Article
Automation & Control Systems
Hung D. Nguyen, Thanh Long Vu, Jean-Jacques Slotine, Konstantin Turitsyn
Summary: This article explores the contraction properties of nonlinear differential-algebraic equation systems, demonstrating that the reduced system contracts faster than any synthetic counterpart and highlighting the role of synthetic systems in analyzing attraction basins of nonlinear DAE systems.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2021)
Article
Neurosciences
Parker Tichko, Nicole Page, Ji Chul Kim, Edward W. Large, Psyche Loui
Summary: This study aimed to assess neural entrainment to musical rhythm in different age groups. The results showed that there was no significant difference in neural entrainment between older and younger adults, which supports the use of music-based interventions for promoting healthy cognitive aging.
Article
Mathematics, Applied
Liguang Xu, Hongxiao Hu
Summary: This paper investigates the exponential ultimate boundedness for stochastic pantograph differential systems using Lyapunov functions and algebraic inequality techniques. It derives conditions for pth moment exponential ultimate boundedness for the addressed systems.
APPLIED MATHEMATICS LETTERS
(2021)
Article
Automation & Control Systems
Chengshuai Wu, Ilya Kanevskiy, Michael Margaliot
Summary: This article introduces a geometric generalization of contraction theory called k-contraction. It is found that a dynamical system is called k-contractive if it contracts k-parallelotopes at an exponential rate. In addition, easy to verify sufficient conditions for k-contraction are provided, as well as applications of Muldowney and Li's seminal work in the framework of 2-contraction to systems and control theory.
Article
Automation & Control Systems
Yu Kawano
Summary: This article aims to develop computationally tractable methods for nonlinear model/controller reduction. It studies the incremental properties in the GD balancing framework and proposes GD LQG balancing and GD H-infinity balancing as controller reduction methods for nonlinear systems.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2022)
Article
Neurosciences
Yuka O. Okazaki, Yumi Nakagawa, Yuji Mizuno, Takashi Hanakawa, Keiichi Kitajo
Summary: The study investigated the phase-entrainment of neural oscillations in different cortical areas and large-scale networks using repetitive transcranial magnetic stimulation. The results showed that distinct cortical areas have specific oscillatory frequencies, and manipulating oscillations in local areas can impact other areas through the corresponding frequency. This technique may have implications for treating clinical symptoms associated with impaired oscillations and synchrony.
FRONTIERS IN HUMAN NEUROSCIENCE
(2021)
Article
Automation & Control Systems
Mattia Giaccagli, Daniele Astolfi, Vincent Andrieu, Lorenzo Marconi
Summary: In this article, the problem of constant output regulation for a class of input-affine multi-input multi-output nonlinear systems is studied. The authors propose a control method based on the contraction framework to solve this problem. By extending the system with an integral action processing the regulation error, a state-feedback control law is designed to make the resulting closed-loop system incrementally stable. Sufficient conditions for the design of a pure integral-feedback control are also provided, and specialized control methods for specific system types are proposed.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2022)
Article
Mathematics
Ahmed M. Elshenhab, Xingtao Wang, Omar Bazighifan, Jan Awrejcewicz
Summary: This paper considers nonhomogeneous systems governed by second-order linear differential equations with pure delay. The exact solutions of these systems and their delayed matrix functions are used to obtain the finite-time stability results. Our results extend and improve some previous results by removing some restrictive conditions. An example is provided to illustrate our theoretical results.
Article
Mathematics, Applied
Jing Ren, Chengbo Zhai
Summary: This paper investigates the finite-time stability of generalized neutral fractional systems with time delays and proposes a new criterion. The theoretical findings are validated with a numerical example.
APPLIED MATHEMATICS LETTERS
(2021)
Article
Automation & Control Systems
Vittorio De Iuliis, Alessandro D'Innocenzo, Alfredo Germani, Costanzo Manes
Summary: This article presents novel results on the stability of linear coupled differential-difference systems with multiple time-varying delays, introducing necessary and sufficient conditions for positivity and delay-independent stability, and demonstrating how these results can be systematically applied to non-positive systems. As a result, new stability results on neutral-type systems, differential systems, and continuous-time difference systems with multiple delays are obtained.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2021)
Article
Multidisciplinary Sciences
Tommaso Menara, Giacomo Baggio, Dani Bassett, Fabio Pasqualetti
Summary: Functional configurations in oscillator networks play a crucial role in network synchronization and complex functions. This study presents a method based on network parameters to achieve desired functional configurations.
