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作者:Shen, Xuehui; Griffis, Emily J.; Wu, Wenyu; Dixon, Warren E.
作者单位:State University System of Florida; University of Florida
摘要:Motivated by the memory capabilities of long short-term memory (LSTM) networks and the improved function approximation power of deep learning, this article develops a Lyapunov-based adaptive controller using a deep LSTM neural network (NN) architecture. The architecture is made deep by stacking the LSTM cells on top of each other, and therefore, the overall architecture is henceforth referred to as a stacked LSTM (SLSTM). Specifically, an adaptive SLSTM architecture is developed with shortcut ...
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作者:Bizyaeva, Anastasia; Franci, Alessio; Leonard, Naomi Ehrich
作者单位:Cornell University; University of Liege; Princeton University
摘要:In this article, we propose and analyze a nonlinear dynamic model of continuous-time multidimensional belief formation over signed social networks. Our model accounts for the effects of a structured belief system, self-appraisal, internal biases, and various sources of cognitive dissonance posited by recent theories in social psychology. We prove that agents become opinionated as a consequence of a bifurcation. We analyze how the balance of social network effects in the model controls the natu...
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作者:Zekraoui, Salim; Espitia, Nicolas; Perruquetti, Wilfrid; Krstic, Miroslav
作者单位:Universite Claude Bernard Lyon 1; Universite de Lille; Centrale Lille; Centre National de la Recherche Scientifique (CNRS); CNRS - Institute for Information Sciences & Technologies (INS2I); Universite de Lille; Centrale Lille; University of California System; University of California San Diego
摘要:Time-varying prescribed-time (PT) controllers use growing gains not only to achieve convergence in desired time but to reduce state peaking during stabilization and to also reduce the control effort by distributing it more evenly over the time interval of convergence. In this article, we consider a 1-D reaction-diffusion system with boundary input delay and propose a general method for studying the problem of PT boundary stabilization. To achieve this objective, we first reformulate the system...
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作者:Mehdifar, Farhad; Lindemann, Lars; Bechlioulis, Charalampos P.; Dimarogonas, Dimos V.
作者单位:Royal Institute of Technology; University of Southern California; University of Patras
摘要:This article introduces a novel control framework to address the satisfaction of multiple time-varying output constraints in uncertain high-order multi-input-multi-output (MIMO) nonlinear control systems. Unlike existing methods, which often assume that the constraints are always decoupled and feasible, our approach can handle coupled time-varying constraints even in the presence of potential infeasibilities. First, it is shown that satisfying multiple constraints essentially boils down to ens...
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作者:Xiang, Zhaoyu; Chen, Yufeng; Wu, Naiqi; Li, Zhiwu
作者单位:Macau University of Science & Technology; Xidian University
摘要:In this article, we investigate the supervisory control of a networked timed discrete event system modeled with a timed automaton. In this system, a plant communicates with its supervisor through multiple observation channels and a single control channel. Any observation channel is imposed a bandwidth constraint such that the number of events transmitted through the channel per time unit should not exceed a given nonnegative integer. The control channel is subject to bounded control delays and...
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作者:Chang, Hyeong Soo
作者单位:Sogang University
摘要:An important question about finite constrained Markov decision process (CMDP) problem is if there exists a condition under which a uniformly optimal and uniformly feasible policy exists in the set of deterministic, history-independent, and stationary policies that achieves the optimal value at all initial states and if the CMDP problem with the condition can be solved by dynamic programming (DP). This is because the crux of the unconstrained MDP theory developed by Bellman lies in the answer t...
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作者:Wang, Shanshan; Diagne, Mamadou; Krstic, Miroslav
作者单位:University of Shanghai for Science & Technology; University of California System; University of California San Diego
摘要:With deep neural network approximations of partial differential equation (PDE) backstepping, for each new functional coefficient of the PDE plant, the gains are obtained through a function evaluation. In this article, we expand this framework to control of cascaded PDE systems from distinct classes: a reaction-diffusion plant, which is a parabolic PDE, with input delay, which is a hyperbolic PDE. The DeepONet-approximated nonlinear operator for the control gain is a cascade/composition of the ...
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作者:Xie, Ruiming; Xu, Shengyuan
作者单位:Nanjing University of Science & Technology
摘要:In this article, we revisit finite-time stochastic integral input-to-state stability (FT-SiISS) and gives its further applications. Its contributions are two-fold: first, FT-SiISS is further discussed by reconstructing two new counterexamples that are different from Cui and Xie (2023), whose research significance is to find more practical systems satisfying FT-SiISS rather than FT-SISS. Second, as its application, we further solve the problem of finite-time stabilization for more general stoch...
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作者:Boche, Holger; Boeck, Yannik; Deppe, Christian; Fitzek, Frank H. P.
作者单位:Technical University of Munich; Braunschweig University of Technology; Technische Universitat Dresden
摘要:This article analyzes aspects of the problem of remote state estimation (RSE) via noisy communication channels for their Blum-Shub-Smale (BSS) computability, motivated by an exemplary application to a formal model of virtual twinning subject to stringent integrity requirements. Computability theory provides a unique framework for the formal and mathematically rigorous analysis of algorithms and computing machines. Therefore, computability theory is essential in the domain of safety- and life-c...
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作者:Liu, Qinyuan; Nie, Yao; Wang, Zidong; Dong, Hongli; Jiang, Changjun
作者单位:Tongji University; Tongji University; Tongji University; Brunel University; Northeast Petroleum University; Northeast Petroleum University
摘要:In this article, the Kalman filter design problem is investigated for linear discrete-time systems under binary encoding schemes. Under such a scheme, the local information is quantized into a bit string by the remote sensor based on a probabilistic quantizer, and then the bit string is transmitted via memoryless binary symmetric channels (BSCs). Due to the communication link noises, the bit flipping occurs in a random manner, and thus, the transmission of the bit string would suffer from spec...