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The principle of synchronization is used to globally and exponentially stabilize the equilibrium points of the hyperchaotic system.
In order to stabilize the equilibrium solutions of the systems, at first, we reduce the PDEs to discrete-time systems using the method of characteristics.
In order to eliminate stick slip vibrations for mechanical motion systems, a state-feedback control design is presented to stabilize the equilibrium.
The aim of this work is to show that the feedback controller of the same form as in Phung (2016) can locally exponentially stabilize the equilibrium solutions to Fisher's equation in L2 0,1).
Under these conditions, hybrids may mediate the coexistence and stabilize the equilibrium between co-occurring cytotypes (Felber and Bever, 1997).
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Within this neighborhood, the control then acts as a high-gain feedback that stabilizes the equilibrium point.
Eigensolution of the stiffness matrix extended on geometrical stiffness matrix allow to identify if the self -stress stabilizes the equilibrium of the structure – if the mechanisms are infinitesimal or finite.
The aim of this work is to design an explicit finite dimensional boundary feedback controller for locally exponentially stabilizing the equilibrium solutions to Fisher's equation in both L2 0,1) and H1 0,1).
Controllers based on angular velocity feedback only, asymptotically stabilize the hanging equilibrium.
Moreover, less conservatism impulsive controller will be designed to stabilize the zero equilibrium point.
Mathematically, we should stabilize the positive equilibrium and control the Hopf bifurcation, and we will consider this in our work in the near future.
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