Keerthi, S. S.; Gilbert, E. G. Computation of minimum-time feedback control laws for discrete-time systems with state-control constraints. (English) Zbl 0611.93023 IEEE Trans. Autom. Control 32, 432-435 (1987). The problem of finding a feedback law that drives the state of a linear discrete-time system to the origin in minimum-time subject to state- control constraints is considered. Algorithms are given to obtain facial descriptions of the M-step admissible sets. These descriptions are then used to characterize the complete class of minimum-time feedback laws. Moreover, the characterization leads to a conceptually simple online implementation. The main ideas are illustrated with two simple examples. Cited in 47 Documents MSC: 93B40 Computational methods in systems theory (MSC2010) 93C05 Linear systems in control theory 93C55 Discrete-time control/observation systems 65K10 Numerical optimization and variational techniques Keywords:linear discrete-time system; state-control constraints; minimum-time feedback laws PDFBibTeX XMLCite \textit{S. S. Keerthi} and \textit{E. G. Gilbert}, IEEE Trans. Autom. Control 32, 432--435 (1987; Zbl 0611.93023) Full Text: DOI