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asymptotically stable system

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  • Magma 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 …   Wikipedia

  • Asymptotic 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… …   Wikipedia

  • Lyapunov 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.… …   Wikipedia

  • Control 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… …   Wikipedia

  • Lyapunov 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,… …   Wikipedia

  • Marginal 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… …   Wikipedia

  • Poincaré 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… …   Wikipedia

  • stability — /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.… …   Universalium

  • Krasovskii–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… …   Wikipedia

  • State 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… …   Wikipedia

  • Nonlinear control — is the area of control engineering specifically involved with systems that are nonlinear, time variant, or both. Many well established analysis and design techniques exist for LTI systems (e.g., root locus, Bode plot, Nyquist criterion, state… …   Wikipedia

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