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作者：Huang, Chao
作者单位：Tongji University
摘要：The invariant-subspace based (ISP) system identification method is developed when the excitation signal is periodic and the measured data are obtained from irregular samplings. With the ISP method, frequency response data are obtained using least-square estimators, which reduces to discrete Fourier transformation (DFT) if the sampling is periodic. Then, with a careful use of the statistics of the sampled data, consistency of the identified model is established when the sampling rates at the in...
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作者：Zhao, Kai; Zhang, Jinhui; Sun, Zhongqi; Chen, Duanduan
作者单位：Beijing Institute of Technology; Beijing Institute of Technology
摘要：In this article, a novel state prediction framework is proposed to address the stabilization problem of linear time-invariant system with input delay and external disturbance. The predicted state is obtained by utilizing the estimates of unknown disturbance and its derivatives, which possesses a higher accuracy than traditional methods, and the predicted disturbance is incorporated into the controller to achieve active disturbance rejection. Furthermore, the application of the proposed predict...
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作者：Fang, Xu; Xie, Lihua
作者单位：Nanyang Technological University
摘要：This article studies the problem of distributed formation maneuver control of multiagent systems via complex Laplacian. We will show how to change the translation, scaling, rotation, and also the shape of formation continuously by only tuning the positions of the leaders in both 2-D and 3-D spaces, where the rotation of formation in the 3-D space is realized by changing the yaw angle, pitch angle, and roll angle of formation sequentially. Compared with real-Laplacian-based methods, the first a...
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作者：Tai, Ruochen; Lin, Liyong; Su, Rong
作者单位：Nanyang Technological University
摘要：This work investigates the existence of fortified supervisors against covert actuator attackers. For a supervisor $S$ that is nonresilient against covert actuator attackers, a fortified supervisor $S<^>{\prime }$ satisfies two requirements: 1) $S<^>{\prime }$ is resilient against any covert actuator attacker, and 2) the original closed-behavior of the closed-loop system under $S$ is preserved. We design a sound and complete procedure to show the problem of determining the existence of a fortif...
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作者：Wang, Bao; Zhu, Quanxin; Li, Subei
作者单位：Xuzhou University of Technology; Hunan Normal University
摘要：This article studies the stabilization problem for a class of discrete-time hidden semi-Markov jump linear systems with partly unknown emission probability matrix. By virtue of the improved semi-Markov kernel approach and emission probability approach, the less conservative sufficient stability conditions are proposed on the basis of emission probability matrix with partly unknown elements. With the aid of an improved eliminating matrix product technique, the nonlinear matrix terms with respec...
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作者：Gu, Keqin; Phan-Van, Huan
作者单位：Southern Illinois University System; Southern Illinois University Edwardsville
摘要：This article discusses the invariant subspaces that are restricted to be external direct sums. Some existence conditions are presented that facilitate finding such invariant subspaces. This problem is related to the decomposition of coupled differential-difference equations, leading to the possibility of lowering the dimensions of coupled differential-difference equations. As has been well documented, lowering the dimension of coupled differential-difference equations can drastically reduce th...
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作者：Mi, La; Goncalves, Jorge; Markdahl, Johan
作者单位：University of Luxembourg; University of Cambridge
摘要：Multi-agent systems are known to exhibit stable emergent behaviors, including polarization, over R-n or highly symmetric nonlinear spaces. In this article, we eschew linearity and symmetry of the underlying spaces, and study the stability of polarized equilibria of multi-agent gradient flows evolving on general hypermanifolds. The agents attract or repel each other according to the partition of the communication graph that is connected but otherwise arbitrary. The manifolds are outfitted with ...
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作者：He, Xiongnan; Huang, Jie
作者单位：Chinese University of Hong Kong
摘要：In this article, we study the problem of distributed Nash equilibrium seeking of N-player games with single-integrator dynamics subject to disturbances generated by an uncertain exosystem. Similar problems have been studied for games with single-integrator dynamics subject to disturbances generated by a known exosystem. In addition, this article offers some other new features. First, the existing results only apply to static, connected, and undirected graphs while the result of this article ap...
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作者：Chen, Jian-Hua; Zhou, Hua-Cheng; Han, Zhong-Jie
作者单位：Hunan University of Science & Technology; Central South University; Tianjin University
摘要：In this article, we study a class of integro-differential equation systems with observations in the abstract setting of Hilbert spaces, which fit the second-order integro-differential equation governing the dynamics in isotropic linear viscoelastic materials. Our focus is on infinite-time admissibility of the system observation operators, and sufficient conditions are established using two operator semigroup approaches. An illustrative example is given.
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作者：Meyn, Sean
作者单位：State University System of Florida; University of Florida
摘要：Q-learning has become an important part of the reinforcement learning toolkit since its introduction in the dissertation of Chris Watkins in the 1980s. In the original tabular formulation, the goal is to compute exactly a solution to the discounted-cost optimality equation, and thereby, obtain the optimal policy for a Markov Decision Process. The goal today is more modest: obtain an approximate solution within a prescribed function class. The standard algorithms are based on the same architect...
