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Robust Stability Conditions for Large-Scale Interconnected Systems with Structured and Unstructured Uncertainties

โœ Scribed by Hansheng Wu; Koichi Mizukami; Suyu Zhang

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
163 KB
Volume
230
Category
Article
ISSN
0022-247X

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โœฆ Synopsis

The paper is mainly concerned with the problem of decentralized robust stability of large-scale interconnected systems with structured and unstructured uncertainties. A simple method is presented whereby some sufficient conditions are derived so that asymptotic stability of large-scale interconnected systems can be guaranteed in the presence of uncertain perturbations. The method is also extended to large-scale discrete-time systems and the corresponding robust stability conditions are established for uncertain large-scale discrete-time systems. Finally, two numerical examples are given to demonstrate that our robust stability conditions are less conservative than those reported in the control literature.

๐Ÿ“œ SIMILAR VOLUMES

Necessary and sufficient conditions for
Necessary and sufficient conditions for robust stability of discrete systems with coefficients depending continuously on two interval parameters
โœ Ezra Zeheb ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 376 KB

Al~a~et--Let a real polynomial in a complex variable, whose coefficients are any given continuous functions of two real interval parameters, be given. Necessary and sufficient conditions are derived for the polynomial to have all its zeros outside (or inside) the unit circle of the complex variable