Lienard形非線形システムの安定性に関する一考察

抄録

This paper investigates the stability of a Lienard-type nonlinear system, utilizing the direct method of Lyapunov. The Lienard-type nonlinear system is given in a form of n second-order ordinary differential equations, which is a generalization of Lienard's equation. Noticing that the stability depends on the system structure, some stability criteria ate presented. Various Lyapunov functions are introduced in proving the theorems. Stability boundaries of the system are calculated by using such Lyapunov functions. To illustrate the proposed method, the results obtained are applied to an example system.