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In this paper we present a stability analysis approach for polynomially-dependent one-parameter systems. The approach, which appears to be conceptually appealing and computationally efficient and is referred to as an eigenvalue perturbation approach, seeks to characterize the analytical and asymptotic properties of eigenvalues of matrix-valued functions or operators. The essential problem dwells on...
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...
This paper addresses the problem of asymptotic stability of linear time-delay systems with commensurate delays. We study the asymptotic behavior of the critical characteristic zeros of such systems on the imaginary axis. This behavior determines whether the imaginary zeros cross from one half plane into another, and hence plays a critical role in determining the stability of a time-delay system. We...
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