matrix equation coupled with a . Lyapunov equation.
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Numerics of the stability exponent and eigenvalue abscissas of a matrix delay system,g the endpoint values of the solution to a functional equation occurring in the Lyapunov theory of delay equations. The question of existence of the solution to this functional equation is examined in more detail than in the previous delay systems literature. Numerical examples are given, including
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Moving averages for periodic delay differential and difference equations,lly, we prove formal averaging theorems for both types of systems. This work is based in part on fundamental work in the averaging of delay systems performed in the 1960‘s by Halanay[11, 12], Hale[13], and Medvedev[23]. The analysis and theorems presented here differ from the earlier works in that o
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On rational stabilizing controllers for interval delay systems,r the class of systems composed of a delay element .. with interval (finite or infinite) uncertainty in ., followed by a plant characterized by a rational transfer function. Explicit conditions for the existence of such controllers, are given. Also, a computationally tractable design method, which e
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