Finite-Time Stability of Linear Differential Equations.

摘要

A unified approach to finite-time stability of linear autonomous differential equations is developed in this report. Linear algebraic machinery is used to derive new and computationally feasible results,and also to obtain elegant proofs of known theorems. Connections are made to the Liapunov-like theory of finite-time stability. Corresponding results are also derived for class of stochastic linear systems. (Author)