Title :
Some optimal control results for differential-difference systems
Author :
Budelis, J.J. ; Bryson, A.E., Jr.
Author_Institution :
Harvard University, Cambridge, MA, USA
fDate :
4/1/1970 12:00:00 AM
Abstract :
A brief development of necessary conditions for an extremal path in the case where the system equations and the performance index contain a time delay in both the state and the control variables is given. An analytic solution is also presented for a linear system with a quadratic performance index in the case where the control variable appears in the system equations evaluated both at the present time and at a previous time. Unspecified constants in the solution are obtained by the inversion of a specified matrix. Results for some examples are illustrated.
Keywords :
Delay systems; Optimal control; Automatic control; Control systems; Delay effects; Difference equations; Differential equations; Linear systems; Mathematical model; Optimal control; Performance analysis; Time factors;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1970.1099423
