A controllability condition for nonlinear systems
- 1 August 1972
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 17 (4) , 569-570
- https://doi.org/10.1109/tac.1972.1100064
Abstract
It is shown that a control system characterized by a differential equation of the form dot{x}(t) = A(t)x(t) + B(t)u(t) + f(t,x(t)) , whose linear part is controllable, is itself controllable provided the nonlinear function f satisfies a condition amounting to stating that its "dc gain" approaches zero as parallelxparallel ightarrow infty . The proof uses the Schauder fixed-point theorem.Keywords
This publication has 1 reference indexed in Scilit:
- On the controllability of a class of nonlinear systemsIEEE Transactions on Automatic Control, 1971