On global asymptotic stability of 2-D discrete systems with state saturation. (English) Zbl 1223.93054

Summary: A criterion for the global asymptotic stability of 2-D discrete systems described by the Roesser model employing state saturation nonlinearities is presented. The criterion is a less restrictive version of an earlier criterion due to Liu and Michel.


93C10 Nonlinear systems in control theory
93C55 Discrete-time control/observation systems
93C65 Discrete event control/observation systems
93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory
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[1] Classen, T.A.C.M.; Mecklenbräuker, W.F.G.; Peek, J.B.H., IEEE trans. acoust. speech signal process., 24, 517, (1976)
[2] H.J. Butterweck, J.H.F. Ritzerfeld, M.J. Werter, Finite Wordlength Effects in Digital Filters—A Review, EUT Report 88-E-205, Eindhoven University of Technology, Eindhoven, The Netherlands, 1988
[3] Liu, D.; Michel, A.N., IEEE trans. circuits syst. I, 41, 127, (1994)
[4] Singh, V., IEEE signal process. lett., 14, 719, (2007)
[5] Kar, H., Signal process., 88, 86, (2008)
[6] Singh, V., Signal process., 88, 1304, (2008)
[7] Xiao, C.; Hill, D.J., IEEE trans. signal process., 44, 2108, (1996)
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