The input-to-state stability condition and global stabilization of discrete-time systems

DOI10.1109/9.328799zbMath0925.93568OpenAlexW2111984442MaRDI QIDQ4312841

Demosthenes Kazakos, John Tsinias

Publication date: 8 November 1999

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

Full work available at URL: https://doi.org/10.1109/9.328799

Mathematics Subject Classification ID

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

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On input-to-state stability for stochastic coupled control systems on networks ⋮ Input-to-state stability of singularly perturbed control systems with delays ⋮ Observer-based output feedback control of discrete-time Luré systems with sector-bounded slope-restricted nonlinearities ⋮ Equivalent types of ISS Lyapunov functions for discontinuous discrete-time systems ⋮ Changing supply rates for input-output to state stable discrete-time nonlinear systems with applications ⋮ Input to state stability and allied system properties ⋮ Controllability to the origin implies state-feedback stabilizability for discrete-time nonlinear systems ⋮ Input-to-state stability for discrete-time nonlinear systems ⋮ Discrete-time certainty equivalence output feedback: allowing discontinuous control laws including those from model predictive control ⋮ Forwarding stabilization in discrete time ⋮ Relaxed ISS Small-Gain Theorems for Discrete-Time Systems ⋮ Necessary and sufficient conditions for robust global asymptotic stabilization of discrete-time systems

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