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This paper studies a control method for switching stable coexisting attractors of a class of non-autonomous dynamical systems. The central idea is to introduce a continuous path for the system's trajectory to transition from its original…

Dynamical Systems · Mathematics 2022-08-01 Zhi Zhang , Joseph Páez Chávez , Jan Sieber , Yang Liu

The ability to modulate brain states using targeted stimulation is increasingly being employed to treat neurological disorders and to enhance human performance. Despite the growing interest in brain stimulation as a form of neuromodulation,…

Neurons and Cognition · Quantitative Biology 2016-01-07 Sarah Feldt Muldoon , Fabio Pasqualetti , Shi Gu , Matthew Cieslak , Scott T. Grafton , Jean M. Vettel , Danielle S. Bassett

It is increasingly common to encounter data from dynamic processes captured by static cross-sectional measurements over time, particularly in biomedical settings. Recent attempts to model individual trajectories from this data use optimal…

Machine Learning · Statistics 2020-07-28 Alexander Tong , Jessie Huang , Guy Wolf , David van Dijk , Smita Krishnaswamy

Stochastic control problems with delay are challenging due to the path-dependent feature of the system and thus its intrinsic high dimensions. In this paper, we propose and systematically study deep neural networks-based algorithms to solve…

Optimization and Control · Mathematics 2021-06-18 Jiequn Han , Ruimeng Hu

This paper studies the large-scale cell-free networks where dense distributed access points (APs) serve many users. As a promising next-generation network architecture, cell-free networks enable ultra-reliable connections and minimal…

Networking and Internet Architecture · Computer Science 2024-07-17 Zesheng Zhu , Lifeng Wang , Xin Wang , Dongming Wang , Kai-Kit Wong

This paper proposes a new method to reverse engineer gene regulatory networks from experimental data. The modeling framework used is time-discrete deterministic dynamical systems, with a finite set of states for each of the variables. The…

Quantitative Methods · Quantitative Biology 2007-05-23 Reinhard Laubenbacher , Brandilyn Stigler

Adaptive control strategies have progressively advanced to accommodate increasingly uncertain, delayed, and interconnected systems. This paper addresses the model reference adaptive control (MRAC) of networked, heterogeneous, and unknown…

Systems and Control · Electrical Eng. & Systems 2025-06-25 Moh Kamalul Wafi , Katherin Indriawati , Bambang L. Widjiantoro

A broad range of nonlinear processes over networks are governed by threshold dynamics. So far, existing mathematical theory characterizing the behavior of such systems has largely been concerned with the case where the thresholds are…

Dynamical Systems · Mathematics 2013-05-21 Leon Chang , Jeffrey Cochran , Henning S. Mortveit , Siddharth Raval , Matthew Schroeder

Given a population of interconnected input-output agents repeatedly exposed to independent random inputs, we talk of correlated variability when agents' outputs are variable (i.e., they change randomly at each input repetition) but…

Quantitative Methods · Quantitative Biology 2021-10-15 Marcela Ordorica Arango , Alessio Franci

Changes in an animal's behavioral state, such as arousal and movements, induce {complex modulations of the baseline input currents to sensory areas, eliciting sensory modality-specific effects. A simple computational principle explaining…

Neurons and Cognition · Quantitative Biology 2023-06-06 Shun Ogawa , Francesco Fumarola , Luca Mazzucato

Small cells are a cost-effective way to reliably expand network coverage and provide significantly increased capacity for end users. The ultra-high bandwidth available at millimeter (mmWave) and Terahertz (THz) frequencies can effectively…

Networking and Internet Architecture · Computer Science 2020-05-12 Angela Sara Cacciapuoti , Ramanathan Subramanian , Kaushik Roy Chowdhury , Marcello Caleffi

The mutations of a complex systemic disease like cancer can be modeled as stuck-at faults in the Boolean system paradigm. For a class of multiple faults, the fault identification is exceptionally significant under the incomplete access of…

Systems and Control · Computer Science 2018-09-11 Anuj Deshpande , Ritwik Kumar Layek

We propose a new method for the problem of controlling linear dynamical systems under partial observation and adversarial disturbances. Our new algorithm, Double Spectral Control (DSC), matches the best known regret guarantees while…

Machine Learning · Computer Science 2025-05-28 Anand Brahmbhatt , Gon Buzaglo , Sofiia Druchyna , Elad Hazan

The links between optimal control of dynamical systems and neural networks have proved beneficial both from a theoretical and from a practical point of view. Several researchers have exploited these links to investigate the stability of…

Optimization and Control · Mathematics 2019-02-08 Panos Parpas , Corey Muir

Commonly studied cellular automata are memoryless and have fixed topology of connections between cells. However by allowing updates of links and short-term memory in cells we may potentially discover novel complex regimes of spatio-temporal…

Cellular Automata and Lattice Gases · Physics 2012-12-13 Ramon Alonso-Sanz , Andrew Adamatzky

Active Voltage Control (AVC) on the Power Distribution Networks (PDNs) aims to stabilize the voltage levels to ensure efficient and reliable operation of power systems. With the increasing integration of distributed energy resources, recent…

Machine Learning · Computer Science 2024-06-27 Feiyang Xu , Shunyu Liu , Yunpeng Qing , Yihe Zhou , Yuwen Wang , Mingli Song

Over one third of the estimated 3 million people with epilepsy in the US are medication resistant. Responsive neurostimulation from chronically implanted electrodes provides a promising treatment option and alternative to resective surgery.…

We develop a principled mathematical framework for controlling nonlinear, networked dynamical systems. Our method integrates dimensionality reduction, bifurcation theory and emerging model discovery tools to find low-dimensional subspaces…

Dynamical Systems · Mathematics 2020-06-24 Megan Morrison , J. Nathan Kutz

A novel and efficient end-to-end learning model for automatic modulation classification is proposed for wireless spectrum monitoring applications, which automatically learns from the time domain in-phase and quadrature data without…

Signal Processing · Electrical Eng. & Systems 2021-01-21 Kaisheng Liao , Yaodong Zhao , Jie Gu , Yaping Zhang , Yi Zhong

As a discrete approach to genetic regulatory networks, Boolean models provide an essential qualitative description of the structure of interactions among genes and proteins. Boolean models generally assume only two possible states…

Molecular Networks · Quantitative Biology 2007-05-23 Madalena Chaves , Eduardo D. Sontag , Reka Albert