Stability and Feedback Design of a Class of Time-Delay Systems with Discontinuity: Functional Differential Inclusion-Based Approach

• Zhang Jiangyan

  Department of Engineering and Applied Sciences, Sophia University

• Shen Tielong

  Department of Engineering and Applied Sciences, Sophia University

抄録

To analyze and synthesize time-delay systems with discontinuity, the framework of differential inclusion in the sense of Filippov is extended to functional differential inclusion. Based on the extension, the concept of Filippov solution is introduced for the time-delay systems with discontinuity at first, and then it is shown that both the Lyapunov stability and the LaSalle invariance principle results can be extended to such kind of systems. Moreover, by using the proposed analysis tools, a stabilization feedback design approach is proposed for a class of nonlinear time-delay systems with discontinuity. Simulation results of numerical examples are given to demonstrate the proposed control approaches.

収録刊行物

• 電気学会論文誌Ｃ（電子・情報・システム部門誌）

  電気学会論文誌Ｃ（電子・情報・システム部門誌） 129 (6), 1108-1114, 2009

  一般社団法人 電気学会

キーワード

• time-delay systems
• discontinuity
• functional differential inclusion
• stabilization
• nonlinear systems

詳細情報

• CRID: 1390282679582267904
• NII論文ID: 10024775633
• NII書誌ID: AN10065950
• DOI: 10.1541/ieejeiss.129.1108
• ISSN: 13488155
• ISSN: 03854221
• NDL書誌ID: 10326163
• Web Site: http://id.ndl.go.jp/bib/10326163
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I10326163
• Web Site: http://www.jstage.jst.go.jp/article/ieejeiss/129/6/129_6_1108/_pdf
• 本文言語コード: en
• データソース種別:
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  • NDL
  • Crossref
  • CiNii Articles
  • KAKEN
• 抄録ライセンスフラグ: 使用不可