A finite-time stable theorem about fractional systems and finite-time synchronizing fractional super chaotic Lorenz systems. (Chinese. English summary) Zbl 1249.93136
Summary: A finite-time stable theorem about fractional systems and finite-time synchronizing fractional chaotic systems are studied in this paper. A finite-time stable theorem is proposed and proved according to the properties of fractional equations. Using this theorem, fractional super chaotic Lorenz systems are synchronized in finite-time. A numerical simulation certifies the effectiveness of the theorem proposed in this paper.
MSC:
| 93D05 | Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory |
| 37D45 | Strange attractors, chaotic dynamics of systems with hyperbolic behavior |
| 93C10 | Nonlinear systems in control theory |
| 26A33 | Fractional derivatives and integrals |
| 34H10 | Chaos control for problems involving ordinary differential equations |
