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作者：Lhachemi, Hugo; Prieur, Christophe
作者单位：Centre National de la Recherche Scientifique (CNRS); Universite Paris Saclay; Communaute Universite Grenoble Alpes; Institut National Polytechnique de Grenoble; Universite Grenoble Alpes (UGA); Centre National de la Recherche Scientifique (CNRS)
摘要：This article is concerned with the output feedback stabilization of a reaction-diffusion equation by means of bounded control inputs in the presence of saturations. Using a finite-dimensional controller composed of an observer coupled with a finite-dimensional state-feedback, we derive a set of conditions ensuring the stability of the closed-loop plant while estimating the associated domain of attraction in the presence of saturations. This set of conditions is shown to be always feasible for ...
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作者：Xu, Juanjuan; Zhang, Huanshui; Basar, Tamer
作者单位：Shandong University; Shandong University of Science & Technology; University of Illinois System; University of Illinois Urbana-Champaign
摘要：In this article, we study a class of discrete-time decentralized linear-quadratic-Gaussian (LQG) control problems with two controllers and $d$-step delayed information sharing pattern. An explicit form of the pair of optimal linear controllers is obtained in terms of backward Riccati equations and forward equations of estimation error covariance. To overcome the difficulty that arises due to the coupling of the backward-forward equations, we propose a forward iteration approach to derive a ste...
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作者：Chen, Ge; Yu, Yongyuan
作者单位：Chinese Academy of Sciences; Academy of Mathematics & System Sciences, CAS; Shandong University
摘要：This article investigates discrete-time evolutionary games with a general stochastic imitation rule on the toroidal grid, which is a grid network with periodic boundary conditions. The imitation rule has been considered as a fundamental rule in the field of evolutionary game theory, while the grid is treated as the most basic network and has been widely used in the research of spatial evolutionary games. However, current investigations of evolutionary games on grids mainly use simulations or a...
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作者：Huang, Yi; Meng, Ziyang; Sun, Jian; Ren, Wei
作者单位：Beijing Institute of Technology; Tsinghua University; Beijing Institute of Technology; Beijing Institute of Technology; University of California System; University of California Riverside
摘要：This article studies a class of distributed nonsmooth convex optimization problems subject to local set constraints and coupled nonlinear inequality constraints. In particular, each local objective function consists of one differentiable convex function and multiple nonsmooth convex functions. By applying multiple proximal splittings and derivative feedback techniques, a new distributed continuous-time multiproximal algorithm is developed, whose dynamics satisfies Lipschitz continuity even if ...
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作者：Kaushik, Harshal D.; Samadi, Sepideh; Yousefian, Farzad
作者单位：Rutgers University System; Rutgers University New Brunswick
摘要：We consider minimizing a sum of agent-specific nondifferentiable merely convex functions over the solution set of a variational inequality (VI) problem in that each agent is associated with a local monotone mapping. This problem finds an application in computation of the best equilibrium in nonlinear complementarity problems arising in transportation networks. We develop an iteratively regularized incremental gradient method where at each iteration, agents communicate over a directed cycle gra...
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作者：Liu, Hao; Li, Yuzhe; Han, Qing-Long; Raissi, Tarek; Chai, Tianyou
作者单位：Hubei University of Science & Technology; Northeastern University - China; Swinburne University of Technology; heSam Universite; Conservatoire National Arts & Metiers (CNAM); Institut Polytechnique de Paris; ENSTA Paris
摘要：In this article, the issues of secure estimation, attack reconstruction, and isolation are addressed for cyber-physical systems in the presence of malicious attacks. It is assumed that disturbances and noises are unknown-but-bounded. Based on different rank constraints, both zonotopic completely unknown input observer and zonotopic partially unknown input observer are designed to estimate system states. Then, malicious attacks are reconstructed and isolated based on the proposed zonotopic obse...
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作者：Zhu, Shiyong; Cao, Jinde; Lin, Lin; Rutkowski, Leszek; Lu, Jianquan; Lu, Guoping
作者单位：City University of Hong Kong; Southeast University - China; Southeast University - China; Purple Mountain Laboratories; Yonsei University; University of Hong Kong; Polish Academy of Sciences; Systems Research Institute of the Polish Academy of Sciences; AGH University of Krakow; University of Social Sciences; Southeast University - China; Nantong University; Nantong University
摘要：In this article, observable stochastic graphs and detetectable stochastic graphs are, respectively, defined with the detailed implementation for the observability and detectability of stochastic discrete-time and discrete-state dynamic systems. More specifically, they are generally two classes of vertex-colored and edge-labeled graphs rendering a walking agent therein to determine his initial and current positions, respectively, in probability one by measuring the color sequence of his travers...
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作者：Nie, Panpan; Wang, Guangchen; Wang, Yu
作者单位：Shandong University; Qilu Normal University
摘要：In this article, we are interested in studying a new kind of Pareto cooperative differential game of backward stochastic differential equation. Based on the characterizations of Pareto optimal solution, the game problem is transformed into a set of single objective optimal control problems with constraints of backward stochastic differential equations. In the first place, a necessary condition for Pareto optimal strategy is established by virtue of Ekeland's variational principle, and then, it...
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作者：Zhang, Jiaqi; You, Keyou; Xie, Lihua
作者单位：Tsinghua University; Nanyang Technological University
摘要：Information compression is essential to reduce communication cost in distributed optimization over peer-to-peer networks. This article proposes a communication-efficient linearly convergent distributed (COLD) algorithm to solve strongly convex optimization problems. By compressing innovation vectors, which are the differences between decision vectors and their estimates, COLD achieves linear convergence for a class of delta-contracted compressors, and we explicitly quantify how the compression...
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作者：Chaffey, Thomas; Forni, Fulvio; Sepulchre, Rodolphe
作者单位：University of Cambridge; KU Leuven
摘要：We use the recently introduced concept of a scaled relative graph (SRG) to develop a graphical analysis of input-output properties of feedback systems. The SRG of a nonlinear operator generalizes the Nyquist diagram of an LTI system. In the spirit of classical control theory, important robustness indicators of nonlinear feedback systems are measured as distances between SRGs.
