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- Title
Stability analysis and L1 -gain characterization of positive sampled-data systems.
- Authors
Hu, Meng-Jie; Shi, Xinchen; Sun, Zhuoqi
- Abstract
In this study, the positive stability and L 1 -gain characterization problem are investigated for positive sampled-data systems. By constructing a new sampling-period-dependent copositive Lyapunov functional, and introducing the free weight matrix method to remove the single integral term, sufficient conditions for the asynchronous stability of the positive sampled-data system are established. Furthermore, system disturbances that occur frequently in engineering are taken into account. Conditions for robust stability of positive sampled-data systems that satisfy L 1 -gain performance are developed in the form of the linear programming technology. A numerical example and a practical simulation based on a communication network model are provided to illustrate the rationality and application of the theoretical results.
- Subjects
DISCRETE-time systems; POSITIVE systems; TELECOMMUNICATION systems; COMMUNICATION models
- Publication
Transactions of the Institute of Measurement & Control, 2024, Vol 46, Issue 8, p1500
- ISSN
0142-3312
- Publication type
Article
- DOI
10.1177/01423312231198559