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- Title
CHAOTIFYING DISCONTINUOUS DYNAMICAL SYSTEMS VIA TIME-DELAY FEEDBACK ALGORITHM.
- Authors
Danca, Marius-F.
- Abstract
In this paper the anti-control technique of chaos to systems continuous with respect to the state variable using a time-delay feedback technique introduced by Wang, Chen and Yu, is adapted to a class of dynamical systems discontinuous with respect to the state variable. The considered discontinuous initial value problem is transformed into a differential inclusion using the Filippov regularization. Then, certain results on existence and uniqueness of solutions to differential inclusions are used to define our class of discontinuous dynamical systems. Afterwards, introducing an adequate concept of derivative for the considered discontinuous functions, we show that the algorithm for continuous dynamical systems can be adapted to our class of discontinuous problems. Three examples are given.
- Subjects
CHAOS theory; FEEDBACK control system dynamics; RANDOM dynamical systems; DISCONTINUOUS functions; MATHEMATICAL functions; DIFFERENTIAL equations
- Publication
International Journal of Bifurcation & Chaos in Applied Sciences & Engineering, 2004, Vol 14, Issue 7, p2321
- ISSN
0218-1274
- Publication type
Article
- DOI
10.1142/S0218127404010801