DocumentCode :
834324
Title :
Asymptotic holdability
Author :
Stern, Ronald J.
Author_Institution :
Concordia University, Montreal, Canada
Volume :
25
Issue :
6
fYear :
1980
fDate :
12/1/1980 12:00:00 AM
Firstpage :
1196
Lastpage :
1198
Abstract :
Given an autonomous linear control system and a linear subspace S \\subset R^{n} , we say that an initial state is asymptotically holdable in S if the trajectory can be held arbitrarily near S on any specified compact initial interval, subject to an L1bound on input energy which depends on the initial state and the interval. It is shown that asymptotic holdability is equivalent to holdability obtaining under a certain impulse control process. A geometric characterization is given.
Keywords :
Impulsive control; Linear systems, time-invariant continuous-time; Control systems; Councils; Erbium; Euclidean distance; Mathematics; Power engineering and energy; Process control; Size control; Tellurium;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1980.1102521
Filename :
1102521
Link To Document :
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