期刊
JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS
卷 7, 期 2, 页码 -出版社
ASME
DOI: 10.1115/1.4005323
关键词
chaos; Lyapunov methods; nonlinear dynamical systems
This paper concerns the problem of stabilization of uncertain fractional-order chaotic systems in finite time. On the basis of fractional Lyapunov stability theory, a robust finite-time fractional controller is introduced to control chaos of fractional-order chaotic systems in the presence of system uncertainties. The finite-time stability of the closed-loop system is analytically proved. An estimation of the convergence time is also given. Some numerical simulations are provided to illustrate the usefulness and applicability of the proposed robust finite-time control approach. It is worth noting that the proposed fractional control method is applicable for stabilizing a broad range of uncertain fractional-order nonlinear systems in a given finite time. [DOI: 10.1115/1.4005323]
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