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作者：Viana, Valessa V.; Kreiss, Jeremie; Jungers, Marc
作者单位：Universite de Lorraine; Centre National de la Recherche Scientifique (CNRS)
摘要：This article proposes a new approach for computing controlled invariant and output invisible subspaces of parameter-dependent systems. Nonstrictly proper systems are considered, and the system matrices can exhibit a polynomial dependence on the parameter. The proposed approach is applied in both contexts of constant and parameter-dependent inputs making the subspace invariant, referred to as the generalized or generalized adaptively controlled invariant and output invisible subspaces. A large ...
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作者：Sayedana, Borna; Afshari, Mohammad; Caines, Peter E.; Mahajan, Aditya
作者单位：McGill University; University System of Georgia; Georgia Institute of Technology
摘要：In this article, we investigate the problem of system identification for autonomous Markov jump linear systems (MJS) with complete state observations. We propose switched least squares method for identification of MJS, show that this method is strongly consistent, and derive data-dependent and data-independent rates of convergence. In particular, our data-independent rate of convergence shows that, almost surely, the system identification error is ( O root log (T)/(T) where T is the time horiz...
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作者：Sassano, Mario
作者单位：University of Rome Tor Vergata
摘要：Within the framework of finite-horizon optimal control problems involving nonlinear, input-affine dynamics, a connection between the costate variable and generating functions of the annihilating codistribution of the underlying Hamiltonian vector field is established. It is shown that the inverse mapping of any collection of n, such generating functions coincide, for any time and for a certain constant vector, with the costate of the optimal process. In particular, the corresponding constant v...
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作者：Li, Kuo; Ding, Steven X.; Zheng, Wei Xing; Hua, Chang-Chun
作者单位：University of Duisburg Essen; Western Sydney University; Yanshan University
摘要：This article is concerned with the distributed leader-following fault-tolerant consensus control problem of uncertain nonlinear delayed multiagent systems with hybrid faults including actuator faults and sensor faults. The faults are described as unknown time-varying functions, which can cause uncertain changes in the fault coefficients of sensors and actuators. In this case, we put forward a novel distributed consensus algorithm. First, we transform the consensus problem into the stability on...
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作者：Chen, Guangwei; Vazquez, Rafael; Krstic, Miroslav
作者单位：Beijing University of Technology; University of Sevilla; University of California System; University of California San Diego
摘要：In this article, we present rapid boundary stabilization of a Timoshenko beam with antidamping and antistiffness at the uncontrolled boundary, by using infinite-dimensional backstepping. We introduce a Riemann transformation to map the Timoshenko beam states into a set of coordinates that verify a 1-D hyperbolic PIDE-ODE system. Then backstepping is applied to obtain a control law guaranteeing closed-loop stability of the origin in the $L<^>{2}$ sense. Arbitrarily rapid stabilization can be ac...
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作者：Ziemann, Ingvar
作者单位：University of Pennsylvania
摘要：We present a simple proof for bounding the smallest eigenvalue of the empirical covariance in a causal Gaussian process. Along the way, we establish a one-sided tail inequality for Gaussian quadratic forms using a causal decomposition. Our proof only uses elementary facts about the Gaussian distribution and the union bound. We conclude with an example in which we provide a performance guarantee for least squares identification of a vector autoregression.
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作者：Cheng, Bin; Lv, Yuezu; Li, Zhongkui; Duan, Zhisheng
作者单位：Tongji University; Beijing Institute of Technology; Beijing Institute of Technology; Peking University
摘要：This article studies the consensus control problem faced with three essential demands, namely, discrete control updating for each agent, discrete-time communications among neighboring agents, and the fully distributed fashion of the controller implementation without requiring any global information of the network topology. Note that the existing related results only meet one or two demands at most, which are essentially not applicable to this problem. In this article, a novel dynamic triggerin...
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作者：Heath, William P.; Carrasco, Joaquin; Zhang, Jingfan
作者单位：University of Manchester
摘要：The absolute stability of a Lurye system with a monotone nonlinearity is guaranteed by the existence of a suitable O'Shea-Zames-Falb (OZF) multiplier. We develop a numerically tractable phase condition under which there can be no suitable OZF multiplier for the transfer function of a given continuous-time plant. We provide its graphical interpretation. The condition may be tested in a systematic manner and leads to significantly improved results compared with the condition in the literature fr...
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作者：Bastianello, Nicola; Madden, Liam; Carli, Ruggero; Dall'Anese, Emiliano
作者单位：Royal Institute of Technology; University of British Columbia; University of Padua; University of Colorado System; University of Colorado Boulder; University of Colorado System; University of Colorado Boulder
摘要：This article proposes a framework to study the convergence of stochastic optimization and learning algorithms. The framework is modeled over the different challenges that these algorithms pose, such as 1) the presence of random additive errors (e.g., due to stochastic gradients), and 2) random coordinate updates (e.g., due to asynchrony in distributed set-ups). The article covers both convex and strongly convex problems, and it also analyzes online scenarios, involving changes in the data and ...
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作者：Bianchin, Gianluca; Vaquero, Miguel; Cortes, Jorge; Dall'Anese, Emiliano
作者单位：IE University; University of California System; University of California San Diego; Boston University
摘要：Given a network of agents, we study the problem of designing a distributed algorithm that computes k independent weighted means of the network's initial conditions (namely, the agents agree on a k-dimensional space). Akin to average consensus, this problem finds applications in distributed computing and sensing, where agents seek to simultaneously evaluate k independent functions at a common point by running a single coordination algorithm. We show that linear algorithms can agree on quantitie...
