8 citations · 17 across the 16 of their papers we have counts for
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Regularized Model Predictive Control via Contractivity and Implicit Lur'e Analysis
Ryotaro Shima, Anand Gokhale, Alexander Davydov +1
This paper develops a contraction-based stability analysis for regularized model predictive control (MPC), whose feedback law is defined implicitly by a finite-horizon optimal cont…
An Energy-Based Mechanism for Compositional Behavior
Francesca Rossi, Veronica Centorrino, Francesco Bullo +1
Flexible intelligence relies on the ability to reuse previously acquired behaviors and combine them differently as circumstances change. In biological and artificial systems, this…
Contractivity Analysis and Control Design for Lur'e Systems: Lipschitz, Incrementally Sector Bounded, and Monotone Nonlinearities
Ryotaro Shima, Alexander Davydov, Francesco Bullo
In this paper, we study the contractivity of Lur'e dynamical systems whose nonlinearity is either Lipschitz, incrementally sector bounded, or monotone. We consider both the discret…
Proximal Gradient Dynamics and Feedback Control for Equality-Constrained Composite Optimization
Veronica Centorrino, Francesca Rossi, Francesco Bullo +1
This paper studies equality-constrained composite minimization problems. This class of problems, capturing regularization terms and inequality constraints, naturally arises in a wi…
Proximal Gradient Dynamics: Monotonicity, Exponential Convergence, and Applications
Anand Gokhale, Alexander Davydov, Francesco Bullo
In this letter we study the proximal gradient dynamics. This recently-proposed continuous-time dynamics solves optimization problems whose cost functions are separable into a nonsm…
Exponential Stability of Parametric Optimization-Based Controllers via Lur'e Contractivity
Alexander Davydov, Francesco Bullo
In this letter, we investigate sufficient conditions for the exponential stability of LTI systems driven by controllers derived from parametric optimization problems. Our primary f…
On Weakly Contracting Dynamics for Convex Optimization
Veronica Centorrino, Alexander Davydov, Anand Gokhale +2
We analyze the convergence behavior of \emph{globally weakly} and \emph{locally strongly contracting} dynamics. Such dynamics naturally arise in the context of convex optimization…
Contractivity of Distributed Optimization and Nash Seeking Dynamics
Anand Gokhale, Alexander Davydov, Francesco Bullo
In this letter, we study distributed optimization and Nash equilibrium-seeking dynamics from a contraction theoretic perspective. Our first result is a novel bound on the logarithm…