𝔖 Bobbio Scriptorium
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Controlling chaotic and hyperchaotic systems via energy regulation

✍ Scribed by L. Laval; N.K. M’Sirdi

Book ID
104363564
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
315 KB
Volume
15
Category
Article
ISSN
0960-0779

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✦ Synopsis

This paper focuses on a new control approach to steer trajectories of chaotic or hyperchaotic systems towards stable periodic orbits or stationary points of interest. This approach mainly consists in a variable structure control (VSC) that we extend by explicitly considering the system energy as basis for both controller design and system stabilization. In this paper, we present some theoretical results for a class of nonlinear (possibly chaotic or hyperchaotic) systems. Then some capabilities of the proposed approach are illustrated through examples related to a four-dimensional hyperchaotic system.

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