Weak reachability and controllability of discrete-time nonlinear systems: generic approach and singular points

DOI10.1080/00207179.2018.1479076zbMath1440.93023OpenAlexW2806124350WikidataQ129710912 ScholiaQ129710912MaRDI QIDQ4960177

Tanel Mullari, Zbigniew Bartosiewicz, Mohammad Amin Sarafrazi, Claude H. Moog, Yu. R. Kotta, Ewa Pawłuszewicz

Publication date: 9 April 2020

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207179.2018.1479076

zbMATH Keywords

singularitiesnonlinear systemdiscrete-timeweak controllabilityweak reachability

Mathematics Subject Classification ID

Controllability (93B05) Nonlinear systems in control theory (93C10) Discrete-time control/observation systems (93C55) Attainable sets, reachability (93B03)

Cites Work

• Controllability to the origin implies state-feedback stabilizability for discrete-time nonlinear systems
• Implicit discrete-time systems and accessibility
• Algebraic methods for nonlinear control systems. Theory and applications.
• Commutative algebraic methods for controllability of discrete-time polynomial systems
• Controllability of Nonlinear Discrete-Time Systems: A Lie-Algebraic Approach
• Linearization of Discrete-Time Systems
• Discrete-Time Transitivity and Accessibility: Analytic Systems
• Forward and Backward Shifts of Vector Fields: Towards the Dual Algebraic Framework
• Simple Sufficient Conditions for Reachability of Discrete-Time Polynomial Systems

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