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作者:Nguyen, Hoai-Nam
作者单位:IMT - Institut Mines-Telecom; Institut Polytechnique de Paris; Telecom SudParis
摘要:Recently, a new Lyapunov function based on the convex hull of ellipsoids was introduced for the study of uncertain and/or time-varying linear discrete-time systems with/without constraints. The new Lyapunov function has many attractive features such as: 1) the associated ellipsoids are not required to be robustly invariant; 2) the design conditions are formulated as linear matrix inequality constraints. The control law is obtained by solving a convex optimization problem online. This optimizat...
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作者:Zhang, Zhengqiang; Fang, Qin; Chen, Xinkai
作者单位:Qufu Normal University; Shibaura Institute of Technology
摘要:This article focuses on the equilibrium regulation problem of a class of uncertain linear systems with stochastic input delay, where the delay is modeled as a Markov process with finite states. Our approach is based on the partial differential equation backstepping method. We first consider the Markov delay with finite known states. An adaptive controller is designed to achieve global almost sure asymptotic convergence. Then, the Markov delay with finite unknown states is discussed. Owing to t...
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作者:Rajan, Anusree; Tallapragada, Pavankumar
作者单位:Indian Institute of Science (IISC) - Bangalore; Indian Institute of Science (IISC) - Bangalore
摘要:This article analyzes the evolution of interevent times (IETs) in linear systems under region-based self-triggered control (RBSTC). In this control method, the state space is partitioned into a finite number of conic regions and each region is associated with a fixed IET. In this framework, studying the steady-state behavior of the IETs is equivalent to studying the existence of a conic subregion that is positively invariant under the map that gives the evolution of the state from one event to...
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作者:Xu, Lei; Yi, Xinlei; Shi, Yang; Johansson, Karl H.; Chai, Tianyou; Yang, Tao
作者单位:Northeastern University - China; University of Victoria; Massachusetts Institute of Technology (MIT); Royal Institute of Technology
摘要:This article considers distributed nonconvex optimization for minimizing the sum of local cost functions by using local information exchange. In order to avoid continuous communication among agents and reduce communication overheads, we develop a distributed algorithm with a dynamic exponentially decaying event-triggered scheme. We show that the proposed algorithm is free of Zeno behavior (i.e., finite number of triggers in any finite time interval) by contradiction and asymptotically converge...
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作者:Fan, Lina; Zhu, Quanxin; Zheng, Wei Xing
作者单位:Hunan Normal University; Western Sydney University
摘要:This article is devoted to solving the problem of stochastically weakly locally exponential stability of switched stochastic systems with the state-dependent delay. Different from the previous works, we introduce the state-dependent delay, which is a random variable dependent on the system state so that the bound of the delay is unknown. In addition, we also consider the influence of switching on the stability of the system. By using multiple Lyapunov-Krasovskii functionals and some novel stoc...
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作者:Liu, Fengjiao; Tsiotras, Panagiotis
作者单位:University System of Georgia; Georgia Institute of Technology
摘要:In this article, we study the problem of how to optimally steer the state covariance of a general continuous-time linear stochastic system over a finite time interval subject to additive noise. Optimality here means reaching a target state covariance with minimal control energy. The additive noise may include a combination of white Gaussian noise and abrupt jump noise that is discontinuous in time. We first establish the controllability of the state covariance for linear time-varying stochasti...
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作者:Roy, Arghyadip; Shakkottai, Sanjay; Srikant, R.
作者单位:Indian Institute of Technology System (IIT System); Indian Institute of Technology (IIT) - Guwahati; University of Texas System; University of Texas Austin; University of Illinois System; University of Illinois Urbana-Champaign; University of Illinois System; University of Illinois Urbana-Champaign
摘要:In the regret-based formulation of multi-armed Bandit (MAB) problems, except in rare instances, much of the literature focuses on arms with independent and identically distributed (i.i.d.) rewards. In this article, we consider the problem of obtaining regret guarantees for MAB problems, in which the rewards of each arm form a Markov chain that may not belong to a single parameter exponential family. To achieve a logarithmic regret in such problems is not difficult: a variation of standard Kull...
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作者:Sebastian, Eduardo; Montijano, Eduardo; Sagues, Carlos
作者单位:University of Zaragoza
摘要:This article presents ECO-DKF, the first Event-Triggered and Certifiable Optimal Distributed Kalman Filter. Our algorithm addresses two major issues inherent to distributed Kalman filters: fully distributed and scalable optimal estimation and reduction of the communication bandwidth usage. The first requires to solve an NP-hard optimization problem, forcing relaxations that lose optimality guarantees over the original problem. Using only information from one-hop neighbors, we propose a tight s...
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作者:Zhu, Yanzheng; Xu, Nuo; Basin, Michael V.; Zhou, Donghua; Chen, Xinkai
作者单位:Shandong University of Science & Technology; Huaqiao University; Ningbo University of Technology; Universidad Autonoma de Nuevo Leon; Shibaura Institute of Technology
摘要:This technical note studies both the stability and tracking recovery problems for a class of continuous-time Markov jump piecewise-affine systems against sensor faults. A novel reconfigurable control design approach is proposed to recover the mean-square input-to-state stability of the closed-loop system and the tracking property of constant reference inputs, the key idea of this approach is to insert a reconfiguration block including a separate virtual sensor between the faulty system and the...
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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...