An easy-to-check necessary condition for exponential stability, with a prescribed convergence rate, for linear state space systems, is introduced. The case where this condition is sufficient as well, is characterized. As a by-product, this result suggests that, the notion of `slowly varying state-space systems', commonly used in literature, is mathematically not natural to the problem of exponential stability.
|Number of pages||2|
|Journal||Proceedings of the IEEE Conference on Decision and Control|
|State||Published - 1 Dec 1998|
|Event||Proceedings of the 1998 37th IEEE Conference on Decision and Control (CDC) - Tampa, FL, USA|
Duration: 16 Dec 1998 → 18 Dec 1998