A New Sufficient Criterion for the Stability of 2-D Discrete Systems

Kanellakis, A.; Tawfik, A.

doi:10.1109/access.2021.3078076

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2022

2023

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Cited by 4 publications

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“…The problem of GAS of 2-D digital filters based on the FMSLSS model with saturation has been investigated in [11]. Stability conditions for 2-D linear shift invariant DSs has been reported in [42]. The problems of establishing L2 gain and structural stability of the mixed 2-D continuous-DSs have been discussed in [43].…”

Section: Literature Reviewmentioning

confidence: 99%

Stability of uncertain 2-D discrete delayed systems with saturation

2022

IJATEE

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Based on the Roesser model with saturation nonlinearities (SNL) and time-varying delays (TVDs), this paper studies the global asymptotic stability (GAS) of two-dimensional (2-D) uncertain discrete systems (DSs). The underlying system involves norm-bounded parameter uncertainties. By utilizing the idea of Wirtinger-based inequality (WBI) with reciprocal convex inequality (RCI), a new criterion is derived to ensure the GAS of 2-D systems. Numerical examples demonstrate the advantages of the proposed method.With the MATLAB software and YALMIP 3.0, it is found that the obtained criterion provides less stringent results than an existing criterion.

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Section: Literature Reviewmentioning

confidence: 99%