Title :
Stabilizability conditions for strictly bilinear systems with purely imaginary spectra
Author :
Rahn, Christopher D.
Author_Institution :
Dept. of Mech. Eng., Clemson Univ., SC, USA
fDate :
9/1/1996 12:00:00 AM
Abstract :
This paper presents simple sufficient conditions for the stabilizability of single-input, strictly bilinear systems with purely imaginary spectra. If the state matrix eigenvalues are distinct and a matrix function of the bilinear input and eigenvector matrices has nonzero diagonal elements, then the system is globally, asymptotically stabilizable
Keywords :
asymptotic stability; bilinear systems; eigenvalues and eigenfunctions; globally asymptotically stabilizable system; matrix function; purely imaginary spectra; single-input strictly bilinear systems; stabilizability conditions; state matrix eigenvalues; sufficient conditions; Automatic control; Control systems; Controllability; Equations; Mathematics; Nonlinear control systems; Nonlinear systems; Optimal control; Process control; Transmission line matrix methods;
Journal_Title :
Automatic Control, IEEE Transactions on
