Title :
The feedback action on quadratic forms
Author_Institution :
Virginia Polytechnical Inst. & State U., Blacksburg, VA
Abstract :
We consider the effect of linear state feedback on the sign of the quadratic form given by the system matrix. In the 2-dimensional case a simple computable criterion is derived. The problem that we consider is the following. Given a linear control system x = Ax + Bu, (1) can we choose a feedback law u = Kx that will make the quadratic form determined by A,
= negative definite?
Keywords :
Argon; Differential equations; Eigenvalues and eigenfunctions; Feedback; Stability; Symmetric matrices;
Conference_Titel :
Decision and Control, 1987. 26th IEEE Conference on
Conference_Location :
Los Angeles, California, USA
DOI :
10.1109/CDC.1987.272932
