On the problem of operation speed for the class of linear infinite-dimensional discrete-time systems with bounded control

DOI10.1134/S0005117917100010zbMath1387.93108OpenAlexW2762787572MaRDI QIDQ683448

A. N. Sirotin, D. N. Ibragimov

Publication date: 6 February 2018

Published in: Automation and Remote Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0005117917100010

zbMATH Keywords

convex setsdiscreet principle of maximumlinear infinite-dimensional discreet systemsMinkowsky sumproblem of operation speed

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Optimality conditions for problems involving relations other than differential equations (49K21)

Related Items (5)

On sufficient optimality conditions for a guaranteed control in the speed problem for a linear time-varying discrete-time system with bounded control ⋮ About the method for constructing external estimates of the limit controllability set for the linear discrete-time system with bounded control ⋮ Construction of the time-optimal bounded control for linear discrete-time systems based on the method of superellipsoidal approximation ⋮ A priori estimates of the objective function in the speed-in-action problem for a linear two-dimensional discrete-time system ⋮ On the optimal speed problem for the class of linear autonomous infinite-dimensional discrete-time systems with bounded control and degenerate operator

Cites Work

• On the problem of optimal speed for the discrete linear system with bounded scalar control on the basis of 0-controllability sets
• Application of mathematical programming in the design of optimal control systems†
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