Regularity of the Minimum Time and of Viscosity Solutions of Degenerate Eikonal Equations via Generalized Lie Brackets
Sign Up to like & getrecommendations! Published in 2019 at "Set-Valued and Variational Analysis"
DOI: 10.1007/s11228-020-00539-z
Abstract: In this paper we relax the current regularity theory for the eikonal equation by using the recent theory of set-valued iterated Lie brackets. We give sufficient conditions for small time local attainability of general, symmetric,… read more here.
Keywords: lie brackets; time; regularity; time viscosity ... See more keywords
Robust feedback stabilization by means of Lyapunov-like functions determined by Lie brackets
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DOI: 10.1016/j.jde.2021.03.048
Abstract: Abstract We use Lie brackets of unbounded vector fields to consider a dissipative relation that generalizes the differential inequality which defines classic control Lyapunov functions. Under minimal regularity assumptions, we employ locally semiconcave solutions of… read more here.
Keywords: means lyapunov; lyapunov like; feedback stabilization; stabilization means ... See more keywords
Quasi-Lie Brackets and the Breaking of Time-Translation Symmetry for Quantum Systems Embedded in Classical Baths
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DOI: 10.3390/sym10100518
Abstract: Many open quantum systems encountered in both natural and synthetic situations are embedded in classical-like baths. Often, the bath degrees of freedom may be represented in terms of canonically conjugate coordinates, but in some cases… read more here.
Keywords: quantum; quasi lie; lie brackets; time translation ... See more keywords