On a method of evaluation of attraction domain for fixed point of nonlinear point mapping of arbitrary dimension

DOI10.3103/S1066369X16120021zbMath1369.39007MaRDI QIDQ2363390

V. I. Goryunov, O. G. Antonovskaya

Publication date: 19 July 2017

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

discrete dynamic systemLyapunov functions methodmacro-structure of state spacemethod of attraction domain evaluation

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Stability theory for difference equations (39A30)

Related Items (3)

Application of quadratic Lyapunov functions to investigation of stability of systems with delay ⋮ On the study of robust exponential stability of continuous- and discrete-time systems ⋮ On the preservation of a quadratic Lyapunov function of a linear differential autonomous system under constant perturbations of the coefficients

Cites Work

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• On the construction of a quadratic Lyapunov function with given properties
• Fundamentals of non-linear control systems with pulse-frequency and pulse-width modulation

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