A study on global stabilization of periodic orbits in discrete-time chaotic systems by using symbolic dynamics

Title:

A study on global stabilization of periodic orbits in discrete-time chaotic systems by using symbolic dynamics

Creator:

Suzuki, Masayasu and Sakamoto, Noboru

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:51665311-1d91-4ce6-83eb-db7a5950ce05
uuid:51665311-1d91-4ce6-83eb-db7a5950ce05

Subject:

symbolic dynamics, chaos control, and global stability

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

In this report, a control method for the stabilization of periodic orbits for a class of one- and two-dimensional discrete-time systems that are topologically conjugate to symbolic dynamical systems is proposed and applied to a population model in an ecosystem and the Smale horseshoe map. A periodic orbit is assigned as a target by giving a sequence in which symbols have periodicity. As a consequence, it is shown that any periodic orbits can be globally stabilized by using arbitrarily small control inputs. This work is a new attempt to systematically design a control system based on symbolic dynamics in the sense that one estimates the magnitude of control inputs and analyzes the Lyapunov stability.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

[4]-19

Source:

Kybernetika | 2015 Volume:51 | Number:1

Harvested from:

CDK

Metadata only:

false