Stability Feeler: A Tool for Analysis of Polytopic Polynomials

DOI Web Site Web Site 3 Citations 11 References
  • Matsuda Tadasuke
    Department of Electronics and Information Science, Faculty of Engineering and Design, Kyoto Institute of Technology
  • Kawabata Keishi
    Department of Electronics and Information Science, Faculty of Engineering and Design, Kyoto Institute of Technology
  • Mori Takehiro
    Department of Electronics and Information Science, Faculty of Engineering and Design, Kyoto Institute of Technology

Bibliographic Information

Other Title
  • 多項式ポリトープ解析のためのStability Feelerの提案
  • タコウシキ ポリトープ カイセキ ノ タメ ノ Stability Feeler ノ テイアン

Search this article

Abstract

Stability analysis of a linear uncertain polynomial system in real parameter space is one of central themes of recent control theory. It is generally very difficult to analyze the stability of such a system because the number of its characteristic polynomials to be analyzed becomes enormous. A parallelotope of polynomials is a typical type of uncertain polynomials. Though a number of analysis methods for such a parallelotope are at our hand, they mainly focus on stability check of given polynomials and hardly give information on how for the certain interested parameter can be extended for stability. To solve this problem, we propose a novel tool for stability analysis called “Stability Feeler". This concept leads to an algorithm which determines D-stability intervals along a given line in the polynomial coefficient space. With the tool, stability problems of parallelotopes can be successfully resolved. Two numerical examples are shown to support this concept.

Journal

Citations (3)*help

See more

References(11)*help

See more

Keywords

Details 詳細情報について

Report a problem

Back to top