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Asynchronous l2 – l∞ filtering of discrete-time impulsive switched systems with admissible edge-dependent average dwell time switching signal.
- Source :
-
International Journal of Systems Science . May2021, Vol. 52 Issue 8, p1564-1585. 22p. - Publication Year :
- 2021
-
Abstract
- In this paper, the asynchronous l 2 − l ∞ filtering problem is directed at a kind of discrete-time impulsive switched systems, where 'asynchronous' implies that there is a delay when switching occurs between filter modes and system modes. A novel Lyapunov function has been constructed. The inventiveness lies in discontinuity of Lyapunov-like function at both the switching time and the instant when the system modes and filter modes are matched. An improved inequality portraying the relationship among Lyapunov-like function, impulse, asynchronous phenomena and disturbance is built to pledge the l 2 − l ∞ performance. On the basis of directed graph, the novel Lyapunov function, the improved inequality and admissible edge-dependent average dwell time technology, some criteria suitable for proving the globally uniformly exponential stability of filtering error system are proposed with l 2 − l ∞ performance index, and the relevant filter can also be designed. Finally, three numerical examples show the availability of the obtained conclusions. [ABSTRACT FROM AUTHOR]
- Subjects :
- *DISCRETE time filters
*EXPONENTIAL stability
*LYAPUNOV functions
*DIRECTED graphs
Subjects
Details
- Language :
- English
- ISSN :
- 00207721
- Volume :
- 52
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- International Journal of Systems Science
- Publication Type :
- Academic Journal
- Accession number :
- 150497576
- Full Text :
- https://doi.org/10.1080/00207721.2020.1866094