Title :
Bounded-input bounded-output stability of a damped nonlinear string
Author :
Shahruz, Shahram M.
Author_Institution :
Berkeley Eng. Res. Inst., CA, USA
Abstract :
In this paper, we prove that the displacement of a damped nonlinear string under bounded distributed forces is bounded. The proof is achieved by showing that an energy-like (Lyapunov) function corresponding to the string is bounded
Keywords :
damping; distributed parameter systems; elasticity; input-output stability; nonlinear differential equations; nonlinear systems; partial differential equations; vibrations; Lyapunov function; bounded distributed forces; bounded-input bounded-output stability; damped nonlinear string; displacement; energy-like function; Boundary conditions; Damping; Partial differential equations; Power engineering and energy; Stability;
Conference_Titel :
Decision and Control, 1996., Proceedings of the 35th IEEE Conference on
Conference_Location :
Kobe
Print_ISBN :
0-7803-3590-2
DOI :
10.1109/CDC.1996.573490
