Lyapunov Stability of Quasiperiodic Systems

Lyapunov Stability of Quasiperiodic Systems

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-Floq...

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Main Author: Sangram Redkar
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2012/721382
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spelling doaj-54a502980f734ad883440ad5537979be2020-11-24T21:05:57ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472012-01-01201210.1155/2012/721382721382Lyapunov Stability of Quasiperiodic SystemsSangram Redkar0Department of Engineering Technology, Arizona State University, Mesa, AZ 85212, USAWe 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.http://dx.doi.org/10.1155/2012/721382
collection DOAJ
language English
format Article
sources DOAJ
author Sangram Redkar
spellingShingle Sangram Redkar
Lyapunov Stability of Quasiperiodic Systems
Mathematical Problems in Engineering
author_facet Sangram Redkar
author_sort Sangram Redkar
title Lyapunov Stability of Quasiperiodic Systems
title_short Lyapunov Stability of Quasiperiodic Systems
title_full Lyapunov Stability of Quasiperiodic Systems
title_fullStr Lyapunov Stability of Quasiperiodic Systems
title_full_unstemmed Lyapunov Stability of Quasiperiodic Systems
title_sort lyapunov stability of quasiperiodic systems
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2012-01-01
description 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.
url http://dx.doi.org/10.1155/2012/721382
work_keys_str_mv AT sangramredkar lyapunovstabilityofquasiperiodicsystems
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