Exponential stability analysis for a class of neutral singular Markovian jump systems with time-varying delays
Autor: | Shouming Zhong, Hongbo Guan, Shaohua Long, Dian Zhang |
---|---|
Rok vydání: | 2019 |
Předmět: |
0209 industrial biotechnology
Class (set theory) Computer Networks and Communications Applied Mathematics 02 engineering and technology State (functional analysis) Singular systems Markovian jump 020901 industrial engineering & automation Exponential stability Control and Systems Engineering Signal Processing 0202 electrical engineering electronic engineering information engineering Applied mathematics 020201 artificial intelligence & image processing Mathematics |
Zdroj: | Journal of the Franklin Institute. 356:6015-6040 |
ISSN: | 0016-0032 |
DOI: | 10.1016/j.jfranklin.2019.04.036 |
Popis: | This paper deals with the exponential stability problem for a class of neutral singular systems with Markovian jump parameters. The considered systems involve time-varying delays not only in their state but also in their derivatives of state. By using the Lyapunov–Krasovskii functional method, some sufficient conditions are derived, which ensure that the considered systems are regular, impulse-free and exponentially stable. Finally, some numerical examples are employed to demonstrate the effectiveness of the obtained approaches. |
Databáze: | OpenAIRE |
Externí odkaz: |