USING MULTICOMPONENT LYAPUNOV FUNCTIONS TO ANALYZE THE ABSOLUTE PARAMETRIC STABILITY OF SINGULARLY PERTURBED UNCERTAIN MECHANICAL SYSTEMS

摘要

The absolute parametric stability of singularly perturbed mechanical systems is analyzed using multicomponent Lyapunov functions. The case where the system cannot be decomposed into "fast" and "slow" subsystems is considered. The sufficient conditions and domains of absolute parametric stability of such systems are established.