574 citations · 2.1k across the 40 of their papers we have counts for
41 papers
Opinion Dynamics Models for Sentiment Evolution in Weibo Blogs
Yulong He, Anton V. Proskurnikov, Artem Sedakov
Online social media platforms enable influencers to distribute content and quickly capture audience reactions, significantly shaping their promotional strategies and advertising ag…
Regular Pairings for Non-quadratic Lyapunov Functions and Contraction Analysis
Anton V. Proskurnikov, Francesco Bullo
Recent studies on stability and contractivity have highlighted the importance of semi-inner products, which we refer to as pairings, associated with general norms. A pairing is a b…
Stability Properties of the Impulsive Goodwin's Oscillator in 1-cycle
Anton V. Proskurnikov, Alexander Medvedev
The Impulsive Goodwin's Oscillator (IGO) is a mathematical model of a hybrid closed-loop system. It arises by closing a special kind of continuous linear positive time-invariant sy…
Impulsive feedback control for dosing applications
Alexander Medvedev, Anton Proskurnikov, Zhanybai T. Zhusubaliyev
This paper addresses a design procedure of pulse-modulated feedback control solving a dosing problem defined for implementation in a manual mode. Discrete dosing, as a control stra…
Decentralized Optimization Over Slowly Time-Varying Graphs: Algorithms and Lower Bounds
Dmitry Metelev, Aleksandr Beznosikov, Alexander Rogozin +2
We consider a decentralized convex unconstrained optimization problem, where the cost function can be decomposed into a sum of strongly convex and smooth functions, associated with…
Design of the Impulsive Goodwin's Oscillator: A Case Study
Alexander Medvedev, Anton V. Proskurnikov, Zhanybai T. Zhusubaliyev
The impulsive Goodwin's oscillator (IGO) is a hybrid model composed of a third-order continuous linear part and a pulse-modulated feedback. This paper introduces a design problem o…
Non-Euclidean Monotone Operator Theory and Applications
Alexander Davydov, Saber Jafarpour, Anton V. Proskurnikov +1
While monotone operator theory is often studied on Hilbert spaces, many interesting problems in machine learning and optimization arise naturally in finite-dimensional vector space…
On the Benefit of Nonlinear Control for Robust Logarithmic Growth: Coin Flipping Games as a Demonstration Case
Anton V. Proskurnikov, B. Ross Barmish
The takeoff point for this paper is the voluminous body of literature addressing recursive betting games with expected logarithmic growth of wealth being the performance criterion.…
Cycles in Impulsive Goodwin's Oscillators of Arbitrary Order
Anton V. Proskurnikov, Håkan Runvik, Alexander Medvedev
Existence of periodical solutions, i.e. cycles, in the Impulsive Goodwin's Oscillator (IGO) with the continuous part of an arbitrary order m is considered. The original IGO with a…
The Yakubovich S-Lemma Revisited: Stability and Contractivity in Non-Euclidean Norms
Anton V. Proskurnikov, Alexander Davydov, Francesco Bullo
The celebrated S-Lemma was originally proposed to ensure the existence of a quadratic Lyapunov function in the Lur'e problem of absolute stability. A quadratic Lyapunov function is…
Reaching optimal distributed estimation through myopic self-confidence adaptation
Giacomo Como, Fabio Fagnani, Anton V. Proskurnikov
Consider discrete-time linear distributed averaging dynamics, whereby agents in a network start with uncorrelated and unbiased noisy measurements of a common underlying parameter (…
Control of Dynamic Financial Networks (The Extended Version)
Giuseppe Calafiore, Giulia Fracastoro, Anton V. Proskurnikov
The current global financial system forms a highly interconnected network where a default in one of its nodes can propagate to many other nodes, causing a catastrophic avalanche ef…
Non-Euclidean Monotone Operator Theory with Applications to Recurrent Neural Networks
Alexander Davydov, Saber Jafarpour, Anton V. Proskurnikov +1
We provide a novel transcription of monotone operator theory to the non-Euclidean finite-dimensional spaces and . We first establish properties of mappings…
A barrier function approach to constrained Pontryagin-based Nonlinear Model Predictive Control
Michele Pagone, Mattia Boggio, Carlo Novara +2
A Pontryagin-based approach to solve a class of constrained Nonlinear Model Predictive Control problems is proposed which employs the method of barrier functions for dealing with t…
Clearing Payments in Dynamic Financial Networks
Giuseppe C. Calafiore, Giulia Fracastoro, Anton V. Proskurnikov
This paper proposes a novel dynamical model for determining clearing payments in financial networks. We extend the classical Eisenberg-Noe model of financial contagion to multiple…
Non-Euclidean Contraction Analysis of Continuous-Time Neural Networks
Alexander Davydov, Anton V. Proskurnikov, Francesco Bullo
Critical questions in dynamical neuroscience and machine learning are related to the study of continuous-time neural networks and their stability, robustness, and computational eff…
Robust Implicit Networks via Non-Euclidean Contractions
Saber Jafarpour, Alexander Davydov, Anton V. Proskurnikov +1
Implicit neural networks, a.k.a., deep equilibrium networks, are a class of implicit-depth learning models where function evaluation is performed by solving a fixed point equation.…
Delay Robustness of Consensus Algorithms: Beyond The Uniform Connectivity (Extended Version)
Anton V. Proskurnikov, Giuseppe Carlo Calafiore
Consensus of autonomous agents is a benchmark problem in multi-agent control. In this paper, we consider continuous-time averaging consensus policies (or Laplacian flows) and their…
Optimal Clearing Payments in a Financial Contagion Model
Giuseppe Calafiore, Giulia Fracastoro, Anton V. Proskurnikov
Financial networks are characterized by complex structures of mutual obligations. These obligations are fulfilled entirely or in part (when defaults occur) via a mechanism called c…
New Results on Delay Robustness of Consensus Algorithms
Anton V. Proskurnikov, Guiseppe Calafiore
Consensus of autonomous agents is a benchmark problem in cooperative control. In this paper, we consider standard continuous-time averaging consensus policies (or Laplacian flows)…
Learning hidden influences in large-scale dynamical social networks: A data-driven sparsity-based approach
Chiara Ravazzi, Fabrizio Dabbene, Constantino Lagoa +1
Interpersonal influence estimation from empirical data is a central challenge in the study of social structures and dynamics. Opinion dynamics theory is a young interdisciplinary s…
Robust Output Regulation: Optimization-Based Synthesis and Event-Triggered Implementation
Mohammad Saeed Sarafraz, Anton V. Proskurnikov, Mohammad Saleh Tavazoei +1
We investigate the problem of practical output regulation, i.e., to design a controller that brings the system output in the vicinity of a desired target value while keeping the ot…
Recurrent Averaging Inequalities in Multi-Agent Control and Social Dynamics Modeling
Anton V. Proskurnikov, Giuseppe Calafiore, Ming Cao
Many multi-agent control algorithms and dynamic agent-based models arising in natural and social sciences are based on the principle of iterative averaging. Each agent is associate…
Macroscopic Noisy Bounded Confidence Models with Distributed Radical Opinions
M. A. S. Kolarijani, A. V. Proskurnikov, P. Mohajerin Esfahani
In this article, we study the nonlinear Fokker-Planck (FP) equation that arises as a mean-field (macroscopic) approximation of bounded confidence opinion dynamics, where opinions a…