Necessary and sufficient conditions for robust stability of discrete systems with coefficients depending continuously on two interval parameters

✍ Scribed by Ezra Zeheb

• Publisher: Elsevier Science
• Year: 1993
• Tongue: English
• Weight: 376 KB
• Volume: 29
• Category: Article
• ISSN: 0005-1098
• DOI: 10.1016/0005-1098(93)90189-z

✦ Synopsis

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 plane.

In a multi-polynomial dependence of the coefficients on parameters, the conditions involve, in addition to a finite number of algebraic steps, only resolving single variable fixed coefficients real polynomials.