Stability and robustness for saddle-point dynamics through monotone mappings
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Publication:1678569
DOI10.1016/j.sysconle.2017.07.014zbMath1375.93101OpenAlexW2752509387MaRDI QIDQ1678569
Publication date: 17 November 2017
Published in: Systems \& Control Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.sysconle.2017.07.014
robustnessmonotone mappingssaddle-point dynamicspointwise asymptotic stabilityconvex-concave functions
Control/observation systems governed by partial differential equations (93C20) Linear systems in control theory (93C05) Asymptotic stability in control theory (93D20) Robust stability (93D09)
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Cites Work
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- Approximating saddle points as equilibria of differential inclusions
- Multivalued perturbations of a saddle dynamics
- Stability of primal-dual gradient dynamics and applications to network optimization
- Set-valued Lyapunov functions for difference inclusions
- A continuous algorithm for finding the saddle points of convex-concave functions
- Asymptotic convergence of constrained primal-dual dynamics
- Asymptotic stability and smooth Lyapunov functions
- On the emergence of oscillations in distributed resource allocation
- Existence and asymptotic behaviour for solutions of dynamical equilibrium systems
- Robustness of stability through necessary and sufficient Lyapunov-like conditions for systems with a continuum of equilibria
- Set-valued mappings and enlargement of monotone operators.
- On the equivalence between complementarity systems, projected systems and differential inclusions
- On the stable equilibrium points of gradient systems
- Nonlinear semigroups in Hilbert space
- Nonlinear semigroups and evolution equations
- An existence theorem for a class of differential equations with multivalued right-hand side
- Saddle-Point Dynamics: Conditions for Asymptotic Stability of Saddle Points
- Evolution equations for maximal monotone operators: asymptotic analysis in continuous and discrete time
- Solutions of Saddle Value Problems by Differential Equations
- Continuous algorithms for solution of convex optimization problems and finding saddle points of contex-coneave functions with the use of projection operations
- Variational Analysis
- Nontangency-Based Lyapunov Tests for Convergence and Stability in Systems Having a Continuum of Equilibria
- A smooth Lyapunov function from a class-${\mathcal{KL}}$ estimate involving two positive semidefinite functions
- The Role of Convexity in Saddle-Point Dynamics: Lyapunov Function and Robustness
- Semistability, Finite-Time Stability, Differential Inclusions, and Discontinuous Dynamical Systems Having a Continuum of Equilibria
- Gradient Methods for Constrained Maxima
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