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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 (LTI) 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 wikiPageLength "3991".
- Exponential_stability wikiPageOutDegree "24".
- Exponential_stability wikiPageRevisionID "680391142".
- Exponential_stability wikiPageWikiLink Asymptote.
- Exponential_stability wikiPageWikiLink Asymptotic_stability.
- Exponential_stability wikiPageWikiLink Bounded_function.
- Exponential_stability wikiPageWikiLink Category:Dynamical_systems.
- Exponential_stability wikiPageWikiLink Category:Stability_theory.
- Exponential_stability wikiPageWikiLink Complex_plane.
- Exponential_stability wikiPageWikiLink Control_theory.
- Exponential_stability wikiPageWikiLink Dirac_delta_function.
- Exponential_stability wikiPageWikiLink Dynamical_system.
- Exponential_stability wikiPageWikiLink Dynamical_systems.
- Exponential_stability wikiPageWikiLink Eigenvalue.
- Exponential_stability wikiPageWikiLink Eigenvalues_and_eigenvectors.
- Exponential_stability wikiPageWikiLink Exponential_growth.
- Exponential_stability wikiPageWikiLink Heaviside_step_function.
- Exponential_stability wikiPageWikiLink Impulse_response.
- Exponential_stability wikiPageWikiLink LTI_system_theory.
- Exponential_stability wikiPageWikiLink Lyapunov_stability.
- Exponential_stability wikiPageWikiLink Marginal_stability.
- Exponential_stability wikiPageWikiLink Pole_(complex_analysis).
- Exponential_stability wikiPageWikiLink State-space_representation.
- Exponential_stability wikiPageWikiLink State_space_(controls).
- Exponential_stability wikiPageWikiLink Transfer_function.
- Exponential_stability wikiPageWikiLink Unit_circle.
- Exponential_stability wikiPageWikiLink File:AsymptoticStabilityImpulseScilab.png.
- Exponential_stability wikiPageWikiLinkText "Exponential stability".
- Exponential_stability wikiPageWikiLinkText "asymptotically stable".
- Exponential_stability wikiPageWikiLinkText "exponential stability".
- Exponential_stability wikiPageWikiLinkText "exponentially stable".
- Exponential_stability wikiPageWikiLinkText "stable".
- Exponential_stability hasPhotoCollection Exponential_stability.
- Exponential_stability wikiPageUsesTemplate Template:Reflist.
- Exponential_stability subject Category:Dynamical_systems.
- Exponential_stability subject Category:Stability_theory.
- Exponential_stability type Field.
- Exponential_stability type Mechanic.
- Exponential_stability type Physic.
- 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 (LTI) 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 wasDerivedFrom Exponential_stability?oldid=680391142.
- Exponential_stability depiction AsymptoticStabilityImpulseScilab.png.
- Exponential_stability isPrimaryTopicOf Exponential_stability.