Accession Number : AD0727570

Title :   Finite-Time Stability of Linear Differential Equations.

Descriptive Note : Final rept.,

Corporate Author : NAVAL RESEARCH LAB WASHINGTON D C MATHEMATICS RESEARCH CENTER

Personal Author(s) : Weiss,Leonard ; Lee,Jong-Sen

Report Date : 15 JUL 1971

Pagination or Media Count : 14

Abstract : 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)

Descriptors :   (*DIFFERENTIAL EQUATIONS, STABILITY), CONTROL SYSTEMS, MATHEMATICAL MODELS, STOCHASTIC PROCESSES, LINEAR SYSTEMS, INEQUALITIES, THEOREMS

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE