TY - JOUR
T1 - Stability and robustness analysis of a linear time-periodic system subjected to random perturbations
AU - Redkar, Sangram
AU - Liu, J.
AU - Sinha, S. C.
N1 - Copyright:
Copyright 2011 Elsevier B.V., All rights reserved.
PY - 2012/3
Y1 - 2012/3
N2 - 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.
AB - 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.
KW - Lyapunov-Floquet (L-F) transformation
KW - Time periodic system
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U2 - 10.1016/j.cnsns.2011.08.011
DO - 10.1016/j.cnsns.2011.08.011
M3 - Article
AN - SCOPUS:80053383671
SN - 1007-5704
VL - 17
SP - 1430
EP - 1437
JO - Communications in Nonlinear Science and Numerical Simulation
JF - Communications in Nonlinear Science and Numerical Simulation
IS - 3
ER -