DocumentCode :
827395
Title :
A simple derivation of the gradient conditions for optimal constant output feedback gains
Author :
Hutcheson, W.J.
Author_Institution :
Imperial College of Science and Technology, London, England
Volume :
23
Issue :
5
fYear :
1978
fDate :
10/1/1978 12:00:00 AM
Firstpage :
937
Lastpage :
938
Abstract :
A simple and direct derivation of necessary conditions for optimality of output feedback gains for a linear time-invariant system is presented. The dependence of the cost on the initial state 
is eliminated by the well-known technique of averaging the initial state over the surface of the 
-dimensional unit sphere.
is eliminated by the well-known technique of averaging the initial state over the surface of the -dimensional unit sphere.Keywords :
Linear systems, time-invariant continuous-time; Optimal control; Output feedback; Algebra; Calculus; Cost function; Differential equations; Education; Eigenvalues and eigenfunctions; Iron; Lagrangian functions; Output feedback; Symmetric matrices;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1978.1101846
Filename :
1101846
Link To Document :
