Turkish Journal of Electrical Engineering and Computer Sciences
Abstract
This paper considers the problem of global asymptotic stability of a class of two-dimensional (2-$D$) uncertain discrete systems described by the Fornasini-Marchesini second local state-space (FMSLSS) model under the influence of various combinations of quantization/overflow nonlinearities and interval-like time-varying delay in the state. The systems under consideration involve parameter uncertainties that are assumed to be deterministic and norm-bounded. A delay-dependent stability criterion is established by bounding the forward difference of the 2-$D$ Lyapunov functional using the reciprocally convex approach. The criterion is compared with a recently reported criterion.
DOI
10.3906/elk-1409-14
Keywords
Delay-dependent stability criterion, finite wordlength effect, Lyapunov stability, state-delayed system, two-dimensional system, uncertain system
First Page
3543
Last Page
3551
Recommended Citation
TADEPALLI, S. K, KANDANVLI, V. K, & KAR, H (2016). Stability criterion for uncertain 2-$D$ discrete systems with interval-like time-varying delay employing quantization/overflow nonlinearities. Turkish Journal of Electrical Engineering and Computer Sciences 24 (5): 3543-3551. https://doi.org/10.3906/elk-1409-14
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