Robust control of time-delay chaotic systems. (English) Zbl 1026.37071
Summary: Robust control problem of nonlinear time-delay chaotic systems is investigated. For such uncertain systems, we propose adaptive feedback controller and novel nonlinear feedback controller. They are both independent of the time delay and can render the corresponding closed-loop systems globally uniformly ultimately bounded stable. The simulations on controlling logistic system are made and the results show the controllers are feasible.
MSC:
| 37N35 | Dynamical systems in control |
| 93B35 | Sensitivity (robustness) |
| 82C05 | Classical dynamic and nonequilibrium statistical mechanics (general) |
| 37D45 | Strange attractors, chaotic dynamics of systems with hyperbolic behavior |
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