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
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;
Conference_Titel :
American Control Conference, 2009. ACC '09.
Conference_Location :
St. Louis, MO
Print_ISBN :
978-1-4244-4523-3
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2009.5159928
