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作者:Chen, Xudong
作者单位:University of Colorado System; University of Colorado Boulder
摘要:The article introduces and solves a structural controllability problem for continuum ensembles of linear time-invariant systems. All the individual linear systems of an ensemble are sparse, governed by the same sparsity pattern. Controllability of an ensemble system is, by convention, the capability of using a common control input to simultaneously steer every individual systems in it. A sparsity pattern is structurally controllable if it admits a controllable linear ensemble system. A main co...
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作者:Cisneros-Velarde, Pedro; Jafarpour, Saber; Bullo, Francesco
作者单位:University of California System; University of California Santa Barbara
摘要:In this article, we provide an overarching analysis of primal-dual dynamics associated with linear equality-constrained optimization problems using contraction analysis. For the well-known standard version of the problem, we establish convergence under convexity and the contracting rate under strong convexity. Then, for a canonical distributed optimization problem, we use partial contractivity to establish global exponential convergence of its primal-dual dynamics. As an application, we propos...
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作者:Mosalli, Hesamoddin; Babazadeh, Maryam
作者单位:Sharif University of Technology
摘要:This article presents a new optimization-based approach to determine the class of stabilizing control structures with the necessary set of feedback links for interconnected systems. The proposed approach relies on a graph-theoretic interpretation and its equivalence in terms of binary linear programs (BLPs). To carry out the primary goal, first, the stabilizability of a linear time-invariant (LTI) system under the decentralized control structure is presented in terms of a BLP. Next, two graph-...
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作者:Kirchhoff, Jonas
作者单位:Technische Universitat Ilmenau
摘要:The new concept of relative generic subsets is introduced. It is shown that the set of controllable linear finite-dimensional port-Hamiltonian systems is a relative generic subset of the set of all linear finite-dimensional port-Hamiltonian systems. This implies that a random, continuously distributed port-Hamiltonian system is almost surely controllable.
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作者:Liu, Wanchun; Quevedo, E. Daniel; Li, Yonghui; Johansson, Karl Henrik; Vucetic, Branka
作者单位:University of Sydney; Queensland University of Technology (QUT); Royal Institute of Technology
摘要:We consider a fundamental remote state estimation problem of discrete-time linear time-invariant (LTI) systems. A smart sensor forwards its local state estimate to a remote estimator over a time-correlated multistate Markov fading channel, where the packet drop probability is time-varying and depends on the current fading channel state. We establish a necessary and sufficient condition for mean-square stability of the remote estimation error covariance in terms of the state transition matrix o...
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作者:Artola, Marc; Wynn, Andrew; Palacios, Rafael
作者单位:Imperial College London
摘要:In this article a novel nonlinear model predictive control (NMPC) scheme is derived, which is tailored to the underlying structure of the intrinsic description of geometrically exact nonlinear beams (in which velocities and strains are primary variables). This is an important class of partial differential equation (PDE) models whose behavior is fundamental to the performance of flexible structural systems (e.g., wind turbines, high-altitude long-endurance aircraft). Furthermore, this class con...
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作者:Ding, Chao; Wei, Ruixuan
作者单位:Air Force Engineering University; Air Force Engineering University
摘要:This article proposes a low-complexity control design for a class of nonlinear systems in p-normal form whose control directions are completely unknown. The novel contributions, as opposed to the state-of-the-art, of this study lie in the following twofold: to relax the conditional inequality regarding the derivative of Lyapunov function, a novel Nussbaum function with changing frequency is constructed, based on which an improved Nussbaum gain technical lemma is first designed such that closed...
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作者:Medvedev, Alexander V.; Bro, Viktor; Ushirobira, Rosane
作者单位:Uppsala University; Centre National de la Recherche Scientifique (CNRS); CNRS - Institute for Information Sciences & Technologies (INS2I); Universite de Lille; Centrale Lille; Inria
摘要:This article provides the formulas connecting the Laguerre spectrum of the output signal of a linear discrete-time time-invariant delay system to the Laguerre spectrum of its input signal. The Laguerre-domain system representation is meaningful when the input signal is square summable, and the system is stable. A certain type of polynomials arising in the evaluation of the output spectrum due to the presence of time delay is defined, and key properties of these are investigated. The polynomial...
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作者:Wu, Xiaotai; Shi, Peng; Tang, Yang; Mao, Shuai; Qian, Feng
作者单位:Anhui Polytechnic University; University of Adelaide; East China University of Science & Technology
摘要:The problem of exponential stability for semi-Markov jump stochastic nonlinear systems is studied in this article. Semi-Markov chain is well known as an extension of the Markov chain, whose sojourn time distribution depends on the current and next states, and is no longer limited to the exponential distribution. However, in the existing works, the independence and the distribution function limitation are imposed on the sojourn time of semi-Markov jump systems. In this article, without addition...
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作者:Caluya, Kenneth F.; Halder, Abhishek
作者单位:University of California System; University of California Santa Cruz
摘要:In this article, we study the Schrodinger bridge problem (SBP) with nonlinear prior dynamics. In control-theoretic language, this is a problem of minimum effort steering of a given joint state probability density function (PDF) to another over a finite-time horizon, subject to a controlled stochastic differential evolution of the state vector. As such, it can be seen as a stochastic optimal control problem in continuous time with endpoint density constraints-A topic that originated in the phys...