ON STABLE CONES OF POLYNOMIALS VIA REDUCED ROUTH PARAMETERS

被引：1
|
作者：
Nurges, Ulo [1 ]
Belikov, Juri [1 ]
Artemchuk, Igor [2 ]
机构：
[1] Tallinn Univ Technol, Inst Cybernet, Akad Tee 21, EE-12618 Tallinn, Estonia
[2] Tallinn Univ Technol, Dept Comp Control, Ehitajate Tee 5, EE-19086 Tallinn, Estonia
来源：
KYBERNETIKA | 2016年 / 52卷 / 03期
关键词：
linear systems; Hurwitz stability; convex approximation; STABILITY CONDITIONS; POLYTOPES; EQUATIONS;
D O I：
10.14736/kyb-2016-3-0461
中图分类号：
TP3 [计算技术、计算机技术];
学科分类号：
0812 ;
摘要：
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.
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页码：461 / 477
页数：17
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