Title :
Bounded-input bounded-output stability of the Josephson junction represented by the perturbed Sine-Gordon equation
Author :
Shahruz, S.M. ; Krishna, L.G.
Author_Institution :
Berkeley Eng. Res. Inst., CA, USA
Abstract :
In this paper, the superconducting Josephson junction represented by the perturbed sine-Gordon equation is considered. The bounded-input bounded-output stability of this nonlinear system is established by showing that an energy-like (Lyapunov) function corresponding to the junction is bounded
Keywords :
Josephson effect; nonlinear differential equations; partial differential equations; sine-Gordon equation; stability; superconducting junction devices; Lyapunov function; bounded-input bounded-output stability; energy-like function; nonlinear partial differential equation; nonlinear system; perturbed Sine-Gordon equation; superconducting Josephson junction; Boundary conditions; Josephson junctions; Microelectronics; Nonlinear equations; Nonlinear systems; Partial differential equations; Physics; Power engineering and energy; Stability; Superconductivity;
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.1995.479181
