DocumentCode
2460525
Title
A spectral lyapunov function for exponentially stable LTV systems
Author
Zhu, J.J. ; Liu, Yong ; Hang, Rui
Author_Institution
Sch. of Electr. Eng. & Comput. Sci., Ohio Univ., Athens, OH, USA
fYear
2009
fDate
10-12 June 2009
Firstpage
1146
Lastpage
1153
Abstract
This paper presents the formulation of a Lyapunov function for an exponentially stable linear time-varying (LTV) system using a well-defined PD-spectrum and the associated PD-eigenvectors. It provides a bridge between the first and second methods of Lyapunov for stability assessment, and will find significant applications in the analysis and control law design for LTV systems and linearizable nonlinear time-varying systems.
Keywords
Lyapunov methods; PD control; control system analysis; control system synthesis; eigenvalues and eigenfunctions; linear systems; time-varying systems; PD-spectrum; associated PD-eigenvectors; control law design; exponentially stable linear time-varying systems; linearizable nonlinear time-varying systems; spectral Lyapunov function; stability assessment; Aerodynamics; Control system analysis; Control system synthesis; Control systems; Eigenvalues and eigenfunctions; Lyapunov method; Nonlinear control systems; Nonlinear systems; Time varying systems; Vehicle dynamics;
fLanguage
English
Publisher
ieee
Conference_Titel
American Control Conference, 2009. ACC '09.
Conference_Location
St. Louis, MO
ISSN
0743-1619
Print_ISBN
978-1-4244-4523-3
Electronic_ISBN
0743-1619
Type
conf
DOI
10.1109/ACC.2009.5159928
Filename
5159928
Link To Document