NATURE COMMUNICATIONS
(2022)
Article
Behavioral Sciences
Nicola Molinaro, Mikel Lizarazu, Veronica Baldin, Jose Perez-Navarro, Marie Lallier, Paula Rios-Lopez
Summary: This study investigates the effects of semantic prediction and cortical entrainment on speech comprehension. The results indicate that semantic prediction can modulate N400 amplitude, while cortical entrainment is influenced by context.
Article
Mathematics, Interdisciplinary Applications
Yongjian Liu, Chunbiao Li, Aimin Liu
Summary: This paper discusses three types of static bifurcations in 2D differential systems based on KCC theory, and characterizes the dynamics in the nonequilibrium region. The results suggest that the dynamics in this area exhibit node-like structures for the three typical static bifurcations.
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
(2021)
Article
Mathematics, Applied
Lichao Feng, Lei Liu, Zhihui Wu, Qiumei Liu
Summary: This paper investigates delay-dependent exponential stability and asymptotic boundedness for highly nonlinear Markov jump neutral SFDSs by weakening the global Lipschitz condition for the delay parts of the drift coefficients. The research also explores the method of multiple degenerate functionals in this context to address challenging factors in stability criteria.
APPLIED MATHEMATICS AND COMPUTATION
(2021)
Article
Physics, Applied
Nagarjuna Asam, Hirofumi Suto, Shingo Tamaru, Hossein Sepehri-Amin, Anton Bolyachkin, Tomoya Nakatani, Weinan Zhou, Hitoshi Kubota, Yuya Sakuraba
Summary: In this study, a new method is proposed to characterize the magnetization dynamics of STOs using injection locking with a microwave antenna. By observing the peak-and-valley dependence of the dc resistance, the oscillation frequency of the STO can be estimated without the need for high-frequency magnetoresistance measurements.
APPLIED PHYSICS LETTERS
(2021)
Article
Automation & Control Systems
Michael Margaliot, Eduardo D. Sontag
Article
Biochemical Research Methods
M. Ali Al-Radhawi, Domitilla Del Vecchio, Eduardo D. Sontag
PLOS COMPUTATIONAL BIOLOGY
(2019)
Article
Multidisciplinary Sciences
Deepak K. Agrawal, Ryan Marshall, Vincent Noireaux, Eduardo D. Sontag
NATURE COMMUNICATIONS
(2019)
Article
Biochemical Research Methods
Deepak K. Agrawal, Elliott M. Dolan, Nancy E. Hernandez, Kristin M. Blacklock, Sagar D. Khare, Eduardo D. Sontag
ACS SYNTHETIC BIOLOGY
(2020)
Article
Biochemical Research Methods
Shu Wang, Jia-Ren Lin, Eduardo D. Sontag, Peter K. Sorger
PLOS COMPUTATIONAL BIOLOGY
(2019)
Article
Biochemical Research Methods
M. Ali Al-Radhawi, David Angeli, Eduardo D. Sontag
PLOS COMPUTATIONAL BIOLOGY
(2020)
Article
Multidisciplinary Sciences
M. Ali Al-Radhawi, Michael Margaliot, Eduardo D. Sontag
Summary: This study explores the synchronization of dynamical systems to periodic inputs, investigates the maximization of a weighted average of the system's output along the periodic attractor, and formulates it as a periodic optimal control problem. It is found that constant inputs are optimal in some architectures, suggesting that non-constant periodic signals may indicate optimization of an underlying time-varying objective functional.
ROYAL SOCIETY OPEN SCIENCE
(2021)
Article
Biology
Hyukpyo Hong, Jinsu Kim, M. Ali Al-Radhawi, Eduardo D. Sontag, Jae Kyoung Kim
Summary: The researchers developed a method to analytically derive the stationary distributions of stochastic biochemical reaction networks by transforming the network structure through complex balancing. They revealed the unique stochastic dynamics of various BRNs and provided the computational package CASTANET to aid in understanding long-term stochasticity.
