Stability criterion for uncertain 2-$D$ discrete systems with interval-like time-varying delay employing quantization/overflow nonlinearities

Authors

SIVA KUMAR TADEPALLI
VENKATA KRISHNA RAO KANDANVLI
HARANATH KAR

DOI

10.3906/elk-1409-14

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.

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, SIVA KUMAR; KANDANVLI, VENKATA KRISHNA RAO; and KAR, HARANATH (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: Vol. 24: No. 5, Article 17. https://doi.org/10.3906/elk-1409-14
Available at: https://journals.tubitak.gov.tr/elektrik/vol24/iss5/17