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19982023
most citedSmall gain theorems for large scale systems and construction of ISS Lyapunov functions

344 citations · 866 across the 34 of their papers we have counts for

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19 papers · 1 filter

math.OC2021★ 15 cited

Predictability and Fairness in Load Aggregation and Operations of Virtual Power Plants

Jakub Marecek, Michal Roubalik, Ramen Ghosh +2

In power systems, one wishes to regulate the aggregate demand of an ensemble of distributed energy resources (DERs), such as controllable loads and battery energy storage systems.…

math.OC2021

Multi-resource allocation for federated settings: A non-homogeneous Markov chain model

Syed Eqbal Alam, Fabian Wirth, Jia Yuan Yu

In a federated setting, agents coordinate with a central agent or a server to solve an optimization problem in which agents do not share their information with each other. Wirth an…

math.OC2020

The Convergence of Finite-Averaging of AIMD for Distributed Heterogeneous Resource Allocations

Syed Eqbal Alam, Fabian Wirth, Jia Yuan Yu +1

In several social choice problems, agents collectively make decisions over the allocation of multiple divisible and heterogeneous resources with capacity constraints to maximize ut…

math.OC2019★ 19 cited

Noncoercive Lyapunov functions for input-to-state stability of infinite-dimensional systems

B. Jacob, A. Mironchenko, J. R. Partington +1

We consider an abstract class of infinite-dimensional dynamical systems with inputs. For this class, the significance of noncoercive Lyapunov functions is analyzed. It is shown tha…

math.OC2019★ 38 cited

Local stabilization of an unstable parabolic equation via saturated controls

Andrii Mironchenko, Christophe Prieur, Fabian Wirth

We derive a saturated feedback control, which locally stabilizes a linear reaction-diffusion equation. In contrast to most other works on this topic, we do not assume the Lyapunov…

math.OC2018★ 22 cited

On the Ergodic Control of Ensembles

Andre R. Fioravanti, Jakub Marecek, Robert N. Shorten +2

Across smart-grid and smart-city application domains, there are many problems where an ensemble of agents is to be controlled such that both the aggregate behaviour and individual-…