Abstract
This paper addresses the problem of global asymptotic stability of a class of discrete uncertain state-delayed systems described by the Fornasini-Marchesini second local state-space (FMSLSS) model using generalized overflow nonlinearities. The uncertainties are assumed to be norm bounded. A computationally tractable, that is, linear-matrix-inequality-(LMI-) based new criterion for the global asymptotic stability of such system is proposed. It is demonstrated that several previously reported stability criteria for two-dimensional (2D) systems are recovered from the presented approach as special cases. Numerical examples are given to illustrate the usefulness of the presented approach.
Highlights
Two-dimensional (2D) systems play an important role in filtering, image data processing and transmission, water stream heating, seismographic data processing, thermal processes, biomedical imaging, gas absorption [1, 2], river pollution modeling [3], process of gas filtration [4], grid-based wireless sensor networks [5, 6], and many other areas
The stability analysis of 2D discrete systems described by the Fornasini-Marchesini second local state-space (FMSLSS) model in the simultaneous presence of Journal of Control Science and Engineering nonlinearity, state delay, and parameter uncertainty in their physical models is an important and realistic problem
This paper, deals with the problem of global asymptotic stability of a class of 2D discrete uncertain statedelayed systems described by the FMSLSS model employing generalized overflow nonlinearities
Summary
Two-dimensional (2D) systems play an important role in filtering, image data processing and transmission, water stream heating, seismographic data processing, thermal processes, biomedical imaging, gas absorption [1, 2], river pollution modeling [3], process of gas filtration [4], grid-based wireless sensor networks [5, 6], and many other areas. The problem of global asymptotic stability of 2D state-delayed FMSLSS model with saturation nonlinearities has been studied in [18, 19]. The stability analysis of 2D discrete systems described by the FMSLSS model in the simultaneous presence of Journal of Control Science and Engineering nonlinearity, state delay, and parameter uncertainty in their physical models is an important and realistic problem. This paper, deals with the problem of global asymptotic stability of a class of 2D discrete uncertain statedelayed systems described by the FMSLSS model employing generalized overflow nonlinearities.
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