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Reachable sets and controllability of bilinear time-invariant systems: a qualitative approach
Journal article   Peer reviewed

Reachable sets and controllability of bilinear time-invariant systems: a qualitative approach

A.Yu Khapalov and R.R Mohler
IEEE transactions on automatic control, Vol.41(9), pp.1342-1346
09/1996
Handle:
https://hdl.handle.net/2376/110880

Abstract

Linear systems Sufficient conditions Transmission line matrix methods Biological system modeling Integral equations Systems biology Controllability Matrix decomposition Nonlinear systems Computational biology
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.

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