Estimating reachable sets for two-dimensional linear discrete systems

DOI10.1007/BF00938527zbMath0618.93006OpenAlexW2029390889MaRDI QIDQ1089290

Jonathan E. Gayek, Michael E. Fisher

Publication date: 1988

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00938527

zbMATH Keywords

reachable setbounded controlstwo-dimensional linear discrete-time system

Mathematics Subject Classification ID

Controllability (93B05) Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Eigenvalues, singular values, and eigenvectors (15A18) Attainable sets, reachability (93B03)

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Under-estimates of reachable sets for linear control systems ⋮ About the method for constructing external estimates of the limit controllability set for the linear discrete-time system with bounded control ⋮ On the problem of optimal speed for the discrete linear system with bounded scalar control on the basis of 0-controllability sets ⋮ On the geometric properties of reachable and controllable sets for linear discrete systems ⋮ On the optimal speed problem for the class of linear autonomous infinite-dimensional discrete-time systems with bounded control and degenerate operator ⋮ Reachable, controllable sets and stabilizing control of constrained linear systems ⋮ Null controllable region of LTI discrete-time systems with input saturation ⋮ Reachable and controllable sets for two-dimensional, linear, discrete- time systems ⋮ An explicit description of null controllable regions of linear systems with saturating actuators.

Cites Work

• Estimating the effect of continual disturbances on discrete-time population models
• Return time and vulnerability for a food chain model
• The minimal time regulator problem for linear sampled-data systems: General theory
• Approximating reachable sets for a class of linear control systems†
• Discretional Convexity and the Maximum Principle for Discrete Systems
• Unnamed Item

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