Title :
Bounded-input bounded-output stability of a damped nonlinear string
Author_Institution :
Berkeley Res. Inst., CA, USA
fDate :
8/1/1996 12:00:00 AM
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; input-output stability; nonlinear differential equations; partial differential equations; Lyapunov function; bounded-input bounded-output stability; damped nonlinear string; displacement; energy-like function; Boundary conditions; Damping; Dynamic programming; Investments; Optimal control; Partial differential equations; Stability; Stochastic processes; Sufficient conditions; Taylor series;
Journal_Title :
Automatic Control, IEEE Transactions on
