A stability analysis of two-dimensional nonlinear digital state-space filters

DOI10.1109/29.60084zbMath0706.93053OpenAlexW2152003607MaRDI QIDQ3487239

Peter H. Bauer, Eliahu I. Jury

Publication date: 1990

Published in: IEEE Transactions on Acoustics, Speech, and Signal Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/29.60084

zbMATH Keywords

shift-varying systemdigital filter stability under finite word-length effectssector descriptiontwo-dimensional (2-D) nonlinear discrete state-space systems

Mathematics Subject Classification ID

Filtering in stochastic control theory (93E11) Nonlinear systems in control theory (93C10) Discrete-time control/observation systems (93C55) Asymptotic stability in control theory (93D20)

Related Items (10)

Robust stability of multidimensional difference equations with shift- variant coefficients ⋮ A set of necessary stability conditions for \(m\)-D nonlinear digital filters ⋮ Stability results for decomposable multidimensional digital systems based on the Lyapunov equation ⋮ Energy-to-peak model reduction for 2-D discrete systems in Fornasini-Marchesini form ⋮ Stability of interfered digital filters subjected to Markovian jumping parameters and time delay employing quantization/overflow nonlinearities ⋮ New ISS result for Lipschitz nonlinear interfered digital filters under various concatenations of quantization and overflow ⋮ LMI-based criterion for robust stability of 2-D discrete systems with interval time-varying delays employing quantisation / overflow nonlinearities ⋮ An LMI approach to robust optimal guaranteed cost control of 2-D discrete systems described by the Roesser model ⋮ A new delay-dependent stability criterion for uncertain 2-D discrete systems described by Roesser model under the influence of quantization/overflow nonlinearities ⋮ Null controllability of systems with control constraints and state saturation

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