Stability Criterion for Nonsmooth Systems and Nash Equilibrium Seeking via Projected Gradient Dynamics
Sign Up to like & getrecommendations! Published in 2017 at "IFAC-PapersOnLine"
DOI: 10.1016/j.ifacol.2017.08.2023
Abstract: Abstract We derive a novel stability criterion for nonsmooth dynamical systems by virtue of a new set-valued Lie derivative of nonsmooth Lyapunov functions. This set-valued Lie derivative requires no computation of generalized gradients. Instead, it… read more here.
Keywords: criterion; projected gradient; stability criterion; stability ... See more keywords
Gradient-dynamics model for liquid drops on elastic substrates.
Sign Up to like & getrecommendations! Published in 2021 at "Soft matter"
DOI: 10.1039/d1sm01032h
Abstract: The wetting of soft elastic substrates exhibits many features that have no counterpart on rigid surfaces. Modelling the detailed elastocapillary interactions is challenging, and has so far been limited to single contact lines or single… read more here.
Keywords: dynamics model; elastic substrates; liquid drops; drops elastic ... See more keywords
Gradient dynamics in reinforcement learning.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review. E"
DOI: 10.1103/physreve.106.025315
Abstract: Despite the success achieved by the analysis of supervised learning algorithms in the framework of statistical mechanics, reinforcement learning has remained largely untouched by physicists. Here we move towards closing the gap by analyzing the… read more here.
Keywords: reinforcement learning; equation; dynamics reinforcement; gradient ... See more keywords
On the Exponential Stability of Primal-Dual Gradient Dynamics
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DOI: 10.1109/lcsys.2018.2851375
Abstract: Continuous time primal-dual gradient dynamics (PDGD) that find a saddle point of a Lagrangian of an optimization problem have been widely used in systems and control. While the global asymptotic stability of such dynamics has… read more here.
Keywords: dual gradient; primal dual; stability; gradient dynamics ... See more keywords
Finite-Time Convergent Primal–Dual Gradient Dynamics With Applications to Distributed Optimization
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Cybernetics"
DOI: 10.1109/tcyb.2022.3179519
Abstract: This article studies the finite-time (FT) convergence of a fast primal–dual gradient dynamics (PDGD), called FT-PDGD, for solving constrained optimization with general constraints and cost functions. Based on the nonsmooth analysis and augmented Lagrangian function,… read more here.
Keywords: primal dual; finite time; dual gradient; optimization ... See more keywords