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- Exponential_stability abstract "See Lyapunov stability, which gives a definition of asymptotic stability for more general dynamical systems. All exponentially stable systems are also asymptotically stable.In control theory, a continuous linear time-invariant system is exponentially stable if and only if the system has eigenvalues (i.e., the poles of input-to-output systems) with strictly negative real parts. (i.e., in the left half of the complex plane). A discrete-time input-to-output LTI system is exponentially stable if and only if the poles of its transfer function lie strictly within the unit circle centered on the origin of the complex plane. Exponential stability is a form of asymptotic stability. Systems that are not LTI are exponentially stable if their convergence is bounded by exponential decay.".
- Exponential_stability thumbnail AsymptoticStabilityImpulseScilab.png?width=300.
- Exponential_stability wikiPageExternalLink stability.pdf..
- Exponential_stability wikiPageID "1273491".
- Exponential_stability wikiPageRevisionID "573869840".
- Exponential_stability hasPhotoCollection Exponential_stability.
- Exponential_stability subject Category:Dynamical_systems.
- Exponential_stability subject Category:Stability_theory.
- Exponential_stability type Abstraction100002137.
- Exponential_stability type Attribute100024264.
- Exponential_stability type DynamicalSystem106246361.
- Exponential_stability type DynamicalSystems.
- Exponential_stability type PhaseSpace100029114.
- Exponential_stability type Space100028651.
- Exponential_stability comment "See Lyapunov stability, which gives a definition of asymptotic stability for more general dynamical systems. All exponentially stable systems are also asymptotically stable.In control theory, a continuous linear time-invariant system is exponentially stable if and only if the system has eigenvalues (i.e., the poles of input-to-output systems) with strictly negative real parts. (i.e., in the left half of the complex plane).".
- Exponential_stability label "Exponential stability".
- Exponential_stability sameAs m.04p4_z.
- Exponential_stability sameAs Q17011487.
- Exponential_stability sameAs Q17011487.
- Exponential_stability sameAs Exponential_stability.
- Exponential_stability wasDerivedFrom Exponential_stability?oldid=573869840.
- Exponential_stability depiction AsymptoticStabilityImpulseScilab.png.
- Exponential_stability isPrimaryTopicOf Exponential_stability.