Stability of Non-Conservative Linear Gyroscopic Systems

The paper investigates the stability of linear non-conservative mechanical systemssubjected to potential. gyroscopic, circulatory forces and Rayleigh damping. Threestability theorems are proved by means of the Rayleigh quotients. The stabilitycriterions given by, the theorems are convenient and useful because they areindependent of the Rayleigh quotients.