Abstract
This paper is concerned with the output stabilisation for a class of distributed bilinear system evolving in a spatial domain Ω. We give sufficient conditions for strong and weak output stabilisation. Also, the output stabilisation is discussed using a minimisation problem. Examples and simulations are given.
Acknowledgments
The authors are grateful to both referees and the editor, for all useful comments and suggestions, which have greatly helped to improve the presentation of this paper.
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No potential conflict of interest was reported by the author(s).
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Notes on contributors
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Abderrahman Ait Aadi
Abderrahman Ait Aadi is a researcher at MACS Laboratory, University Moulay Ismail of Meknes, Morocco. He received his doctorate in Applied Mathematics (2019) at the Faculty of Sciences in Meknes. He wrote many papers in the area of systems theory and especially in optimal control and stabilisation of infinite dimensional systems.
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El Hassan Zerrik
El Hassan Zerrik is a Professor at Moulay Ismail University of Meknes in Morocco. He was an assistant professor at the Faculty of Sciences of Meknes and a researcher at Perpignan University (France). He got his PhD degree in 1993, at Mohammed V University of Rabat, Morocco. Professor Zerrik wrote many papers and books in the area of systems theory and especially in regional control and analysis of infinite dimensional systems. Now he is the head of the research MACS Laboratory, at Moulay Ismail University of Meknes in Morocco.