Title :
Linear Controllability Versus Global Controllability
Author_Institution :
Sch. of Math. & Comput. Sci., Sun Yat-sen Univ., Guangzhou, China
fDate :
7/1/2009 12:00:00 AM
Abstract :
In this note, the relationship between linear controllability and global controllability for a class of two dimensional nonlinear control systems x dot=Ax+B(x)u has been discussed in detail. It is shown that the linear controllability can imply the global controllability under some certain conditions. Furthermore, a counterexample is constructed to answer an open problem in the paper [X. M. Hu and C. Martin, Linear Reachability Versus Global Stabilization, IEEE Transactions on Automatic Control, vol. 44, no. 6, pp. 1303-1305, 1999].
Keywords :
controllability; linear systems; multidimensional systems; nonlinear control systems; global controllability; linear controllability; planar systems; two dimensional nonlinear control systems; Automatic control; Control systems; Controllability; Nonlinear control systems; Nonlinear systems; Pi control; Proportional control; Riccati equations; Sun; Transmission line matrix methods; Control curve; controllability; nonlinearity; planar systems;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2009.2020643
