On the absolute stability of multivariable discrete-time nonlinear systems

DOI10.1109/TAC.1981.1102642zbMath0488.93038OpenAlexW2059366527MaRDI QIDQ3950408

Vimal Singh, T. N. Sharma

Publication date: 1981

Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/tac.1981.1102642

zbMATH Keywords

frequency-domainLjapunov's direct methodmultivariable discrete-time nonlinear systems

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Multivariable systems, multidimensional control systems (93C35) Discrete-time control/observation systems (93C55) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Transformations (93B17)

Related Items (8)

The absolute stability for general discrete Lurie systems with superposition of multiple nonlinearities ⋮ Observer-based output feedback control of discrete-time Luré systems with sector-bounded slope-restricted nonlinearities ⋮ Robust static and fixed-order dynamic output feedback control of discrete-time parametric uncertain Luré systems: Sequential SDP relaxation approaches ⋮ Elimination of limit cycles in a class of digital filters using single saturation nonlinearity ⋮ A brief look at the Tsypkin criterion: from analysis to design ⋮ Modified LMI condition for the realization of limit cycle-free digital filters using saturation arithmetic ⋮ Absolute stability criteria for infinite-dimensional discrete Lur'e systems with application to loaded distortionless electric RLCG-transmission line ⋮ Modified criterion for global asymptotic stability of fixed-point state-space digital filters using two's complement arithmetic

This page was built for publication: On the absolute stability of multivariable discrete-time nonlinear systems