Title :
On Simultaneous Stabilization by Feedback of Finitely Many Oscillators
Author_Institution :
Dept. of Math. Sci., Univ. of Bath, Bath, UK
Abstract :
A problem of stabilization by feedback of finitely many oscillators via bilinear control action with a common scalar input u is addressed. Under the assumption that the frequencies of the uncontrolled (u = 0) oscillators are distinct, a globally asymptotically stabilizing feedback is developed.
Keywords :
asymptotic stability; feedback; nonlinear systems; bilinear control action; common scalar input; finitely many oscillators; global asymptotic stabilizing feedback; nonlinear systems; simultaneous stabilization problem; uncontrolled oscillators; Asymptotic stability; Control systems; Equations; Feedback control; Nonlinear systems; Oscillators; Writing; Nonlinear systems; stability of NL systems;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2014.2341893