Stability of NonNegative Lur'e Systems | Zendy

Adam Bill | Zendy; Chris Guiver | Zendy; Hartmut Logemann | Zendy; Stuart Townley | Zendy

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Stability of NonNegative Lur'e Systems

Author(s) -

Adam Bill,

Chris Guiver,

Hartmut Logemann,

Stuart Townley

Publication year - 2016

Publication title -

siam journal on control and optimization

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.486

H-Index - 116

eISSN - 1095-7138

pISSN - 0363-0129

DOI - 10.1137/140994599

Subject(s) - trichotomy (philosophy) , mathematics , exponential stability , stability (learning theory) , instability , control theory (sociology) , nonlinear system , computer science , philosophy , linguistics , physics , quantum mechanics , machine learning , mechanics , control (management) , artificial intelligence

A stability/instability trichotomy for a class of nonnegative continuous-time Lur’e systems is derived. Asymptotic, exponential, and input-to-state stability concepts are considered. The presented trichotomy rests on Perron–Frobenius theory, absolute stability theory, and recent input-to-state stability results for Lur’e systems. Applications of the results derived arise in various fields, including density-dependent population dynamics, and two examples are discussed in detail

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