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In this paper we present an analytical tool that has the promise to provide rather efficient computational solutions to a wide variety of control problems, in which the system under consideration depends on a continuously varying parameter. Notable examples in this category include time-delay and polynomially dependent systems. The approach, which appears to be conceptually appealing and computationally...
In this paper, we study the robust stability of uncertain time-delay systems. We consider uncertain quasi-polynomials whose coefficients may vary in a certain prescribed range. Our goal is to derive necessary and sufficient conditions for such uncertain quasi-polynomials to maintain stability independent of delay parameters. Our primary contributions are frequency-sweeping conditions for interval,...
The purpose of this paper is to establish a link between the structured singular value and the stability analysis of uncertain polynomials. We first give an analytical expression for a generalization of the structured singular value under a certain circumstance and next show how stability problems of uncertain polynomials may be studied in this framework. Our results include a number of small gain...
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