Control and Synchronization of Chaos in Biological Systems Via Backsteping Design

In this study, recursive and adaptive backstepping nonlinear controllers are proposed to, respec- tively , control and synchronize the biological system. The designed recursive nonlinear backstepping con- troller 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.

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