DocumentCode :
3181220
Title :
Bounds on the solution of the time-varying linear matrix differential equation P˙ (t) = AH(t)P(t) +P(t)A(t) + Q(t)
Author :
Zhu, Yongliang ; Pagilla, Prabhakar R.
Author_Institution :
Sch. of Mech. & Aerosp. Eng., Oklahoma State Univ., Stillwater, OK, USA
Volume :
5
fYear :
2004
fDate :
14-17 Dec. 2004
Firstpage :
5392
Abstract :
We derive upper and lower bounds for the trace of the solution of the time-varying linear matrix differential equation P˙(t) = AH(t)P(t) + P(t)A(t) + Q(t). The bounds obtained are useful since the considered equation is encountered in a number of applications in systems and control theory.
Keywords :
differential equations; linear systems; time-varying systems; control theory; systems theory; time-varying linear matrix differential equation; Aerospace engineering; Automated highways; Control systems; Control theory; Controllability; Differential equations; Eigenvalues and eigenfunctions; Engineering profession; Observability; Time varying systems;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Decision and Control, 2004. CDC. 43rd IEEE Conference on
ISSN :
0191-2216
Print_ISBN :
0-7803-8682-5
Type :
conf
DOI :
10.1109/CDC.2004.1429665
Filename :
1429665
Link To Document :
https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=3181220
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