Concepedia

An algorithm to find maximal state constraint sets for discrete-time linear dynamical systems with bounded controls and states

IEEE Transactions on Automatic Control · 1987 · 172 citations · 10 references

Concepts

Natural SciencesComputer ScienceMathematicsAlgorithmsDynamical SystemsApproximation AlgorithmsConstraint SatisfactionControl Of Dynamical SystemsControl TheoryConstrained ControlPolyhedral Theory

Abstract

An algorithm to find a polyhedral approximant to the maximal state constraint set, given state and input bounds, is suggested for linear discrete-time dynamical systems.

References

10

Admissible sets and feedback control for discrete-time linear dynamical systems with bounded controls and states

Per‐Olof Gutman, Michael Ćwikel · IEEE Transactions on Automatic Control · 1986 · 247 citations

Natural Sciences, Mathematics, Discrete Mathematics +14

An optimal control approach to dynamic routing in networks

Franklin H. Moss, A. Segall · IEEE Transactions on Automatic Control · 1982 · 119 citations

Natural Sciences, Industrial Engineering, Computer Networks +16

The minimal time regulator problem for linear sampled-data systems: General theory

C. Desoer, J. Wing · Journal of the Franklin Institute · 1961 · 65 citations

Natural Sciences, Mathematics, Systems Engineering +12

A minimal time discrete system

C. Desoer, J. Wing · IRE Transactions on Automatic Control · 1961 · 54 citations

Engineering, Systems Engineering, Circuit Theory +13

An optimal strategy for a saturating sampled-data system

C. Desoer, J. Wing · IRE Transactions on Automatic Control · 1961 · 43 citations

Engineering, Mathematics, Dynamical Systems +10