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作者：Geshkovski, Borjan; Zuazua, Enrique
作者单位：Massachusetts Institute of Technology (MIT); University of Erlangen Nuremberg; University of Deusto; Autonomous University of Madrid
摘要：In this article, by using the Brunovsky normal form, we provide a reformulation of the problem consisting in finding the actuator design which minimizes the controllability cost for finite-dimensional linear systems with scalar controls. Such systems may be seen as spatially discretized linear partial differential equations with lumped controls. The change of coordinates induced by Brunovsky's normal form allows us to remove the restriction of having to work with diagonalizable system dynamics...
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作者：Han, Yingying; Zhou, Shaosheng
作者单位：Hangzhou Normal University; Hangzhou Dianzi University
摘要：This article deals with the problem of stochastic stability for a class of discrete-time Markovian jump singular systems. A time-dependent coordinate transformation is provided, under which an equivalent form of the original Markovian jump singular systems can be obtained. This equivalent form not only shows the inherent state jump behavior at the switching instants, but also plays an important role in the stochastic stability analysis. Constructing a supermartingale over some $\sigma$-algebra...
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作者：Chen, Fei; Jin, Jin; Xiang, Linying; Ren, Wei
作者单位：Northeastern University - China; Northeastern University - China; University of California System; University of California Riverside
摘要：This article aims at developing a scaling-function approach for distributed optimization of unbalanced multiagent networks under convex constraints. The distinguishing feature of the algorithm is that it does not employ agents' out-degree information, nor does it require the estimation of the left eigenvector, corresponding to the zero eigenvalue, of the Laplacian matrix. Existing approaches for unbalanced networks either demand the knowledge on agents' out-degrees, which is impractical in app...
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作者：Hamedani, Erfan Yazdandoost; Aybat, Necdet Serhat
作者单位：University of Arizona; Pennsylvania Commonwealth System of Higher Education (PCSHE); Pennsylvania State University; Pennsylvania State University - University Park
摘要：We propose decentralized primal-dual methods for cooperative multiagent consensus optimization problems over both static and time-varying communication networks, where only local communications are allowed. The objective is to minimize the sum of agent-specific convex functions over conic constraint sets defined by agent-specific nonlinear functions; hence, the optimal consensus decision should lie in the intersection of these private sets. Under the strong convexity assumption, we provide con...
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作者：Na, Sen; Shin, Sungho; Anitescu, Mihai; Zavala, Victor M.
作者单位：University of Chicago; University of Wisconsin System; University of Wisconsin Madison; United States Department of Energy (DOE); Argonne National Laboratory
摘要：We study the convergence properties of an overlapping Schwarz decomposition algorithm for solving nonlinear optimal control problems (OCPs). The algorithm decomposes the time domain into a set of overlapping subdomains, and solves all subproblems defined over subdomains in parallel. The convergence is attained by updating primal-dual information at the boundaries of overlapping subdomains. We show that the algorithm exhibits local linear convergence, and that the convergence rate improves expo...
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作者：Schirmer, Sophie G.; Langbein, Frank C.; Weidner, Carrie Ann; Jonckheere, Edmond
作者单位：Swansea University; Cardiff University; University of Bristol; University of Southern California
摘要：Robust performance of control schemes for open quantum systems is investigated under classical uncertainties in the generators of the dynamics and non-classical uncertainties due to decoherence and initial state preparation errors. A formalism is developed to measure performance based on the transmission of a dynamic perturbation or initial state preparation error to the quantum state error. This makes it possible to apply tools from classical robust control, such as structured singular value ...
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作者：Lv, Xiang
作者单位：Shanghai Normal University
摘要：This article is devoted to the existence and the global stability of stationary solutions for stochastic Hopfield neural networks with time delays and additive white noises. Using the method of random dynamical systems, we present a new approach to guarantee that the infinite-dimensional stochastic flow generated by stochastic delay differential equations admits a globally attracting random equilibrium in the state-space of continuous functions. An example is given to illustrate the effectiven...
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作者：McAllister, Robert D.; Rawlings, James B.
作者单位：University of California System; University of California Santa Barbara
摘要：We introduce a new class of large, infrequent disturbances to complement the small, persistent disturbances typically considered in robustness analysis. This new class of disturbances includes discrete disturbances that become pertinent when considering discrete actuators and production scheduling in control problems. To properly account for the infrequent nature of these disturbances, we define a stochastic form of robustness. Under suitable assumptions, we prove that certain closed-loop syst...
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作者：Kumar, Saurav; Makarenkov, Oleg; Gregg, Robert D.; Gans, Nicholas
作者单位：Carnegie Mellon University; University of Texas System; University of Texas Dallas; University of Michigan System; University of Michigan; University of Texas System; University of Texas Arlington
摘要：This article presents a time-invariant extremum seeking controller (ESC) for nonlinear autonomous systems with limit cycles. For this time-invariant ESC, we propose a method to prove the closed-loop system has an asymptotically stable limit cycle. The method is based on a perturbation theorem for maps, and, unlike existing techniques that use averaging and singular perturbation tools, it is not limited to weakly nonlinear systems. We use a typical example system to show that our method does in...
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作者：Patil, Omkar Sudhir; Sun, Runhan; Bhasin, Shubhendu; Dixon, Warren E.
作者单位：State University System of Florida; University of Florida; Indian Institute of Technology System (IIT System); Indian Institute of Technology (IIT) - Delhi
摘要：A continuous adaptive controller is developed for nonlinear dynamical systems with linearly parameterizable uncertainty involving time-varying uncertain parameters. Through a unique stability analysis strategy, a new adaptive feedforward term is developed along with specialized feedback terms, to yield an asymptotic tracking error convergence result by compensating for the time-varying nature of the uncertain parameters. A Lyapunov-based stability analysis is shown for Euler-Lagrange systems, ...
