Title :
A minimax theorem for guaranteed terminal error
Author :
Barmish, B. Ross ; Fleming, John A. ; Thorp, James S.
Author_Institution :
Yale University, New Haven, CT, USA
fDate :
12/1/1975 12:00:00 AM
Abstract :
A control law u
0guaranteeing a prespecified terminal error is found subject to bounded uncertainties in the initial state. In the general case, this u
0is described by a finite-dimensional minimax point

. A refinement of this result is given for the case when the set of possible initial states is polyhedral convex.
Keywords :
Guaranteed cost control; Linear systems, time-varying continuous-time; Minimax control; Uncertain systems; Automatic control; Control systems; Delay; Equations; Matrix decomposition; Minimax techniques; Notice of Violation; Optimal control; Stochastic processes; Stochastic systems;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1975.1101116