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Stability of an Equilibrium Point
2013Stabilizing a system in a neighborhood of a steady state is one of the first goals of Control Theory. For this purpose, we cast a glow in § 4.2 on the notions of stability and of asymptotic stability of an equilibrium point for general dynamical systems as discussed in § 2.4. The case of linear dynamical systems is treated in § 4.3.
Brigitte d’Andréa-Novel +1 more
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On points and lines of equilibrium
1998Abstract 112.] IF at any point of the electric field the resultant force is zero, the point is called a Point of equilibrium. If every point on a certain line is a point of equilibrium, the line is called a Line of equilibrium.
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Stability of Equilibrium Points
2000Let us consider a physical system whose states x are described by an evolution differential system $$\frac{{dx}}{{dt}}$$ = X(x). The fixed points of the flow of the vector field X, i.e., the zeros of X, are the equilibrium points of the system.
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Equilibrium points and pareto points in problems with random factors
USSR Computational Mathematics and Mathematical Physics, 1981Abstract THE CONCEPTS of equilibrium points and Pareto points are extended to decision-making problems containing random factors. Tha approach is based on the use of the idea of a relation.
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2016
This chapter summarizes the modern theory of fixed point and equilibrium. Based on the concept of ɛ-approximate minimum, Ekeland variational principle is established first, along with Caristi fixed point theorem, and Nadler contraction theorem for set-valued maps.
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This chapter summarizes the modern theory of fixed point and equilibrium. Based on the concept of ɛ-approximate minimum, Ekeland variational principle is established first, along with Caristi fixed point theorem, and Nadler contraction theorem for set-valued maps.
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Generating grid chaotic sea from system without equilibrium point
Communications in Nonlinear Science and Numerical Simulation, 2022Houzhen Li +2 more
exaly
Abstract The equilibrium-point (EP) hypothesis assumes that the neural control of a muscle is adequately described as a change in the stretch reflex threshold (λ) leading to a shift of the EP—a combination of muscle length and force when it is in equilibrium with the external load.
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A proximal point method for quasi-equilibrium problems in Hilbert spaces
Optimization, 2022Pedro Jorge S Santos +1 more
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