Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9498181 | Linear Algebra and its Applications | 2005 | 11 Pages |
Abstract
A strategy is presented for determining if the growth of solutions to a non-autonomous linear differential equation satisfies a given bound. In the case where the given bound is negative, the approach gives a constructive method for finding a Lyapunov function and showing that the system is stable. The strategy takes advantage of the sign pattern of the coefficient matrix and is demonstrated with an example.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
C. Connell McCluskey,