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Sliding mode control of uncertain unified chaotic fractional-order new Lorenz-like system. (English) Zbl 1268.34114

Summary: A sliding mode control law is designed to control chaos in a class of new fractional-order Lorenz-like chaotic systems. By using the sliding mode control method, the states of the fractional-order system are stabilized, even if the system with uncertainty is in the presence of an external disturbance. The stability of the corresponding equilibria is also argued similarly to its integer-order counterpart. Next, the chaotic behaviors in unified fractional-order system are numerically investigated.

MSC:

34H10 Chaos control for problems involving ordinary differential equations
34D20 Stability of solutions to ordinary differential equations
34A08 Fractional ordinary differential equations
34A34 Nonlinear ordinary differential equations and systems
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