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作者：Corless, Martin J.; Shorten, Robert N.
作者单位：Purdue University System; Purdue University; Imperial College London; University College Dublin
摘要：We present order reduction results for linear time invariant descriptor systems. Results are given for both forced and unforced systems as well methods for constructing the reduced order systems. Our results establish a precise connection between classical and new results on this topic, and lead to an elementary construction of quasi-Weierstrass forms for a descriptor system. Examples are given to illustrate the usefulness of our results.
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作者：Liu, Wenjie; Sun, Jian; Wang, Gang; Bullo, Francesco; Chen, Jie
作者单位：Beijing Institute of Technology; Beijing Institute of Technology; University of California System; University of California Santa Barbara; University of California System; University of California Santa Barbara; Tongji University
摘要：This article is concerned with the problem of stabilizing continuous-time linear time-invariant (LTI) systems subject to quantization and denial-of-service (DoS) attacks. In this context, two DoS-induced challenges emerge in the design of resilient encoding schemes, namely, the coupling between encoding strategies of different signals, and the synchronization between the encoder and decoder. These challenges are addressed by a novel proposed structure based on a deadbeat controller as well as ...
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作者：Soleymani, Touraj; Baras, John S.; Hirche, Sandra; Johansson, Karl H.
作者单位：Royal Institute of Technology; University System of Maryland; University of Maryland College Park; Technical University of Munich
摘要：In this article, we study an energy-regulation tradeoff that delineates the fundamental performance bound of a feedback control system over a noisy channel in an unreliable communication regime. The channel and the process are modeled by an additive white Gaussian noise channel with fading and a partially observable Gauss-Markov process, respectively. Moreover, the feedback control loop is constructed by designing an encoder with a scheduler and a decoder with a controller. The scheduler and t...
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作者：Li, Yunchuan; Fu, Michael C.; Xu, Jie
作者单位：University System of Maryland; University of Maryland College Park; University System of Maryland; University of Maryland College Park; University System of Maryland; University of Maryland College Park; George Mason University
摘要：We analyze a tree search problem with an underlying Markov decision process, in which the goal is to identify the best action at the root that achieves the highest cumulative reward. We present a new tree policy that optimally allocates a limited computing budget to maximize a lower bound on the probability of correctly selecting the best action at each node. Compared to widely used upper confidence bound (UCB) tree policies, the new tree policy presents a more balanced approach to manage the ...
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作者：Duan, Peihu; Wang, Qishao; Duan, Zhisheng; Chen, Guanrong
作者单位：Peking University; Beihang University; City University of Hong Kong
摘要：This article investigates state estimation for a class of complex networks, in which the dynamics of each node is subject to Gaussian noise, system uncertainties, and nonlinearities. Based on a regularized least-squares approach, the estimation problem is reformulated as an optimization problem, solving for a solution in a distributed way by utilizing a decoupling technique. Then, based on this solution, a class of estimators is designed to handle the system dynamics and constraints. A novel f...
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作者：Taghvaei, Amirhossein; Mehta, Prashant G.
作者单位：University of California System; University of California Irvine; University of Illinois System; University of Illinois Urbana-Champaign
摘要：This article presents an elementary proof of stochastic stability of a discrete-time reversible Markov chain starting from a Foster-Lyapunov drift condition. Besides its relative simplicity, there are two salient features of the proof. 1) It relies entirely on functional-analytic non-probabilistic arguments. 2) It makes explicit the connection between a Foster-Lyapunov function and Poincare inequality. The proof is used to derive an explicit bound for the spectral gap. An extension to the nonr...
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作者：Como, Giacomo; Maggistro, Rosario
作者单位：Polytechnic University of Turin; University of Trieste
摘要：We study transportation networks controlled by dynamic feedback tolls. We focus on a multiscale model, whereby the dynamics of the traffic flows are intertwined with those of the routing choices. The latter are influenced by the current traffic state of the network as well as by dynamic tolls controlled in feedback by the system planner. We prove that a class of decentralized monotone flow-dependent tolls allows for globally stabilizing the transportation network around a generalized Wardrop e...
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作者：Ohta, Yoshito; Rapisarda, Paolo
作者单位：Kyoto University; University of Southampton
摘要：We establish formulas relating the state of a continuous-time system with that of the transformed one in a Takenaka-Malmquist-Kautz orthogonal basis. We use such relation to give a simple proof that if the original system is dissipative, then the transformed one is also dissipative with the same storage function. We apply our results to continuous-time subspace system identification.
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作者：Tie, Lin
作者单位：Beihang University
摘要：In this article, we consider controllability of discrete-time bilinear systems. A classical sufficient condition was obtained in this journal in 1973, which, unfortunately, is not algebraically verifiable, and the required control inputs to achieve state transition are unknown. However, based on a recently established notion, near-controllability, we propose a seeking nonzero entries approach to derive fully algebraically verifiable controllability criteria for discrete-time bilinear systems. ...
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作者：Yin, He; Seiler, Peter; Arcak, Murat
作者单位：University of California System; University of California Berkeley; University of Michigan System; University of Michigan
摘要：A method is presented to analyze the stability of feedback systems with neural network controllers. Two stability theorems are given to prove asymptotic stability and to compute an ellipsoidal innerapproximation to the region of attraction (ROA). The first theorem addresses linear time-invariant systems, and merges Lyapunov theory with local (sector) quadratic constraints to bound the nonlinear activation functions in the neural network. The second theorem allows the system to include perturba...
