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• W3080294487 abstract "In part I we considered the problem of convergence to a saddle point of a concave-convex function in C <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>2</sup> via gradient dynamics and an exact characterization was given to their asymptotic behavior. In part II we consider a general class of subgradient dynamics that provide a restriction in a convex domain. We show that despite the nonlinear and nonsmooth character of these dynamics their ω-limit set is comprised of solutions to only linear ODEs. In particular, we show that the latter are solutions to subgradient dynamics on affine subspaces which is a smooth class of dynamics the asymptotic properties of which have been exactly characterized in part I. Various convergence criteria are formulated using these results and several examples and applications are also discussed throughout the manuscript." @default.
• W3080294487 created "2020-09-01" @default.
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• W3080294487 date "2021-07-01" @default.
• W3080294487 modified "2023-09-23" @default.
• W3080294487 title "Stability and Instability in Saddle Point Dynamics Part II: The Subgradient Method" @default.
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• W3080294487 doi "https://doi.org/10.1109/tac.2020.3019381" @default.
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