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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：Kawano, Yu
作者单位：Hiroshima University
摘要：In this article, we aim at developing computationally tractable methods for nonlinear model/controller reduction. Recently, model reduction by generalized differential (GD) balancing has been proposed for nonlinear systems with constant input-vector fields and linear output functions. First, we study incremental properties in the GD balancing framework. Next, based on these analyses, we provide GD linear quadratic Gaussian (LQG) balancing and GD H-infinity-balancing as controller reduction met...
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作者：Vargas, Alessandro N.; Agulhari, Cristiano M.; Oliveira, Ricardo C. L. F.; Preciado, Victor M.
作者单位：Universidade Tecnologica Federal do Parana; Universidade Estadual de Campinas; University of Pennsylvania
摘要：This article presents conditions to assure the mean-square stability of linear parameter-varying systems with Markov jumps. The model dynamics are driven not only by a Markov chain but also by time-varying parameters that take values in a polytopic set. No assumption is imposed on how the parameters vary within the polytopic set, i.e., the variation rate can be arbitrarily fast. The proposed conditions stem from a homogeneous polynomial Lyapunov function in the state space, adapted to account ...
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作者：Bueno, Jose Nuno A. D.; Marcos, Lucas B.; Rocha, Kaio D. T.; Terra, Marco H.
作者单位：Universidade de Sao Paulo
摘要：When discrete-time Markov jump linear systems are prone to the damaging effects of polytopic uncertainties, it is necessary to address all the vertices of each Markov mode in order to properly design robust controllers. To this end, we propose a robust recursive linear-quadratic regulator for this class of systems. We define a quadratic min-max optimization problem by combining least-squares and penalty functions in a unified framework. We design a one-step cost function to encompass the entir...
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作者：Fei, Zhongyang; Yang, Liu; Sun, Xi-Ming; Ren, Shunqing
作者单位：Dalian University of Technology; Harbin Institute of Technology
摘要：In this article, a novel set-membership state estimation method based on zonotopes is proposed for switched systems subject to unknown-but-bounded disturbance with average dwell time (ADT) switching. By testing the consistency between the system model and measured output, an intersection zonotope is constructed based on mode-dependent and semitime-dependent correction matrix. Then, by constructing semitime-dependent P-radius functions, the issue of L, disturbance attenuation performance for th...
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作者：Devraj, Adithya M.; Meyn, Sean P.
作者单位：Stanford University; State University System of Florida; University of Florida
摘要：Sample complexity bounds are a common performance metric in the reinforcement learning literature. In the discounted cost, infinite horizon setting, all of the known bounds can be arbitrarily large, as the discount factor approaches unity. These results seem to imply that a very large number of samples is required to achieve an epsilon-optimal policy. The objective of the present work is to introduce a new class of algorithms that have sample complexity uniformly bounded over all discount fact...
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作者：Krishnamoorthy, Dinesh
作者单位：Harvard University
摘要：Approximating model predictive control (MPC) policy using expert-based supervised learning techniques requires labeled training datasets sampled from the MPC policy. This is typically obtained by sampling the feasible state space and evaluating the control law by solving the numerical optimization problem offline for each sample. Although the resulting approximate policy can be cheaply evaluated online, generating large training samples to learn the MPC policy can be time-consuming and prohibi...
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作者：Lin, Feng; Wang, Le Yi; Chen, Wen; Polis, Michael P.
作者单位：Wayne State University; Wayne State University; Oakland University
摘要：Observability of a hybrid system is defined as the ability to determine the continuous state of the system. Whether a hybrid system is observable or not depends on which events can be disabled, which events can be forced, and the connectivity of the discrete states, as well as its continuous dynamics. We model a hybrid system using a hybrid machine that takes into consideration both continuous variables and discrete events. We classify hybrid systems into four classes based on their discrete-e...
