asymptotically stable system
1Magma computer algebra system — Magma Developer(s) Computational Algebra Group, School of Mathematics and Statistics, University of Sydney Stable release 2.17 8 / May 27, 2011 Operating system …
2Asymptotic stability — See also Lyapunov stability for an alternate definition used in dynamical systems. In control theory, a continuous linear time invariant system is asymptotically stable if and only if the system has eigenvalues only with strictly negative real… …
3Lyapunov stability — In mathematics, the notion of Lyapunov stability occurs in the study of dynamical systems. In simple terms, if all solutions of the dynamical system that start out near an equilibrium point x e stay near x e forever, then x e is Lyapunov stable.… …
4Control theory — For control theory in psychology and sociology, see control theory (sociology) and Perceptual Control Theory. The concept of the feedback loop to control the dynamic behavior of the system: this is negative feedback, because the sensed value is… …
5Lyapunov function — In mathematics, Lyapunov functions are functions which can be used to prove the stability of a certain fixed point in a dynamical system or autonomous differential equation. Named after the Russian mathematician Aleksandr Mikhailovich Lyapunov,… …
6Marginal stability — In the theory of dynamical systems, and control theory, a continuous linear time invariant system is marginally stable if and only if the real part of every eigenvalue (or pole) in the system s transfer function is non positive, and all… …
7Poincaré map — In mathematics, particularly in dynamical systems, a first recurrence map or Poincaré map, named after Henri Poincaré, is the intersection of a periodic orbit in the state space of a continuous dynamical system with a certain lower dimensional… …
8stability — /steuh bil i tee/, n., pl. stabilities. 1. the state or quality of being stable. 2. firmness in position. 3. continuance without change; permanence. 4. Chem. resistance or the degree of resistance to chemical change or disintegration. 5.… …
9Krasovskii–LaSalle principle — The Krasovskii–LaSalle principle is a criterion for the asymptotic stability of a (possibly nonlinear) dynamical system. The global Krasovskii–LaSalle principle Given a representation of the system: dot{mathbf{x = f left(mathbf x ight) where… …
10State observer — In control theory, a state observer is a system that models a real system in order to provide an estimate of its internal state, given measurements of the input and output of the real system. It is typically a computer implemented mathematical… …
