DocumentCode
1367983
Title
Reachable sets and controllability of bilinear time-invariant systems: a qualitative approach
Author
Khapalov, A.Yu. ; Mohler, R.R.
Author_Institution
Dept. of Electr. & Comput. Eng., Oregon State Univ., Corvallis, OR, USA
Volume
41
Issue
9
fYear
1996
fDate
9/1/1996 12:00:00 AM
Firstpage
1342
Lastpage
1346
Abstract
This paper is concerned with a qualitative method for the study of reachable sets and controllability of bilinear time-invariant systems. A nonlinear decomposition technique which reduces the solution of the problem to the analysis of the qualitative behavior of a finite number of linear uncontrolled systems is introduced. Special consideration is given to the homogeneous bilinear systems with commutative matrices. Two- and three-dimensional examples are discussed
Keywords
bilinear systems; controllability; matrix algebra; bilinear time-invariant systems; commutative matrices; controllability; homogeneous bilinear systems; linear uncontrolled systems; nonlinear decomposition technique; qualitative approach; qualitative behavior; reachable sets; Biological system modeling; Computational biology; Controllability; Integral equations; Linear systems; Matrix decomposition; Nonlinear systems; Sufficient conditions; Systems biology; Transmission line matrix methods;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.536506
Filename
536506
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