ある分布定数系の安定解析

抄録

In this paper, the problem of stability in aero-elastic systems is formulated in the framework of Lyapunov's stability theory.
The system to be analized may be expressed by a dynamical equation (linear partial differential equation) associated with boundary conditions, the solution of which forms a non-selfadjoint boundary value problem.
This type of system is called non-conservative from a physical viewpoint, and the system's Lyapunov function cannot always be expressed simply by the energy function of the system.
In this paper, a type of Lyapunov function is presented and two specific examples are worked out so as to suggest that the Lyapunov's method enables one to deal with the abovementioned dynamical systems without resorting to conventional methods.