Sufficient algebraic conditions for stability of cones of polynomials

✍ Scribed by B. Aguirre; C. Ibarra; R. Suárez

• Publisher: Elsevier Science
• Year: 2002
• Tongue: English
• Weight: 124 KB
• Volume: 46
• Category: Article
• ISSN: 0167-6911
• DOI: 10.1016/s0167-6911(02)00131-7

✦ Synopsis

In this paper a su cient condition for a cone of polynomials to be Hurwitz is established. Such condition is a matrix inequality, which gives a simple algebraic test for the stability of rays of polynomials. As an application to stable open-loop systems, a cone of gains c such that the function u = -kc T x is a stabilizing control feedback for all k ¿ 0 is shown to exist.