Lyapunov stability of quasiperiodic systems

Research output: Contribution to journalArticle

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 languageEnglish (US)
Article number721382
JournalMathematical Problems in Engineering
Volume2012
DOIs
StatePublished - 2012

Fingerprint

Lyapunov Stability
Periodicity
Lyapunov
Stability Margin
Parametric Excitation
Reducibility
Robustness (control systems)
Controller Design
Stability Condition
Robustness
Controllers
Term

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)

Cite this

Lyapunov stability of quasiperiodic systems. / Redkar, Sangram.

In: Mathematical Problems in Engineering, Vol. 2012, 721382, 2012.

Research output: Contribution to journalArticle

@article{1ffd24679a214933af41813cb887573d,
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.",
author = "Sangram Redkar",
year = "2012",
doi = "10.1155/2012/721382",
language = "English (US)",
volume = "2012",
journal = "Mathematical Problems in Engineering",
issn = "1024-123X",
publisher = "Hindawi Publishing Corporation",

}

TY - JOUR

T1 - Lyapunov stability of quasiperiodic systems

AU - Redkar, Sangram

PY - 2012

Y1 - 2012

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=84867960023&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84867960023&partnerID=8YFLogxK

U2 - 10.1155/2012/721382

DO - 10.1155/2012/721382

M3 - Article

VL - 2012

JO - Mathematical Problems in Engineering

JF - Mathematical Problems in Engineering

SN - 1024-123X

M1 - 721382

ER -