Abstract | ||
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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 |
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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 Liu | 1 | 51 | 5.56 |
Xi-Ming Sun | 2 | 850 | 62.94 |
Jun Liu | 3 | 215 | 20.63 |
Andrew R. Teel | 4 | 2847 | 248.90 |