Title :
On the relation between local controllability and stabilizability for a class of nonlinear systems
Author :
Celikovsky, Sergej ; Nijmeijer, Henk
Author_Institution :
Inst. of Inf. Theory & Autom., Czechoslovak Acad. of Sci., Prague, Czech Republic
fDate :
1/1/1997 12:00:00 AM
Abstract :
The problem of local stabilizability of locally controllable nonlinear systems is considered. It is well known that, contrary to the linear case, local controllability does not necessarily imply stabilizability. A class of nonlinear systems for which local controllability implies local asymptotic stabilizability using continuous static-state feedback is described, as for this class of systems the well-known Hermes controllability condition is necessary and sufficient for local controllability
Keywords :
asymptotic stability; continuous time systems; controllability; nonlinear systems; robust control; state feedback; Hermes controllability condition; asymptotic stability; continuous static-state feedback; local controllability; necessary condition; nonlinear systems; stabilizability; sufficient condition; triangular form; Automatic control; Control systems; Controllability; Differential equations; Feedback; Nonlinear control systems; Nonlinear systems; Partial differential equations; Shape control; Vibration control;
Journal_Title :
Automatic Control, IEEE Transactions on
