Title :
Well-posedness for controlled nonlinear damped membranes with fixed boundary
Author :
Banks, H.T. ; Gilliam, D.S. ; Shubov, V.I.
Author_Institution :
Dept. of Math., North Carolina State Univ., Raleigh, NC, USA
Abstract :
Discusses the existence, uniqueness and regularity of weak solutions for a damped nonlinear hyperbolic equation in bounded domains subject to very general external (boundary) control. The form of the nonlinearity in this class includes as special cases those arising from nonlinear stress-strain laws which result in nonlinear stiffness terms in the equations
Keywords :
Galerkin method; damping; distributed parameter systems; hyperbolic equations; nonlinear control systems; controlled nonlinear damped membranes; damped nonlinear hyperbolic equation; existence; fixed boundary; general external boundary control; nonlinear stiffness; nonlinear stress-strain laws; nonlinearity; regularity; uniqueness; weak solutions; well-posedness; Actuators; Biomembranes; Capacitive sensors; Composite materials; Damping; Force sensors; Mathematics; Nonlinear equations; Piezoelectric materials; Stress control;
Conference_Titel :
Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
0-7803-2685-7
DOI :
10.1109/CDC.1995.478645
