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

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  • Zhao, Xiuyuan
  • Gan, Zuoxin

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.

Suggested Citation

  • Zhao, Xiuyuan & Gan, Zuoxin, 2015. "The absolute stability for general discrete Lurie systems with superposition of multiple nonlinearities," Applied Mathematics and Computation, Elsevier, vol. 259(C), pages 490-496.
    • Handle: RePEc:eee:apmaco:v:259:y:2015:i:c:p:490-496
    DOI: 10.1016/j.amc.2015.02.076
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