The absolute stability for general discrete Lurie systems with superposition of multiple nonlinearities

Xiuyuan Zhao and Zuoxin Gan

Applied Mathematics and Computation, 2015, vol. 259, issue C, 490-496

Abstract: In this paper, with the application of the concept of absolute stability about the certain variable, the necessary and sufficient conditions of absolute stability are obtained, which are about general discrete Lurie systems with superposition of nonlinearities. Some sufficient conditions are also obtained via the discrete Gronwall inequality. A numerical example illustrates the effectiveness of the proposed results.

Keywords: General discrete Lurie systems; Absolute stability; Superposition of nonlinearities; Discrete Gronwall inequality (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:259:y:2015:i:c:p:490-496

DOI: 10.1016/j.amc.2015.02.076

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