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math.OC2026

String stability and guaranteed safety via funnel cruise control for vehicle platoons

Thomas Berger, Bart Besselink

We study decentralized control strategies for platoons of autonomous vehicles with heterogeneous and nonlinear dynamics. Based on ideas from funnel control, we present a novel dece…

math.OC2026

Convergence of energy-based learning in linear resistive networks

Anne-Men Huijzer, Thomas Chaffey, Bart Besselink +1

Energy-based learning algorithms are alternatives to backpropagation and are well-suited to distributed implementations in analog electronic devices. However, a rigorous theory of…

math.OC2025

Learning in Memristive Neural Networks

H. M. Heidema, H. J. van Waarde, B. Besselink

Memristors are nonlinear two-terminal circuit elements whose resistance at a given time depends on past electrical stimuli. Recently, networks of memristors have received attention…

math.OC2025

Singular networks and ultrasensitive terminal behaviors

Alessio Franci, Bart Besselink, Arjan van der Schaft

Negative conductance elements are key to shape the input-output behavior at the terminals of a network through localized positive feedback amplification. The balance of positive an…

math.OC2024

Learning in memristive electrical circuits

Marieke Heidema, Henk van Waarde, Bart Besselink

Memristors are nonlinear two-terminal circuit elements whose resistance at a given time depends on past electrical stimuli. Recently, networks of memristors have received attention…

math.OC2024

Kron reduction of nonlinear networks

Arjan van der Schaft, Bart Besselink, Anne-Men Huijzer

Kron reduction is concerned with the elimination of interior nodes of physical network systems such as linear resistor electrical circuits. In this paper it is shown how this can b…