Title :
On a class of minimum energy controls related to spline functions
Author :
Netravali, A.N. ; De Figueiredo, R. J P
Author_Institution :
Bell Laboratories, Holmdel, NJ, USA
fDate :
10/1/1976 12:00:00 AM
Abstract :
The problem of determining a minimum energy control for a dynamically interconnected set of

single input-single output finite-dimensional linear time-varying dynamical systems, for which the outputs are constrained to assume prescribed values at different points in time, is considered. It is shown that the solution (optimal controller) is obtained by performing a linear operation on an appropriate vector-valued generalized interpolating spline.
Keywords :
Interconnected systems; Linear systems, time-varying continuous-time; Minimum-energy control; Spline functions; Approximation methods; Constraint theory; Control systems; Control theory; Interconnected systems; Interpolation; Large-scale systems; Optimal control; Spline; Time varying systems;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1976.1101327