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We estimate the distribution of random parameters in a distributed parameter model with unbounded input and output for the transdermal transport of ethanol in humans. The model takes the form of a diffusion equation with the input being the…

Optimization and Control · Mathematics 2018-08-14 Melike Sirlanci , Susan E. Luczak , Catharine E. Fairbairn , Dahyeon Kang , Ruoxi Pan , Xin Yu , I. G. Rosen

This paper considers the distributed robust control problems of uncertain linear multi-agent systems with undirected communication topologies. It is assumed that the agents have identical nominal dynamics while subject to different…

Systems and Control · Computer Science 2011-09-20 Zhongkui Li , Zhisheng Duan , Lihua Xie , Xiangdong Liu

In this paper, we analyze various critical transmitting/sensing ranges for connectivity and coverage in three-dimensional sensor networks. As in other large-scale complex systems, many global parameters of sensor networks undergo phase…

Data Structures and Algorithms · Computer Science 2007-05-23 Vlady Ravelomanana

A small-gain approach is proposed to analyze closed-loop stability of linear diffusion-reaction systems under finite-dimensional observer-based state feedback control. For this, the decomposition of the infinite-dimensional system into a…

Systems and Control · Electrical Eng. & Systems 2022-02-14 Lars Grüne , Thomas Meurer

This paper introduces a novel approach to investigate the dynamics of state distributions, which accommodate both cross-sectional distributions of repeated panels and intra-period distributions of a time series observed at high frequency.…

Econometrics · Economics 2025-05-22 Bo Hu , Joon Y. Park , Junhui Qian

This paper concerns the distributed observer for the descriptor linear system. Unlike centralized descriptor system observers, in the case of distributed observers, each agent either finds it difficult to independently eliminate impulses,…

Dynamical Systems · Mathematics 2025-01-08 Shuai Liu , Haotian Xu

In this paper, we study infinite dimensional stochastic systems having both unbounded control and observation operators. First of all, using a semigroup approach, we give another take of the well-posedness of such systems treated in [SIAM…

Optimization and Control · Mathematics 2021-05-31 Fatima-Zahra Lahbiri , Said Hadd

This paper proposed a distributed filter for spatially interconnected systems (SISs), which considers missing measurements in the sensors of sub-systems. An SIS is established by many similar sub-systems that directly interact or…

Systems and Control · Electrical Eng. & Systems 2019-11-12 Bai Li

In this paper, we are concerned with the regional boundary controllability of the Riemann-Liouville time fractional diffusion systems of order $\alpha\in (0,1]$. The characterizations of strategic actuators are established when the systems…

Optimization and Control · Mathematics 2016-01-13 Fudong Ge , YangQuan Chen , Chunhai Kou

This paper explores the classification of parameter spaces for reaction-diffusion systems of two chemical species on stationary domains. The dynamics of the system are explored both in the absence and presence of diffusion. The parameter…

Pattern Formation and Solitons · Physics 2017-01-19 Wakil Sarfaraz , Anotida Madzvamuse

In this paper, we consider linear boundary port-Hamiltonian distributed parameter systems on a time-varying spatial domain. We derive the specific time-varying Dirac structure that these systems give rise to and use it to formally establish…

Optimization and Control · Mathematics 2025-07-17 T. J. Meijer , A. Das , S. Weiland

Given a linear time-periodic control system in a Hilbert space with a bounded control operator, we present a characterization of periodic stabilization in terms of a detectability inequality. Similar characterizationwas built up in [E.…

Optimization and Control · Mathematics 2020-10-26 Yashan Xu

We discuss a class of linear control problems in a Hilbert space setting, which covers diverse systems such as hyperbolic and parabolic equations with boundary control and boundary observation even including memory terms. We introduce…

Optimization and Control · Mathematics 2014-08-04 Rainer Picard , Sascha Trostorff , Marcus Waurick

In this work an activator-depleted reaction-diffusion system is investigated on polar coordinates with the aim of exploring the relationship and the corresponding influence of domain size on the types of possible diffusion-driven…

Dynamical Systems · Mathematics 2018-01-11 Wakil Sarfaraz , Anotida Madzvamuse

This paper investigates sensor scheduling for state estimation of complex networks over shared transmission channels. For a complex network of dynamical systems, referred to as nodes, a sensor network is adopted to measure and estimate the…

Systems and Control · Electrical Eng. & Systems 2023-01-12 Peihu Duan , Lidong He , Lingying Huang , Guanrong Chen , Ling Shi

A spatially distributed system contains a large amount of agents with limited sensing, data processing, and communication capabilities. Recent technological advances have opened up possibilities to deploy spatially distributed systems for…

Information Theory · Computer Science 2015-11-30 Cheng Cheng , Yingchun Jiang , Qiyu Sun

We study a distributed node-specific parameter estimation problem where each node in a wireless sensor network is interested in the simultaneous estimation of different vectors of parameters that can be of local interest, of common interest…

Systems and Control · Computer Science 2015-10-06 Jorge Plata-Chaves , Mohamad Hasan Bahari , Marc Moonen , Alexander Bertrand

This paper is concerned with quasilinear parabolic reaction-diffusion-advection systems on extended domains. Frameworks for well-posedness in Hilbert spaces and spaces of continuous functions are presented, based on known results using…

Dynamical Systems · Mathematics 2013-05-17 Martin Meyries , Jens D. M. Rademacher , Eric Siero

We provide a functional view of distributional robustness motivated by robust statistics and functional analysis. This results in two practical computational approaches for approximate distributionally robust nonlinear optimization based on…

Systems and Control · Electrical Eng. & Systems 2021-10-27 Yassine Nemmour , Bernhard Schölkopf , Jia-Jie Zhu

This paper considers the distributed H-infinity leader-following tracking problem for a class of discrete time multi-agent systems with a high-dimensional dynamic leader. It is assumed that output information about the leader is only…

Systems and Control · Computer Science 2013-09-03 Guanghui Wen , Valery Ugrinovskii