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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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Is There an Equilibrium Point Hypothesis?
Motor Control, 2010The notion of studying internal control variables instead of externally observable parameters is certainly attractive. It is what motivates neurophysiologists to stick their electrodes into various parts of the nervous system. The problem is knowing a control variable when you see one. Recorded neural activity reflects a mixture of outputs representing
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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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On sensitivity of the stability of equilibrium points with respect to the perturbations
, 2021B. Kaur, Shipra Chauhan, Dinesh Kumar
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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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