Positive Descriptor Time-varying Discrete-time Linear Systems and Their Asymptotic Stability | Zendy

Tadeusz Kaczorek | Zendy

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Positive Descriptor Time-varying Discrete-time Linear Systems and Their Asymptotic Stability

Author(s) -

Tadeusz Kaczorek

Publication year - 2015

Publication title -

transnav the international journal on marine navigation and safety of sea transportation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.253

H-Index - 5

eISSN - 2083-6481

pISSN - 2083-6473

DOI - 10.12716/1001.09.01.10

Subject(s) - stability (learning theory) , mathematics , discrete time and continuous time , control theory (sociology) , exponential stability , computer science , statistics , physics , nonlinear system , artificial intelligence , machine learning , quantum mechanics , control (management)

The positivity and asymptotic stability of the descriptor time-varying discrete-time linear systems are addressed. The Weierstrass-Kronecker theorem on the decomposition of the regular pencil is extended to the time-varying discrete-time descriptor linear systems. Using the extension necessary and sufficient conditions for the positivity of the systems are established. Sufficient conditions for asymptotic stability of the positive systems are presented. The effectiveness of the tests is demonstrated on the example.

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