DocumentCode :
802298
Title :
On the solution of time-optimal control problems in the presence of quadratic constraints
Author :
Klafter, R.
Author_Institution :
Drexel University, Philadelphia, PA, USA
Volume :
15
Issue :
1
fYear :
1970
fDate :
2/1/1970 12:00:00 AM
Firstpage :
114
Lastpage :
115
Abstract :
It is shown that the minimization of 
with respect to λ results in a set of 
equations which are linear in ( 
) lambdas and nonlinear in the minimum time. These equations can also be obtained by satisfying the terminal conditions subject to the condition, 
.
with respect to λ results in a set of equations which are linear in ( ) lambdas and nonlinear in the minimum time. These equations can also be obtained by satisfying the terminal conditions subject to the condition, .Keywords :
Linear systems; Time-optimal control; Automatic control; Boundary value problems; Costs; Dynamic programming; Feedback; Functional analysis; Nonlinear equations; Optimal control; Symmetric matrices; Vectors;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1970.1099367
Filename :
1099367
Link To Document :
