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Indexed by:期刊论文

Date of Publication:2016-10-01

Journal:IEEE TRANSACTIONS ON AUTOMATIC CONTROL

Included Journals:SCIE、EI

Volume:61

Issue:10

Page Number:3215-3220

ISSN No.: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.