Set propagation techniques for reachability analysis

M Althoff, G Frehse, A Girard - Annual Review of Control …, 2021 - annualreviews.org
Reachability analysis consists in computing the set of states that are reachable by a
dynamical system from all initial states and for all admissible inputs and parameters. It is a …

Fast and flexible multiagent decision-making

NE Leonard, A Bizyaeva, A Franci - Annual Review of Control …, 2024 - annualreviews.org
A multiagent system should be capable of fast and flexible decision-making to successfully
manage the uncertainty, variability, and dynamic change encountered when operating in the …

Online verification of automated road vehicles using reachability analysis

M Althoff, JM Dolan - IEEE Transactions on Robotics, 2014 - ieeexplore.ieee.org
An approach for formally verifying the safety of automated vehicles is proposed. Due to the
uniqueness of each traffic situation, we verify safety online, ie, during the operation of the …

[책][B] Stability, control, and computation for time-delay systems: an eigenvalue-based approach

W Michiels, SI Niculescu - 2014 - SIAM
The interconnection between two (or more) physical systems is always accompanied by
transfer phenomena (material, energy, information) such as transport and propagation …

Detection of multistability, bifurcations, and hysteresis in a large class of biological positive-feedback systems

D Angeli, JE Ferrell Jr… - Proceedings of the …, 2004 - National Acad Sciences
It is becoming increasingly clear that bistability (or, more generally, multistability) is an
important recurring theme in cell signaling. Bistability may be of particular relevance to …

Stability of continuous-time distributed consensus algorithms

L Moreau - 2004 43rd IEEE conference on decision and control …, 2004 - ieeexplore.ieee.org
We study the stability properties of linear time-varying systems in continuous time whose
system matrix is Metzler with zero row sums. This class of systems arises naturally in the …

A differential Lyapunov framework for contraction analysis

F Forni, R Sepulchre - IEEE transactions on automatic control, 2013 - ieeexplore.ieee.org
Lyapunov's second theorem is an essential tool for stability analysis of differential equations.
The paper provides an analog theorem for incremental stability analysis by lifting the …

Formal methods to comply with rules of the road in autonomous driving: State of the art and grand challenges

N Mehdipour, M Althoff, RD Tebbens, C Belta - Automatica, 2023 - Elsevier
We provide a review of recent work on formal methods for autonomous driving. Formal
methods have been traditionally used to specify and verify the behavior of computer …

Substability and substabilization: Control of subfully actuated systems

GR Duan - IEEE Transactions on Cybernetics, 2023 - ieeexplore.ieee.org
The region of attraction of the Lyapunov asymptotic stability at the origin is defined to be a
ball centered at the origin, which is clearly simply connected and also bounded in the local …

Distributed control of positive systems

A Rantzer - 2011 50th IEEE conference on decision and control …, 2011 - ieeexplore.ieee.org
Stabilization and optimal control is studied for state space systems with nonnegative
coefficients (positive systems). In particular, we show that a stabilizing distributed feedback …