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作者：Zhang, Yuan; Xia, Yuanqing; Li, Aming
作者单位：Beijing Institute of Technology; Peking University; Peking University
摘要：In this article, we explore the structural controllability of switched linear continuous-time systems. We first identify a gap in the proof of a fundamental criterion for the structural controllability of these systems. To solve this problem, we develop several novel graph-theoretic concepts, such as multilayer dynamic graphs, generalized stems/buds, and generalized cacti. Using these concepts, we provide a comprehensive proof for the criterion. Our approach also induces a new, generalized cac...
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作者：Zhou, Yu; Polyakov, Andrey; Zheng, Gang
作者单位：Centre National de la Recherche Scientifique (CNRS); Inria
摘要：This article develops a homogeneity-based approach to finite/fixed-time stabilization of a linear time-invariant (LTI) system with quantized measurements. A sufficient condition for finite/fixed-time stabilization of multiinput LTI system under state quantization is derived. It is shown that a homogeneous state feedback with a novel logarithmic-like quantizer design can guarantee finite/fixed-time stability of the closed-loop system, provided that the quantization is sufficiently dense. Theore...
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作者：Fisher, Michael W.; Hug, Gabriela; Dorfler, Florian
作者单位：University of Waterloo; Swiss Federal Institutes of Technology Domain; ETH Zurich
摘要：In Part I, a novel Galerkin-type method for finite dimensional approximations of transfer functions in Hardy space was developed based on approximation by simple poles. In Part II, this approximation is applied to system level synthesis, a recent approach based on a clever reparameterization, to develop a new technique for optimal control design. To solve system level synthesis problems, prior work relies on finite impulse response approximations that lead to deadbeat control, and that can exp...
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作者：Ikeda, Takuya
作者单位：University of Kitakyushu
摘要：Maximum hands-off control is the optimal solution to the L(0 )optimal control problem. While convex approximation is typically used to relax this problem, it does not necessarily result in maximum hands-off control. Therefore, this study introduces a nonconvex approximation method and a class of nonconvex optimal control problems that are always equivalent to the maximum hands-off control problem. A computation method based on difference of convex functions optimization is then derived and num...
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作者：Nie, Yao; Wang, Zidong; Liu, Qinyuan
作者单位：Tongji University; Tongji University; Shanghai Artificial Intelligence Laboratory; Tongji University; Brunel University
摘要：This article is concerned with the problem of remote state estimation for linear discrete-time systems with packet dropouts. The packet dropouts are state dependent, which occur only when the real-time target state enters specific observation-denied regions. At the remote estimator, the batch and iterative expectation-maximization (EM) algorithms are proposed for computing the optimal estimation in the maximum a posteriori (MAP) sense. It is shown that the iterative estimator exhibits a struct...
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作者：Zhao, Feiran; Fu, Xingyun; You, Keyou
作者单位：Tsinghua University; Tsinghua University
摘要：System stabilization via policy gradient (PG) methods has drawn increasing attention in both control and machine learning communities. In this article, we study their convergence and sample complexity for stabilizing linear time-invariant systems in terms of the number of system rollouts. Our analysis is built upon a discounted linear quadratic regulator (LQR) method which alternatively updates the policy and the discount factor of the LQR problem. First, we propose an explicit rule to adaptiv...
