Abstract Another algorithm for chaotification of any given linear time-invariant discrete-time systems is presented. The new chaotification algorithm uses the decentralized control and the continuous sawtooth function, which can generate discrete chaos with an arbitrarily desired amplitude bound. Based on the Marotto theorem, we mathematically prove that the controlled system is chaotic in the sense of Li and Yorke. Finally, a simple example is used to illustrate the effectiveness of the proposed theory and method.
Received: 09 January 2004
Revised: 19 April 2004
Accepted manuscript online:
Wei Rong (魏荣), Wang Xing-Yu (王行愚) Chaotifying a linear time-invariant system by the state feedback controller and sawtooth function 2004 Chinese Physics 13 1210
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