New results on the structure of density functions for almost global stability analysis of nonlinear systems are discussed. In particular, it is shown how the smoothness constraint poses, under certain technical assumptions, a serious challenge in the construction of density functions which are almost everywhere expanding along the flow.
Some remarks on density functions for dual Lyapunov methods / Angeli, D. - CD-ROM. - (2003), pp. 5080-5082. (Intervento presentato al convegno IEEE Conference on Decision and Control) [10.1109/CDC.2003.1272440].
Some remarks on density functions for dual Lyapunov methods
Angeli, D
2003
Abstract
New results on the structure of density functions for almost global stability analysis of nonlinear systems are discussed. In particular, it is shown how the smoothness constraint poses, under certain technical assumptions, a serious challenge in the construction of density functions which are almost everywhere expanding along the flow.
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