Stability Analysis of Linear Uncertain Systems via Checking Positivity of Forms on Simplices

2010/03/16 by Xiaorong Hou, Hou, Xiaorong, Junwei Shao +1
Computer Science · Engineering · Mathematics · #34D10 #34D20 #Dynamical Systems (math.DS) #FOS: Computer and information sciences #FOS: Mathematics #Numerical methods for differential equations #Polynomial and algebraic computation #Stability and Control of Uncertain Systems #Symbolic Computation (cs.SC) #cs.SC #math.DS #msc:34D10 #msc:34D20

paper · pdf · doi:10.48550/arxiv.1003.3181

8 pages.

arxiv created 2010/03/16 · openalex publication_date 2010/03/16 · arxiv updated 2010/03/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we mainly study the robust stability of linear continuous systems with parameter uncertainties, a more general kind of uncertainties for system matrices is considered, i.e., entries of system matrices are rational functions of uncertain parameters which are varying in intervals. we present a method which can check the robust Hurwitz stability of such uncertain systems in finite steps. Examples show the efficiency of our approach.

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