Reachable Set Estimation of Discrete Singular Systems with Time-Varying Delays and Bounded Peak Inputs

Hongli Yang, Lijuan Yang and Ivan Ganchev Ivanov ()
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Hongli Yang: School of Data Science, Qingdao Huanghai University, Linghai Road 1145, Qingdao 266427, China
Lijuan Yang: College of Mathematics and Systems Science, Shandong University of Science and Technology, Qianwangang Road 579, Qingdao 266590, China
Ivan Ganchev Ivanov: Faculty of Economics and Business Administration, Sofia University, 1113 Sofia, Bulgaria

Mathematics, 2024, vol. 13, issue 1, 1-13

Abstract: This paper studies the estimation of reachable sets for discrete-time singular systems with time-varying delays and bounded peak inputs. A novel linear matrix inequality condition for the reachable set estimation of the time-varying time-delay discrete singular system is derived using an inverse convex combination and the discrete form of the Wirtinger inequality. Furthermore, the symmetric matrix involved in the obtained results does not need to be positively definite. Compared to decomposing the time-delay discrete singular system under consideration into fast and slow subsystems, the method presented in this paper is simpler and involves fewer variables. Two numerical examples are provided to illustrate the proposed method.

Keywords: reachable set; time-delay; singular systems; LMI; Wirtinger inequality (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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