Kybernetika 52 no. 3, 461-477, 2016

On stable cones of polynomials via reduced Routh parameters

Ülo Nurges, Juri Belikov and Igor ArtemchukDOI: 10.14736/kyb-2016-3-0461

Abstract:

A problem of inner convex approximation of a stability domain for continuous-time linear systems is addressed in the paper. A constructive procedure for generating stable cones in the polynomial coefficient space is explained. The main idea is based on a construction of so-called Routh stable line segments (half-lines) starting from a given stable point. These lines (Routh rays) represent edges of the corresponding Routh subcones that form (possibly after truncation) a polyhedral (truncated) Routh cone. An algorithm for approximating a stability domain by the Routh cone is presented.

Keywords:

linear systems, Hurwitz stability, convex approximation

Classification:

93C05, 93D09

paper.pdf

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