Sentence examples for stabilizing the equilibrium from inspiring English sources
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).
The principle of synchronization is used to globally and exponentially stabilize the equilibrium points of the hyperchaotic system.
Within this neighborhood, the control then acts as a high-gain feedback that stabilizes the equilibrium point.
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.
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 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).
The problem of stabilizing the upright equilibrium of the spherical pendulum is typically solved in two steps: First, a controller is used to swing up the pendulum so that it enters some vicinity of the upright equilibrium, and then a locally stabilizing controller is used.
First, with the aid of properties of the mechanical parameters of two-link planar robots, this paper proves constructively that stable controllers exist for stabilizing the UEP (Upright Equilibrium Point with two links being still in the upright position) of each robot by designing a single output with an adjustable parameter.
Controllers based on angular velocity feedback only, asymptotically stabilize the hanging equilibrium.
