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2018•Unpublished venueRequires access

Modeling of the Multiply Connected Controlled Dynamical Systems

О. V. Druzhinina, Elena A. Kaledina, Olga N. Masina, В. Н. Щенников, Elena V. Shchennikova

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Abstract

The continuous and hybrid models of the multiply connected dynamical systems are studied on the basis of the stabilization conditions. The algorithms for the numerical solving of the stabilization problems are developed and the results of computer experiments are performed. The main methods of study are the simulation method based on a two-level stabilization scheme, the Lyapunov vector functions method and numerical methods for solving systems of differential equations.

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What this paper is about

The continuous and hybrid models of the multiply connected dynamical systems are studied on the basis of the stabilization conditions. The algorithms for the numerical solving of the stabilization problems are developed and the results of computer experiments are performed. The main methods of study are the simulation method based on a two-level stabilization scheme, the Lyapunov vector functions method and numerical methods for solving systems of differential equations.

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Available abstract

The continuous and hybrid models of the multiply connected dynamical systems are studied on the basis of the stabilization conditions. The algorithms for the numerical solving of the stabilization problems are developed and the results of computer experiments are performed. The main methods of study are the simulation method based on a two-level stabilization scheme, the Lyapunov vector functions method and numerical methods for solving systems of differential equations.

Key concepts: Dynamical systems theory, Lyapunov function, Computer science, Scheme (mathematics), Basis (linear algebra), Differential equation, Numerical analysis, Applied mathematics

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