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
fDate :
9/1/1996 12:00:00 AM
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;
Journal_Title :
Automatic Control, IEEE Transactions on
