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

SEROKA, EWELINA and SOCHA, LESLAW (2015) STABILITY OF LINEAR HYBRID SYSTEMS UNDER PARAMETRIC NON-GAUSSIAN CONTINUOUS EXCITATION. Asian Journal of Mathematics and Computer Research, 7 (3). pp. 215-226.

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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.

Item Type: Article
Subjects: Open Research Librarians > Mathematical Science
Depositing User: Unnamed user with email support@open.researchlibrarians.com
Date Deposited: 23 Dec 2023 08:25
Last Modified: 23 Dec 2023 08:25
URI: http://stm.e4journal.com/id/eprint/2344

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