DocumentCode
3430799
Title
Floquet theory for linear periodic differential equations with discontinuous right-hand side
Author
Michel, Anthony N. ; Hou, Ling
Author_Institution
Dept. of Electr. Eng., Univ. of Notre Dame, Notre Dame, IN, USA
fYear
2009
fDate
9-11 Dec. 2009
Firstpage
128
Lastpage
132
Abstract
The Floquet theory for linear periodic differential equations pertains to equations with continuous right-hand side. In the present paper we generalize this theory to systems with discontinuous right-hand side. We assume that in every finite time interval, there are at most a finite number of discontinuities. We demonstrate the applicability of our results in the stability analysis of specific examples.
Keywords
differential equations; stability; Floquet theory; discontinuous right-hand side; finite time interval; linear periodic differential equation; stability analysis; Automatic control; Automation; Differential equations; Eigenvalues and eigenfunctions; Stability analysis;
fLanguage
English
Publisher
ieee
Conference_Titel
Control and Automation, 2009. ICCA 2009. IEEE International Conference on
Conference_Location
Christchurch
Print_ISBN
978-1-4244-4706-0
Electronic_ISBN
978-1-4244-4707-7
Type
conf
DOI
10.1109/ICCA.2009.5410523
Filename
5410523
Link To Document