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Mathematical Problems in Engineering
Article . 2012 . Peer-reviewed
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Mathematical Problems in Engineering
Article
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Article . 2012
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Lyapunov Stability of Quasiperiodic Systems

Lyapunov stability of quasiperiodic systems
Authors: Redkar, Sangram(Department of Engineering Technology, Arizona State University);

Lyapunov Stability of Quasiperiodic Systems

Abstract

We present some observations on the stability and reducibility of quasiperiodic systems. In a quasiperiodic system, the periodicity of parametric excitation is incommensurate with the periodicity of certain terms multiplying the state vector. We present a Lyapunov‐type approach and the Lyapunov‐Floquet (L‐F) transformation to derive the stability conditions. This approach can be utilized to investigate the robustness, stability margin, and design controller for the system.

Related Organizations
Keywords

Perturbations of ordinary differential equations, Stochastic stability in control theory, Stability of solutions to ordinary differential equations

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
6
Top 10%
Average
Average
gold