Stability analysis and estimate of the region of attraction of a human respiratory model: [republished article] | Zendy

Raúl VillafuerteSegura | Zendy; Sabine Mondié | Zendy; SilviuIulian Niculescu | Zendy

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Stability analysis and estimate of the region of attraction of a human respiratory model: [republished article]

Author(s) -

Raúl VillafuerteSegura,

Sabine Mondié,

SilviuIulian Niculescu

Publication year - 2010

Publication title -

ima journal of mathematical control and information

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.385

H-Index - 37

eISSN - 1471-6887

pISSN - 0265-0754

DOI - 10.1093/imamci/dnq033

Subject(s) - stability (learning theory) , mathematics , exponential stability , constructive , state space , term (time) , lyapunov function , type (biology) , differential equation , control theory (sociology) , mathematical analysis , computer science , control (management) , statistics , nonlinear system , physics , biology , artificial intelligence , ecology , process (computing) , quantum mechanics , machine learning , operating system

In this paper, we complete the stability analysis of various human respiratory non-linear time delay models introduced in Vielle & Chauvet (1998, Delay equation analysis of human respiratory stability. Math. Biosci., 152, 105–122), Kollár & Turi (2004, Numerical stability analysis in respiratory control system models. Conference on Differential Equations and Applications in Mathematical Biology, N...

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