F
Frank H. Clarke
Researcher at Centre de Recherches Mathématiques
Publications - 95
Citations - 17803
Frank H. Clarke is an academic researcher from Centre de Recherches Mathématiques. The author has contributed to research in topics: Optimal control & Lipschitz continuity. The author has an hindex of 35, co-authored 95 publications receiving 16916 citations. Previous affiliations of Frank H. Clarke include Université de Montréal & University of Lyon.
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Book
Optimization and nonsmooth analysis
TL;DR: The Calculus of Variations as discussed by the authors is a generalization of the calculus of variations, which is used in many aspects of analysis, such as generalized gradient descent and optimal control.
Book
Nonsmooth analysis and control theory
TL;DR: Proximal Calculus in Hilbert Space and Generalized Gradients in Banach Space are studied in this article for a short course in control theory in the context of control theory.
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Generalized gradients and applications
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Asymptotic controllability implies feedback stabilization
TL;DR: It is shown that every asymptotically controllable system can be globally stabilized by means of some (discontinuous) feedback law, based on pointwise optimization of a smoothed version of a control-Lyapunov function, iteratively sending trajectories into smaller and smaller neighborhoods of a desired equilibrium.
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A New Approach to Lagrange Multipliers
TL;DR: The main analytical tool in this paper is an extension to infinite-dimensional spaces of the “generalized gradient” previously introduced by the author, and the calculus of the generalized gradient is explored as a preliminary step.