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
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;
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
DOI :
10.1109/ICCA.2009.5410523
