Article
Automation & Control Systems
Miel Sharf, Daniel Zelazo
Summary: Fault detection and isolation is an engineering area that focuses on designing online protocols to identify, locate, and overcome faults in systems. This study considers multi-agent systems and simulates communication failures by removing links in the underlying graph. By studying the steady-state outputs, the researchers differentiate between faultless and faulty systems and propose a convergence assertion protocol for detecting and isolating communication faults. The study also constructs two data-based convergence assertion protocols and provides a case study to demonstrate the results.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2022)
Article
Engineering, Electrical & Electronic
Shidong Zhai, Wei Xing Zheng
Summary: This paper investigates the stability issue of cluster synchronization manifold in networks of diffusively-coupled nonlinear system with directed topology. Theoretical findings are validated by numerical examples about coupled Lorenz-like system and coupled Hopfield neural network, respectively.
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS
(2023)
Article
Physics, Mathematical
Eddie Nijholt, Tiago Pereira, Fernando C. Queiroz, Dmitry Turaev
Summary: We study emergent oscillatory behavior in networks of diffusively coupled nonlinear ordinary differential equations. We give general conditions for the existence of chaotic network dynamics under homogeneous diffusive coupling for any network configuration. Our method is based on the theory of local bifurcations developed for diffusively coupled networks. In particular, we introduce the class of versatile network configurations and prove that the Taylor coefficients of the reduction to the center manifold can take any given value for any versatile network.
COMMUNICATIONS IN MATHEMATICAL PHYSICS
(2023)
Article
Automation & Control Systems
Miel Sharf, Anne Koch, Daniel Zelazo, Frank Allgoewer
Summary: In this article, we develop a data-based controller design framework for diffusively coupled systems, ensuring convergence to an F-neighborhood of the desired formation. The controller consists of a fixed controller with adjustable gain on each edge. By utilizing passivity theory and network optimization, we not only prove the existence of a gain that achieves the desired formation control goal, but also present a data-based method to determine an upper bound for this gain.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2022)
Article
Automation & Control Systems
E. M. M. Kivits, Paul M. J. van den Hof
Summary: Physical dynamic networks consist of interconnections of physical components described by diffusive couplings, which implies symmetric cause-effect relationships and undirected graph representation. This article demonstrates how prediction error identification methods for linear time-invariant systems in polynomial form can be used to identify parameters and interconnection structure of diffusively coupled networks consistently. Additionally, a multistep least squares convex optimization algorithm is developed to solve the resulting nonconvex optimization problem from the identification method.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2023)
Article
Mathematics, Applied
Wei Zou, Yuxuan Chen, D. V. Senthilkumar, Juergen Kurths
Summary: This study analyzes the phenomenon of oscillation quenching in diffusively coupled dynamical networks with inertia effects, and uncovers that even small inertia is capable of eradicating the onset of oscillation quenching.
Article
Physics, Fluids & Plasmas
Ria Ghosh, Shakti N. Menon
Summary: This paper investigates the dynamics of coupled cell assemblies to understand the spontaneous generation of electrical activity in tissues without specialized pacemaker cells. The findings demonstrate that these assemblies exhibit a wide range of behaviors, including chaos, but when embedded in a lattice, they produce spatial-temporal patterns corresponding to quiescent states or synchronized oscillations. These patterns can be reproduced by a simplified model with only excitatory and oscillatory elements.
Article
Mathematics, Applied
Mahtab Mehrabbeik, Sajad Jafari, Riccardo Meucci, Matjaz Perc
Summary: This paper studies the synchronization of globally coupled identical laser models via linear and nonlinear forms of diffusive couplings. The results show that complete synchronization can be achieved in laser models under linear diffusive function but not under nonlinear diffusive function. Multistability is observed in different network states such as cluster synchronization, chimera, and solitary states.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2023)
Article
Automation & Control Systems
Saber Jafarpour, Pedro Cisneros-Velarde, Francesco Bullo
Summary: In this paper, we develop two generalizations of contraction theory, namely, semi-contraction and weak-contraction theory. We propose a geometric framework for semi-contraction theory using the notion of seminorm and introduce matrix semimeasures to characterize their properties. For weakly contracting systems, we prove a dichotomy for the asymptotic behavior of their trajectories and novel sufficient conditions for convergence to an equilibrium. Moreover, we show that every trajectory of a doubly contracting system, i.e., a system that is both weakly and semi-contracting, converges to an equilibrium point. Lastly, our results are applied to various important network systems and provide a sharper sufficient condition for synchronization in diffusively coupled systems.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2022)
Article
Physics, Fluids & Plasmas
M. Manoranjani, D. Senthilkumar, Wei Zou, V. K. Chandrasekar
Summary: This paper investigates the influence of a limiting factor in the intrinsic variable on oscillatory states. Previous studies have shown that the factor can facilitate the manifestation of stable oscillatory states, while the results of this study demonstrate that the same factor can promote the manifestation of stable steady states by destabilizing the stable oscillatory states. Specifically, the factor facilitates the occurrence of nontrivial amplitude death and symmetry-breaking oscillation death through SNIPER and saddle-node bifurcations. The study also reveals the presence of multistabilities.
