Title :
Global Lyapunov stabilization of a nonlinear distributed parameter system
Author :
Byrnes, C.I. ; Gilliam, D.S. ; Shubov, V.I.
Author_Institution :
Dept. of Syst. Sci. & Math., Washington Univ., St. Louis, MO, USA
Abstract :
For a boundary controlled viscous Burgers´ equation on a finite interval the authors demonstrate the global existence of solutions for arbitrary initial data and in the absence of external disturbances. In this case the authors are able to establish the existence of a locally compact global attractor for the dynamics
Keywords :
Lyapunov methods; distributed parameter systems; nonlinear control systems; stability; boundary controlled viscous Burgers´ equation; dynamics; finite interval; global Lyapunov stabilization; locally compact global attractor; nonlinear distributed parameter system; Control systems; Distributed control; Distributed parameter systems; Feedback; Navier-Stokes equations; Nonlinear control systems; Nonlinear equations; Open loop systems; Shape control; State-space methods;
Conference_Titel :
Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on
Conference_Location :
Lake Buena Vista, FL
Print_ISBN :
0-7803-1968-0
DOI :
10.1109/CDC.1994.411179
