Lyapunov stability of quasiperiodic systems

Sangram Redkar

doi:10.1155/2012/721382

Lyapunov stability of quasiperiodic systems

Sangram Redkar

Advanced Technology Innovation Center (ATIC)

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

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.

Original language	English (US)
Article number	721382
Journal	Mathematical Problems in Engineering
Volume	2012
DOIs	https://doi.org/10.1155/2012/721382
State	Published - 2012

ASJC Scopus subject areas

General Mathematics
General Engineering

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title = "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.",

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AB - 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.

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Lyapunov stability of quasiperiodic systems

Abstract

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