Abstract and Applied Analysis
Volume 2004 (2004), Issue 6, Pages 487-499
doi:10.1155/S1085337504306238
Efficient criteria for the stabilization of planar linear systems by hybrid feedback controls
Elena Litsyn1
, Marina Myasnikova2
, Yurii Nepomnyashchikh2
and Arcady Ponosov4
1Department of Mathematics, Ben-Gurion University of the Negev, Beer-Sheva 84105, Israel
2Department of Mechanics \& Mathematics, Perm State University, 15 Bukirev Street, Perm 614990, Russia
4Institutt for Matematiske Fag, Norges Landbrukshøgskole (NLH), Postboks 5035, N-1432 Ås, Norway
Abstract
We suggest some criteria for the stabilization of planar linear systems via linear hybrid feedback controls. The results are formulated in terms of the input matrices. For instance, this enables us to work out an algorithm which is directly suitable for a computer realization. At the same time, this algorithm helps to check easily if a given linear 2×2 system can be stabilized (a) by a linear ordinary feedback control or (b) by a linear hybrid feedback control.