Stability and  L   ∞  ‐gain analysis for a class of nonlinear positive systems with mixed delays | Zendy

Shen Jun | Zendy; Chen Shun | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

Stability and L ∞ ‐gain analysis for a class of nonlinear positive systems with mixed delays

Author(s) -

Shen Jun,

Chen Shun

Publication year - 2016

Publication title -

international journal of robust and nonlinear control

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.361

H-Index - 106

eISSN - 1099-1239

pISSN - 1049-8923

DOI - 10.1002/rnc.3556

Subject(s) - nonlinear system , class (philosophy) , stability (learning theory) , exponential stability , control theory (sociology) , mathematics , expression (computer science) , function (biology) , positive systems , characterization (materials science) , high gain antenna , computer science , linear system , mathematical analysis , control (management) , physics , quantum mechanics , machine learning , artificial intelligence , optics , evolutionary biology , biology , programming language

Summary This paper addresses the asymptotic stability and L ∞ ‐gain analysis problem for a class of nonlinear positive systems with both unbounded discrete delays and distributed delays. With the assumption that the nonlinear function is strictly increasing, we first give a characterization on the positivity of the nonlinear system. Then, with some mild assumptions on the delays, a necessary and sufficient condition to ensure the asymptotic stability is presented. Moreover, an explicit expression of the L ∞ ‐gain of such nonlinear positive systems is given in terms of the system matrices. Finally, a numerical example is given to illustrate the theoretical results. Copyright © 2016 John Wiley & Sons, Ltd.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research