Name
Abstract | ||
|---|---|---|
Several theorems, inspired by the Krasovskii- LaSalle invariance principle, to establish “lim inf” convergence results are presented in a unified framework. These properties are useful to “describe” the oscillatory behavior of the solutions of dynamical systems. The theorems resemble “lim inf” Matrosov and Small-gain theorems and are based on a “lim inf” Barbalat’s Lemma. Additional technical assumptions to have “lim” convergence are given: the “lim inf” / “lim” relation is discussed indepth and the role of some of the assumptions is illustrated by means of examples. |
Year | DOI | Venue |
|---|---|---|
2016 | 10.1109/TAC.2015.2444132 | IEEE Trans. Automat. Contr. |
Keywords | Field | DocType |
Convergence,Linear matrix inequalities,Asymptotic stability,Lyapunov methods,Nonlinear systems,Trajectory,Electronic mail | Convergence (routing),Lyapunov function,Mathematical optimization,Invariance principle,Invariant (physics),Control theory,Exponential stability,Dynamical systems theory,Small-gain theorem,Mathematics,Lemma (mathematics) | Journal |
Volume | Issue | ISSN |
PP | 99 | 0018-9286 |
Citations | PageRank | References |
2 | 0.55 | 13 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Scarciotti, G. | 1 | 2 | 0.55 |
| Praly, L. | 2 | 1835 | 364.39 |
| A. Astolfi | 3 | 278 | 39.85 |