Stability of nonlinear positive semi-Markovian jump systems with mode-dependent delay subject to mode-dependent average dwell time
نویسندگان
چکیده
This article concentrates on the stability of nonlinear positive semi-Markovian jump systems (NPSMJSs) with mode-dependent delay, where transition rate functions depend both sojourn-times and average dwell time (ADT) switching. By resorting to linear programming (LP) approach, sufficient conditions for stochastic exponential delay NPSMJSs are developed. In addition, we obtain $ L_{1}- $gian performance analysis. Finally, two numerical examples proposed illustrate advantages theoretical results.
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ژورنال
عنوان ژورنال: Discrete and Continuous Dynamical Systems - Series S
سال: 2023
ISSN: ['1937-1632', '1937-1179']
DOI: https://doi.org/10.3934/dcdss.2022197