Article
Automation & Control Systems
Miel Sharf, Daniel Zelazo
Summary: This article proposes a network identification method for nonlinear agents using the global convergence properties of the network and linearized steady-state equations, achieving sub-cubic time complexity. The presented algorithms are shown to be optimal in terms of time complexity and are demonstrated in case studies with discontinuous dynamics.
IEEE TRANSACTIONS ON CONTROL OF NETWORK SYSTEMS
(2023)
Article
Automation & Control Systems
Lanlin Yu, Xiaodong Cheng, Jacquelien M. A. Scherpen, Junlin Xiong
Summary: This paper proposes an H-2 optimal scheme for reducing the dimension of diffusively coupled second-order systems. It achieves an approximate input-output mapping and preserves crucial structures through a novel graph reconstruction approach.
Article
Mathematics, Interdisciplinary Applications
Argha Mondal, Chittaranjan Hens, Arnab Mondal, Chris G. Antonopoulos
Summary: The study analyzes the spatiotemporal patterns arising from diffusive instability in an extended 2D spatial domain using the Izhikevich neuron model, utilizing bifurcation and fixed-point analyses to characterize the patterns. Analytically-derived amplitude equations are used to establish the activities of reaction-diffusion structures, showing the potential of spatiotemporal behavior in contributing to the study of diffusively-coupled biophysical systems.
CHAOS SOLITONS & FRACTALS
(2021)
Article
Automation & Control Systems
Xiaodong Cheng, Lanlin Yu, Dingchao Ren, Jacquelien M. A. Scherpen
Summary: This article studies the reduced-order modeling of dynamic networks with a strongly connected topology. By performing graph clustering on the original large-scale network, a quotient graph is constructed with a smaller number of vertices, where the edge weights serve as parameters to be determined. The reduced network model is obtained with parameterized system matrices, and an edge weighting procedure is devised to minimize the approximation error between the original and reduced-order network models in terms of the $\mathcal {H}_{2}$-norm. The effectiveness of the method is illustrated through a numerical example.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2023)
Article
Physics, Multidisciplinary
Robin Delabays, Laurent Pagnier, Melvyn Tyloo
Summary: A wide variety of systems, both natural and human-made, consist of a large set of dynamical units coupled into complex structures. Breakdown of such systems can have significant impacts, requiring fast detection and localization of disturbances. A simple method proposed in the study allows for precise identification and differentiation of disturbances in coupled dynamical agent networks using only time series measurements and network structure knowledge.
NEW JOURNAL OF PHYSICS
(2021)
Article
Automation & Control Systems
Giacomo Casadei, Daniele Astolfi
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2018)
Article
Automation & Control Systems
G. Casadei, A. Isidori, L. Marconi
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2018)
Article
Transportation Science & Technology
G. Casadei, V Bertrand, B. Gouin, C. Canudas-de-Wit
TRANSPORTATION RESEARCH PART C-EMERGING TECHNOLOGIES
(2018)
Article
Automation & Control Systems
Giacomo Casadei, Carlos Canudas-de-Wit, Sandro Zampieri
IEEE TRANSACTIONS ON CONTROL OF NETWORK SYSTEMS
(2020)
Article
Automation & Control Systems
Francesco Ferrante, Giacomo Casadei, Christophe Prieur
Summary: This paper investigates the synchronization problem of a class of infinite-dimensional systems and establishes sufficient conditions for asymptotic synchronization in undirected connected graphs. It also provides sufficient conditions in the form of linear matrix inequalities for the design of synchronizing policies in systems of hyperbolic semilinear conservation laws.
IEEE CONTROL SYSTEMS LETTERS
(2022)
Proceedings Paper
Automation & Control Systems
Giacomo Casadei, Daniele Astolfi, Angelo Alessandri, Luca Zaccarian
Article
Automation & Control Systems
Giacomo Casadei, Daniele Astolfi, Angelo Alessandri, Luca Zaccarian
IEEE CONTROL SYSTEMS LETTERS
(2019)
Proceedings Paper
Automation & Control Systems
Daniele Astolfi, Giacomo Casadei, Romain Postoyan
2018 EUROPEAN CONTROL CONFERENCE (ECC)
(2018)
Proceedings Paper
Automation & Control Systems
G. Casadei, C. Canudas De-Wit
Proceedings Paper
Automation & Control Systems
G. Casadei, L. Marconi, C. De Persis
2015 54TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC)
(2015)
Proceedings Paper
Engineering, Aerospace
M. Furci, G. Casadei, R. Naldi, R. G. Sanfelice, L. Marconi
2015 INTERNATIONAL CONFERENCE ON UNMANNED AIRCRAFT SYSTEMS (ICUAS'15)
(2015)
Proceedings Paper
Automation & Control Systems
G. Casadei, L. Marconi, A. Isidori
2014 IEEE 53RD ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC)
(2014)