COMMUNICATIONS BIOLOGY
(2021)
Correction
Automation & Control Systems
Giovanni Russo, Mario di Bernardo, Eduardo D. Sontag
Summary: A small correction has been made to the example in Section V of the paper titled above.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2022)
Article
Automation & Control Systems
M. Ali Al-Radhawi, Mahdiar Sadeghi, Eduardo D. Sontag
Summary: To control outbreaks, public health authorities use Non-Pharmaceutical Interventions (NPIs) like social distancing, adjusting policies through dynamic models to achieve stability. These interventions must be adapted continuously based on the situation.
IEEE CONTROL SYSTEMS LETTERS
(2022)
Article
Biotechnology & Applied Microbiology
Anh Phong Tran, Jerry H. Meldon, Eduardo D. Sontag
Summary: This study presents exact analytical solutions to transient diffusion in bi-layer composites with external mass transfer resistance. The expressions for concentrations and mass permeated are derived using Laplace transform Inversion Theorem in both Laplace and time domains. Lead and lag times, which are important in characterizing membranes, are also calculated and found to be independent of flow direction.
FRONTIERS IN CHEMICAL ENGINEERING
(2021)
Article
Oncology
Amber L. Williams, Jessica E. Fitzgerald, Fernando Ivich, Eduardo D. Sontag, Mark Niedre
FRONTIERS IN ONCOLOGY
(2020)
Article
Automation & Control Systems
Mahdiar Sadeghi, M. Ali Al-Radhawi, Michael Margaliot, Eduardo D. Sontag
IEEE CONTROL SYSTEMS LETTERS
(2019)
Article
Oncology
James M. Greene, Jana L. Gevertz, Eduardo D. Sontag
JCO CLINICAL CANCER INFORMATICS
(2019)
Article
Immunology
Evgeni V. Nikolaev, Andrew Zloza, Eduardo D. Sontag
FRONTIERS IN IMMUNOLOGY
(2019)
Article
Automation & Control Systems
Xiaoyu Luo, Chengcheng Zhao, Chongrong Fang, Jianping He
Summary: This paper investigates the problem of false data injection attacks in multi-agent dynamical systems and proposes FDI attack set selection algorithms to maximize the convergence error by finding the optimal subset of compromised agents.
Article
Automation & Control Systems
Nitin K. Singh, Abhisek K. Behera
Summary: In this paper, a twisting observer is proposed for robustly estimating the states of a second-order uncertain system. The observer approximates the unknown sign term for the non-measurable state with a delayed output-based switching function, and achieves the desired steady-state accuracy by controlling the delay parameter. The application of the observer to output feedback stabilization is also discussed.
Article
Automation & Control Systems
Alexander Aleksandrov
Summary: This paper investigates the absolute stability problem for positive Persidskii systems with delay, proposes a special construction method for diagonal Lyapunov-Krasovskii functionals, and derives a criterion for the existence of such functionals guaranteeing the absolute stability, as well as obtaining sufficient conditions for a family of time-delay Persidskii systems to construct a common diagonal Lyapunov-Krasovskii functional. The efficiency of the developed approaches is demonstrated through four examples.
Article
Automation & Control Systems
Noureddine Toumi, Roland Malhame, Jerome Le Ny
Summary: This paper addresses large multi-agent dynamic discrete choice problems using a linear quadratic mean field games framework. The model incorporates the features where agents have to reach a predefined set of possible destinations within a fixed time frame and running costs can become negative to simulate crowd avoidance. An upper bound on the time horizon is derived to prevent agents from escaping to infinity in finite time. The existence of a Nash equilibrium for infinite population and its epsilon-Nash property for a large but finite population are established. Simulations are conducted to explore the model behavior in various scenarios.
Article
Automation & Control Systems
Philippe Schuchert, Vaibhav Gupta, Alireza Karimi
Summary: This paper presents the design of fixed-structure controllers for the As2 and Asw synthesis problem using frequency response data. The minimization of the norm of the transfer function between the exogenous inputs and performance outputs is approximated through a convex optimization problem involving Linear Matrix Inequalities (LMIs). A general controller parametrization is used for continuous and discrete-time controllers with matrix transfer function or state-space representation. Numerical results show that the proposed data-driven method achieves performance equivalent to model-based approaches when a parametric model is available.
