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Robust stability of perturbed systems with time delays

✍ Scribed by B.Ross Barmish; Zhicheng Shi

Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
782 KB
Volume
25
Category
Article
ISSN
0005-1098

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✦ Synopsis

A new technique provides robust stability analysis of delay systems with parameter uncertainty.

Key Word~--Robustness; stability; delays; polynomials. ~mMotivated by dynamical system considerations, a number of new results on robust stability of perturbed polynomials have been recently obtained. In the literature under consideration, the perturbations are known only within given bounds and enter affine linearly into the polynomial coefficients. In this paper, this formulation is expanded to include time delays. Under a properness assumption, a necessary and sufficient condition for robust stability is developed. An example is given to illustrate application of the main result.

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