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.
Full text not available from this repository.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 |
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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 |