Title :
The high-frequency Π-criterion for retarded systems
Author_Institution :
Brown University, Providence, RI, USA
fDate :
10/1/1985 12:00:00 AM
Abstract :
A test for local properness in optimal periodic control of functional differential (including delay differential) equations is proven. If it is satisfied, the performance near an optimal steady state can be improved by controls and trajectories of sufficiently high frequencies.
Keywords :
Delay systems, nonlinear; Periodic control, nonlinear systems; Control systems; Damping; Differential equations; Feedback; Frequency; Optimal control; Partial differential equations; Steady-state; Stochastic resonance; System testing;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1985.1103801