Stability Analysis of the Characteristic Polynomials whose Coefficients are Polynomials of Interval Parameters Using Monotonicity

• KAWAMURA Takeshi

  Department of Electrical and Electronic Engineering, Kitami Institute of Technology

• SHIMA Masasuke

  Division of Systems and Information Engineering, Graduate School of Engineering, Hokkaido University

抄録

In this paper, we analyze the stability of the characteristic polynomials whose coefficients are polynomials of interval parameters via monotonicity methods. Our stability conditions are based on Frazer-Duncan's theorem and all conditions can be checked using only endpoint values of interval parameters. These stability conditions are necessary and sufficient under the monotonicity assumptions.<br>When the monotonicity conditions do not hold on the whole parameter region, we present an interval division method and a transformation algorithm in order to apply the monotonicity conditions. Then, our stability analysis methods can be applied to all characteristic polynomials whose coefficients are polynomials of interval parameters.

収録刊行物

• 計測自動制御学会論文集

  計測自動制御学会論文集 38 (6), 557-566, 2002

  公益社団法人 計測自動制御学会

キーワード

• stability analysis
• interval parameters
• monotonicity
• Frazer-Duncan's theorem

詳細情報

• CRID: 1390282679479167744
• NII論文ID: 10008831503
• NII論文ID: 130003791801
• NII書誌ID: AN00072392
• DOI: 10.9746/sicetr1965.38.557
• ISSN: 18838189
• ISSN: 04534654
• NDL書誌ID: 6199662
• Web Site: https://kitami-it.repo.nii.ac.jp/records/8274
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I6199662
• Web Site: https://www.jstage.jst.go.jp/article/sicetr1965/38/6/38_6_557/_pdf
• 本文言語コード: en
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