Title
Stability Theorems for Delay Differential Inclusions.
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.
Year
DOI
Venue
2016
10.1109/TAC.2015.2507782
IEEE Trans. Automat. Contr.
Keywords
Field
DocType
Delays,Asymptotic stability,Stability criteria,Differential equations,Sun,Lyapunov methods
Differential inclusion,Differential equation,Mathematical optimization,Technical note,Control theory,Bounded set,Chain rule,Exponential stability,Differentiable function,Mathematics,Stability theory
Journal
Volume
Issue
ISSN
61
10
0018-9286
Citations 
PageRank 
References 
6
0.44
15
Authors
4
Name
Order
Citations
PageRank
Kun-Zhi Liu1515.56
Xi-Ming Sun285062.94
Jun Liu321520.63
Andrew R. Teel42847248.90