Impulsive Control of Some Types of Nonlinear Systems Using a Set of Uncertain Control Matrices

Keke Wu, Babatunde Oluwaseun Onasanya, Longzhou Cao and Yuming Feng ()
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Keke Wu: Department of General Education, Chongqing Preschool Education College, Wanzhou, Chongqing 404047, China
Babatunde Oluwaseun Onasanya: Department of Mathematics, University of Ibadan, Ibadan 200284, Nigeria
Longzhou Cao: School of Three Gorges Artificial Intelligence, Chongqing Three Gorges University, Wanzhou, Chongqing 404100, China
Yuming Feng: Key Laboratory of Intelligent Information Processing and Control, Chongqing Three Gorges University, Wanzhou, Chongqing 404100, China

Mathematics, 2023, vol. 11, issue 2, 1-12

Abstract: So many real life problems ranging from medicine, agriculture, biology and finance are modelled by nonlinear systems. In this case, a chaotic nonlinear system is considered and, as opposed to solving Linear Matrix Inequality (LMI), which is the usual approach but cumbersome, a completely different approach was used. In some other cases, the computation of singular value of matrix was used but the method in this study needs not such. In addition, most models, if not all, concentrate on finding a control matrix J under some sufficient conditions. The problem is that only one such matrix J is provided. In reality, the actual control quantity may have a little deviation from the theoretical J . Hence, the study in this paper provides a set of infinite uncertain matrices J α which are able to adapt to control the system under uncertain conditions. It turns out that this new method controls the system in shorter time with less computational complexities.

Keywords: uncertain control matrices; impulsive control; deviation matrices (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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