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In this study the authors propose a new tool for robust stability analysis. This tool gives D-stability intervals along a given line in the polynomial coefficient space. D-stability means that all the zeros of characteristic polynomials are in a prescribed connected open region and therefore, besides continuous-time systems or discrete-time systems, any systems having such a pole location can be analysed...
An attempt is made to extend the well-known Kharitonov's Theorem, which deals with the Hurwitz property of interval polynomials. The extension is carried out in such a manner that the strict Hurwitz property in the original theorem is weakended so that the imaginary axis is incorporated. As a tool for this, the extension is also made for a classical stability criterion, Mikahilov's Theorem, for which...
An equivalence class, called the T-equivalence class in this study, is introduced for discrete time models of a continuous time system such that any member of this class has the same input-output characteristics when the discrete time interval approaches zero. This concept provides a systematic way of viewing the various discrete time models including those already proposed in the literature.
Kharitonov's Theorem, shown first in a Russian literature only within this decade, gives an exact stability condition for polynomials with perturbed coefficients. This theorem seems to have enormous potentialities in the analysis and design of robust control systems. In this paper, an attempt is made to extend the theorem to cover a class of time-delay systems. The results obtained are applied to...
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