Release Time:2019-03-13  Hits:

Indexed by: Journal Article

Date of Publication: 2016-10-01

Journal: IEEE TRANSACTIONS ON AUTOMATIC CONTROL

Included Journals: EI、SCIE

Volume: 61

Issue: 10

Page Number: 3215-3220

ISSN: 0018-9286

Key Words: Adaptive control; delay differential inclusions; invariance-like theorems; Krasovskii functional

Abstract: This technical note addresses stability problems of delay differential inclusions. A chain rule is proposed for a wide class of Lyapunov-Krasovskii functionals which are not necessarily invariantly differentiable. We also obtain an invariance-like theorem, where the derivative of the candidate functional is bounded above by a continuous negative semidefinite function. Several examples are given to show the effectiveness of the results.