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Control and synchronization of chaos in biological systems via backsteping design. (English) Zbl 1237.93061

Summary: Recursive and adaptive backstepping nonlinear controllers are proposed to, respectively, control and synchronize the biological system. The designed recursive nonlinear backstepping controller is capable of stabilizing the biological system at any position as well as controlling it to track any trajectory that is a smooth function of time. The designed adaptive nonlinear controller globally synchronizes two identical biological systems evolving from different initial conditions. Numerical simulations are given to validate the effectiveness of the proposed controllers and show the robustness against noise.

MSC:

93B51 Design techniques (robust design, computer-aided design, etc.)
93C10 Nonlinear systems in control theory
92B05 General biology and biomathematics
34H10 Chaos control for problems involving ordinary differential equations
93C40 Adaptive control/observation systems
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