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作者:Li, Jian; Wu, Zhaojing; Liu, Yungang
作者单位:Yantai University; Shandong University
摘要:This article is devoted to the stabilization of an uncertain reaction-diffusion equation with dynamic boundary conditions. The remarkable features of the system under investigation are reflected in the presence of the nonlinear dynamic boundary condition and the serious uncertainties that are involved in not only the dynamic boundary but also the main equation. Consequently, the traditional control schemes on this topic are incapable. Toward the control problem, a novel control scheme via cond...
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作者:Wang, Yujie; Xu, Xiangru
作者单位:University of Wisconsin System; University of Wisconsin Madison
摘要:When the disturbance input matrix is nonlinear, existing disturbance observer design methods rely on the solvability of a partial differential equation or the existence of an output function with a uniformly well-defined disturbance relative degree, which can pose significant limitations. This note introduces a systematic approach for designing an immersion and invariance-based disturbance observer (IIDOB) that circumvents these strong assumptions. The proposed IIDOB ensures the disturbance es...
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作者:Wu, Xinyu; Wang, Zidong; Lu, Wenlian
作者单位:Fudan University; Brunel University; Fudan University
摘要:This article focuses on time-varying delayed stochastic differential systems with stochastically switching parameters formulated by a unified switching behavior combining a discrete adapted process and a Cox process. Unlike prior studies limited to stationary and ergodic switching scenarios, our research emphasizes non-Markovian, nonstationary, and nonergodic cases. It arrives at more general results regarding stability analysis with a more rigorous methodology. The theoretical results are val...
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作者:Huang, Shijie; Lei, Jinlong; Hong, Yiguang; Shanbhag, Uday V.; Chen, Jie
作者单位:Chinese Academy of Sciences; Academy of Mathematics & System Sciences, CAS; Chinese Academy of Sciences; University of Chinese Academy of Sciences, CAS; Tongji University; Pennsylvania Commonwealth System of Higher Education (PCSHE); Pennsylvania State University; Pennsylvania State University - University Park
摘要:In this article, we consider a distributed learning problem in a subnetwork zero-sum game, where agents are competing in different subnetworks. These agents are connected through time-varying graphs where each agent has its own cost function and can receive information from its neighbors. We propose a distributed mirror descent algorithm for computing a Nash equilibrium and establish a sublinear regret bound on the sequence of iterates when the graphs are uniformly strongly connected and the c...
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作者:Li, Yingke; Zhou, Enlu; Zhang, Fumin
作者单位:University System of Georgia; Georgia Institute of Technology; University System of Georgia; Georgia Institute of Technology
摘要:Distributed data fusion methods, which possess guaranteed performance for ad hoc and arbitrarily connected networks, empower more scalable, flexible, and robust information fusion for multirobot sensor networks. This article proposes a novel distributed Bayesian data fusion algorithm, which ensures uniform consistency, i.e., all the locally estimated distributions converge to the true distribution, for arbitrary periodically connected communication graphs. Conservative fusion via the weighted ...
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作者:Wang, Jimin; Zhang, Ji-Feng
作者单位:University of Science & Technology Beijing; University of Science & Technology Beijing; Chinese Academy of Sciences; Academy of Mathematics & System Sciences, CAS; Chinese Academy of Sciences; University of Chinese Academy of Sciences, CAS
摘要:Differentially private distributed stochastic optimization has become a hot topic due to the need for privacy protection in distributed stochastic optimization. In this article, two-time scale stochastic approximation-type algorithms for differentially private distributed stochastic optimization with time-varying sample sizes are proposed using gradient- and output-perturbation methods. For both gradient- and output-perturbation cases, the convergence of the algorithm and differential privacy ...
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作者:Wu, Ze-Hao; Deng, Feiqi; Zhou, Hua-Cheng; Zhao, Zhi-Liang
作者单位:Foshan University; South China University of Technology; Central South University; North University of China
摘要:In this article, linear and nonlinear event-triggered extended state observers are designed for a class of uncertain random systems driven by bounded noise and colored noise. Two event generators, with an ensured positive minimum interevent time for every sample path solution of the random systems, are proposed for the designs of linear and nonlinear event-triggered extended state observers, respectively. The mean square and almost sure convergence of the estimation errors of unmeasured state ...
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作者:Andritsch, Benedikt; Watermann, Lars; Koch, Stefan; Reichhartinger, Markus; Reger, Johann; Horn, Martin
作者单位:Graz University of Technology; Technische Universitat Ilmenau; Graz University of Technology
摘要:In this article, a novel discrete-time realization of the super-twisting controller is proposed. The closed-loop system is proven to converge to an invariant set around the origin in finite time. Furthermore, the steady-state error is shown to be independent of the controller gains. It only depends on the sampling time and the unknown disturbance. The proposed discrete-time controller is evaluated comparative to previously published discrete-time super-twisting controllers by means of the cont...
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作者:Animobono, Davide; Zattoni, Elena; Scaradozzi, David; Perdon, Anna Maria; Conte, Giuseppe
作者单位:Marche Polytechnic University; University of Bologna
摘要:Switching linear systems over the max-plus algebra can be used to model production plants where different choices in resource allocation are possible. In such a case, internal and external variables represent the time instants at which internal or external events occur. In particular, output variables represent the time instants at which lots of manufactured goods are released to the market. Here, we consider the problems of system synchronization and subsynchronization, which consist of forci...
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作者:Czornik, Adam; Makarov, Evgenii K.; Niezabitowski, Michal; Popova, Svetlana; Zaitsev, Vasilii
作者单位:Silesian University of Technology; National Academy of Sciences of Belarus (NASB); Institute of Mathematics of the National Academy of Sciences of Belarus; Udmurt State University
摘要:In this article, we consider a linear discrete time-invariant control system with linear time-varying state feedback. Our main goal is to determine what types of asymptotic dynamics are possible for this system. We introduce and investigate certain discrete-time analogs for notions of global attainability, global Lyapunov reducibility, and global assignability of Lyapunov invariants currently known in the continuous-time case. We prove that uniform complete controllability of the open-loop sys...