Some constructions of Lyapunov function for linear extensions of dynamical systems | Zendy

V. L. Kulik | Zendy; Ewa Tkocz-Piszczek | Zendy

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Some constructions of Lyapunov function for linear extensions of dynamical systems

Author(s) -

V. L. Kulik,

Ewa Tkocz-Piszczek

Publication year - 2011

Publication title -

opuscula mathematica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.481

H-Index - 16

eISSN - 2300-6919

pISSN - 1232-9274

DOI - 10.7494/opmath.2011.31.3.399

Subject(s) - mathematics , lyapunov function , lyapunov exponent , dynamical systems theory , lyapunov equation , sign (mathematics) , function (biology) , lyapunov optimization , linear dynamical system , linear system , dynamical system (definition) , pure mathematics , mathematical analysis , nonlinear system , physics , quantum mechanics , evolutionary biology , biology

In this note we consider some sets of linear extensions of dynamical systems and research regularity by means of the sign-changing Lyapunov function. We examine some constructions of Lyapunov functions for given systems

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