Correction
Automation & Control Systems
Zhijun Guo, Gang Chen
Article
Automation & Control Systems
Matteo Della Rossa, Thiago Alves Lima, Marc Jungers, Raphael M. Jungers
Summary: This paper presents new stabilizability conditions for switched linear systems with arbitrary and uncontrollable underlying switching signals. The study focuses on two specific settings: the robust case with completely unknown and unobservable active mode, and the mode-dependent case with controller depending on the current active switching mode. The technical developments are based on graph-theory tools and path-complete Lyapunov functions framework, enabling the design of robust and mode-dependent piecewise linear state-feedback controllers using directed and labeled graphs.
Article
Automation & Control Systems
Elena Petri, Romain Postoyan, Daniele Astolfi, Dragan Nesic, W. P. M. H. (Maurice) Heemels
Summary: This study investigates a scenario where a perturbed nonlinear system transmits its output measurements to a remote observer via a packet-based communication network. By designing both the observer and the local transmission policies, accurate state estimates can be obtained while only sporadically using the communication network.
Article
Automation & Control Systems
Jonas Krook, Robi Malik, Sahar Mohajerani, Martin Fabian
Summary: This paper proposes a method to synthesise controllers for cyber-physical systems subjected to disturbances, such that the controlled system satisfies specifications given as linear temporal logic formulas. The approach constructs a finite-state abstraction of the original system and synthesises a controller for the abstraction. It introduces the robust stutter bisimulation relation to account for disturbances and uncertainty, ensuring that related states have similar effects under the same controller. The paper demonstrates that the existence of a controller for the abstracted system implies the existence of a controller for the original system enforcing the linear temporal logic formula.
Article
Automation & Control Systems
Clement Chahbazian, Karim Dahia, Nicolas Merlinge, Benedicte Winter-Bonnet, Aurelien Blanc, Christian Musso
Summary: The paper derives a recursive formula of the Fisher information matrix on Lie groups and applies it to nonlinear Gaussian systems on Lie groups for testing. The proposed recursive CRLB is consistent with state-of-the-art filters and exhibits representative behavior in estimation errors. This paper provides a simple method to recursively compute the minimal variance of an estimator on matrix Lie groups, which is fundamental for implementing robust algorithms.
Article
Automation & Control Systems
Yiheng Fu, Pouria Ramazi
Summary: This study investigates the characteristics of decision fluctuations in heterogeneous populations and explores the uncertainties in imitation behavior. The findings are important for understanding the bounded rationality nature of imitation behaviors.
Article
Automation & Control Systems
Lars A. L. Janssen, Bart Besselink, Rob H. B. Fey, Nathan van de Wouw
Summary: This paper introduces a mathematical relationship between the accuracy of reduced-order linear-time invariant subsystem models and the stability and accuracy of the resulting reduced-order interconnected linear time-invariant model. This result can be used to directly translate the accuracy characteristics of the reduced-order subsystem models to the accuracy properties of the interconnected reduced-order model, or to translate accuracy requirements on the interconnected system model to accuracy requirements on subsystem models.
Article
Automation & Control Systems
Piyush Gupta, Vaibhav Srivastava
Summary: We study the optimal fidelity selection for a human operator servicing tasks in a queue, considering the trade-off between high-quality service and penalty due to increased queue length. By modeling the operator's cognitive dynamics and task fidelity, we determine the optimal policy and value function numerically, and analyze the structural properties of the optimal fidelity policy.
Article
Automation & Control Systems
Lukas Schwenkel, Alexander Hadorn, Matthias A. Mueller, Frank Allgoewer
Summary: In this work, the authors study economic model predictive control (MPC) in periodic operating conditions. They propose a method to achieve optimality by multiplying the stage cost by a linear discount factor, which is easy to implement and robust against online changes. Under certain assumptions, they prove that the resulting linearly discounted economic MPC achieves optimal asymptotic average performance and guarantees practical asymptotic stability of the optimal periodic orbit.
Article
Automation & Control Systems
Taher Ebrahim, Sankaranarayanan Subramanian, Sebastian Engell
Summary: We propose a robust nonlinear model predictive control algorithm for dynamic systems with mixed degrees of freedom. This algorithm optimizes both continuous and discrete manipulated variables, enhancing closed-loop performance. Our approach relies on a computationally efficient relaxation and integrality restoration strategy and provides sufficient conditions to establish recursive feasibility and guarantee robust closed-loop stability. The effectiveness of the approach is demonstrated through two nonlinear simulation examples.
