Stability and robustness analysis of a linear time-periodic system subjected to random perturbations

Sangram Redkar, J. Liu, S. C. Sinha

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


In this work, new methods of guaranteeing the stability of linear time periodic dynamical systems with stochastic perturbations are presented. In the approaches presented here, the Lyapunov-Floquet (L-F) transformation is applied first so that the linear time-periodic part of the equations becomes time-invariant. For the linear time periodic system with stochastic perturbations, a stability theorem and related corollary have been suggested using the results previously obtained by Infante. This technique is not only applicable to systems with stochastic parameters but also to systems with deterministic variation in parameters. Some illustrative examples are presented to show the practical applications. These methods can be used to investigate the degree of robustness and design controllers for systems with time periodic coefficients subjected to random perturbations.

Original languageEnglish (US)
Pages (from-to)1430-1437
Number of pages8
JournalCommunications in Nonlinear Science and Numerical Simulation
Issue number3
StatePublished - Mar 2012


  • Lyapunov-Floquet (L-F) transformation
  • Time periodic system

ASJC Scopus subject areas

  • Numerical Analysis
  • Modeling and Simulation
  • Applied Mathematics


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