STABILITY OF LINEAR HYBRID SYSTEMS UNDER PARAMETRIC NON-GAUSSIAN CONTINUOUS EXCITATION

Full Article - PDF

Published: 2015-09-14

Page: 215-226


EWELINA SEROKA

Department of Mathematics and Natural Sciences, School of Sciences, Cardinal Stefan Wyszynski University in Warsaw, Str. Dewajtis 5, 01–815 Warsaw, Poland

LESLAW SOCHA *

Department of Mathematics and Natural Sciences, School of Sciences, Cardinal Stefan Wyszynski University in Warsaw, Str. Dewajtis 5, 01–815 Warsaw, Poland

*Author to whom correspondence should be addressed.


Abstract

The problem of the stability of a class of stochastic linear hybrid systems under parametric non– Gaussian continuous excitation with a special structure of matrices is considered. The input process is modeled as a polynomial of a Gaussian process. The linear systems under a parametric non– Gaussian continuous excitation are transformed to extended dimensional linear systems with a special structure under a parametric Gaussian excitation. Using the methodology of the stability analysis of linear hybrid systems with Markovian switchings and any switchings the sufficient conditions of the exponential p-th mean stability and the almost sure stability for a class of stochastic linear hybrid systems under parametric non–Gaussian excitation with a Markovian switching and the mean–square stability for a class of stochastic linear hybrid systems satisfying Lee- algebra conditions under parametric non–Gaussian excitation with any switching are derived, respectively. The obtained stability criteria are illustrated by two examples and simulations.

Keywords: Stochastic stability, stochastic hybrid systems, non-Gaussian excitation, lee-algebra criteria


How to Cite

SEROKA, E., & SOCHA, L. (2015). STABILITY OF LINEAR HYBRID SYSTEMS UNDER PARAMETRIC NON-GAUSSIAN CONTINUOUS EXCITATION. Asian Journal of Mathematics and Computer Research, 7(3), 215–226. Retrieved from https://ikprress.org/index.php/AJOMCOR/article/view/408

Downloads

Download data is not yet available.