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Finding separable certificates of stability is important for tractability of analysis methods for large-scale networked systems. In this paper we consider the question of when a nonlinear system which is contracting, i.e. all solutions are…

Systems and Control · Computer Science 2017-04-11 Ian R. Manchester , Jean-Jacques E. Slotine

Adhesion interactions mediated by multiple bond types are relevant for many biological and soft matter systems, including the adhesion of biological cells and functionalized colloidal particles to various substrates. To elucidate advantages…

Biological Physics · Physics 2020-10-21 Anil K. Dasanna , Gerhard Gompper , Dmitry A. Fedosov

We consider an asymmetric control of platoons of identical vehicles with nearest-neighbor interaction. Recent results show that if the vehicle uses different asymmetries for position and velocity errors, the platoon has a short transient…

Systems and Control · Computer Science 2016-04-05 Ivo Herman , Dan Martinec , J. J. P. Veerman

This paper considers a parallel system of queues fed by independent arrival streams, where the service rate of each queue depends on the number of customers in all of the queues. Necessary and sufficient conditions for the stability of the…

Probability · Mathematics 2010-01-12 Sem Borst , Matthieu Jonckheere , Lasse Leskelä

We provide Lyapunov-like characterizations of boundedness and convergence of non-trivial solutions for a class of systems with unstable invariant sets. Examples of systems to which the results may apply include interconnections of stable…

Dynamical Systems · Mathematics 2013-06-12 A. Gorban , I. Tyukin , E. Steur , H. Nijmeijer

We consider the problem of adaptive stabilization for discrete-time, multi-dimensional linear systems with bounded control input constraints and unbounded stochastic disturbances, where the parameters of the true system are unknown. To…

Systems and Control · Electrical Eng. & Systems 2023-04-04 Seth Siriya , Jingge Zhu , Dragan Nešić , Ye Pu

Autonomous vehicular platoons will play an important role in improving on-road safety in tomorrow's smart cities. Vehicles in an autonomous platoon can exploit vehicle-to-vehicle (V2V) communications to collect information, such as velocity…

Information Theory · Computer Science 2019-07-22 Tengchan Zeng , Omid Semiari , Walid Saad , Mehdi Bennis

In this paper, we study a class of multi-order fractional nonlinear delay systems. Our main contribution is to show the (local or global) Mittag-Leffler stability of systems when some structural assumptions are imposed on the "vector…

Dynamical Systems · Mathematics 2024-10-15 L. V. Thinh , H. T. Tuan

We characterise asymptotic stability of port-Hamiltonian systems by means of matrix conditions using well-known resolvent criteria from $C_0$-semigroup theory. The idea of proof is based on a recent characterisation of exponential stability…

Analysis of PDEs · Mathematics 2023-12-12 Marcus Waurick , Hans Zwart

Cooperative Adaptive Cruise Control (CACC) is a well-studied technology for forming string-stable vehicle platoons. Ensuring collision avoidance is particularly difficult in CACC due to the small desired inter-vehicle spacing. We propose a…

Systems and Control · Electrical Eng. & Systems 2026-05-13 Sebastian Mair , Matthias Althoff

In this paper, we study a fault-tolerant control for systems consisting of multiple homogeneous components such as parallel processing machines. This type of system is often more robust to uncertainty compared to those with a single…

Optimization and Control · Mathematics 2020-12-03 Jalal Arabneydi , Amir G. Aghdam

We consider the set of bimodal linear systems consisting of two linear dynamics acting on each side of a given hyperplane, assuming continuity along the separating hyperplane. Focusing on the unobservable planar ones, we obtain a simple…

Dynamical Systems · Mathematics 2012-01-04 Josep Ferrer , M. Dolors Magret , Juan R. Pacha , Marta Peña

Many multi-agent systems in nature are comprised of agents that interact with, and respond to, the dynamics of their environment. In this paper, we approach the study of such agent-environment interactions through the study of passively…

Chaotic Dynamics · Physics 2021-05-04 Blake Buchanan , Matthew Travers , Howie Choset , Scott Kelly

The study of the interplay between the structure and dynamics of complex multilevel systems is a pressing challenge nowadays. In this paper, we use a semi-annealed approximation to study the stability properties of Random Boolean Networks…

Physics and Society · Physics 2012-10-31 Emanuele Cozzo , Alex Arenas , Yamir Moreno

The positive impacts of platooning on travel time reliability, congestion, emissions, and energy consumption have been shown for homogeneous roadway segments. However, speed limit changes frequently throughout the transportation network,…

Systems and Control · Computer Science 2017-09-29 Sina Arefizadeh , Alireza Talebpour , Igor Zelenko

This paper proposes an approach to addresses the control challenges posed by a fault-induced uncertainty in both the dynamics and control input effectiveness of a class of hierarchical nonlinear systems in which the high-level dynamics is…

Optimization and Control · Mathematics 2021-08-10 Sina Ameli , Olugbenga Moses Anubi

In the present paper, a theorem, which determines the linear stability of multibreathers in Klein-Gordon chains, is proven. Specifically, it is shown that for soft nonlinearities, and positive inter-site coupling, only structures with…

Pattern Formation and Solitons · Physics 2015-05-13 Vassilis Koukouloyannis , Panayotis G. Kevrekidis

Despite growing interest in vehicle platooning research, the effect of communication capability between platoons is not investigated to a depth of depth. In this paper, we extend a single-platoon car-following (CF) model to multi-platoon CF…

Systems and Control · Electrical Eng. & Systems 2025-02-27 Shouwei Hui , Michael Zhang

The emerging connected and automated vehicle technologies allow vehicles to perceive and process traffic information in a wide spatial range. Modeling nonlocal interactions between connected vehicles and analyzing their impact on traffic…

Analysis of PDEs · Mathematics 2023-07-06 Kuang Huang , Qiang Du

This paper focuses on the problem of constructing time-varying feedback laws that asymptotically stabilize a given part of the state variables for nonlinear control-affine systems. It is assumed that the class of systems under consideration…

Optimization and Control · Mathematics 2021-05-21 Victoria Grushkovskaya , Alexander Zuyev