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作者：Anevlavis, Tzanis; Liu, Zexiang; Ozay, Necmiye; Tabuada, Paulo
作者单位：University of California System; University of California Los Angeles; University of Michigan System; University of Michigan
摘要：In this article, we revisit the problem of computing (robust) controlled invariant sets for discrete-time linear systems. Departing from previous approaches, we consider implicit, rather than explicit, representations for controlled invariant sets. Moreover, by considering such representations in the space of states and finite input sequences we obtain closed-form expressions for controlled invariant sets. An immediate advantage is the ability to handle high-dimensional systems since the close...
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作者：Allibhoy, Ahmed; Cortes, Jorge
作者单位：University of California System; University of California San Diego
摘要：This article considers the problem of designing a continuous-time dynamical system that solves a constrained nonlinear optimization problem and makes the feasible set forward invariant and asymptotically stable. The invariance of the feasible set makes the dynamics anytime, when viewed as an algorithm, meaning it returns a feasible solution regardless of when it is terminated. Our approach augments the gradient flow of the objective function with inputs defined by the constraint functions, tre...
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作者：Li, Shilei; Shi, Dawei; Lou, Yunjiang; Zou, Wulin; Shi, Ling
作者单位：Hong Kong University of Science & Technology; Beijing Institute of Technology; Harbin Institute of Technology
摘要：Disturbance observers have been attracting continuing research efforts and are widely used in many applications. Among them, the Kalman filter-based disturbance observer is an attractive one since it estimates both the state and the disturbance simultaneously, and is optimal for a linear system with Gaussian noises. Unfortunately, the noise in the disturbance channel typically exhibits a heavy-tailed distribution because the nominal disturbance dynamics usually do not align with the practical ...
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作者：Rios, Hector; de Loza, Alejandra Ferreira; Efimov, Denis; Franco, Roberto
作者单位：Universite de Lille; Centre National de la Recherche Scientifique (CNRS); Inria
摘要：This article deals with the problem of time-varying parameter identification in dynamical regression models affected by disturbances. The disturbances comprise time-dependent external perturbations and nonlinear unmodeled dynamics. With this aim in mind, we propose a robust nonlinear adaptive observer. The algorithm ensures the asymptotic convergence of the parameter identification error to an acceptably small region around the origin in the presence of disturbances. The synthesis of the adapt...
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作者：Yekkehkhany, Ali; Feng, Han; Ying, Donghao; Lavaei, Javad
作者单位：University of California System; University of California Berkeley
摘要：Stochastic time-varying optimization is an integral part of learning in which the shape of the function changes over time in a nondeterministic manner. This article considers multiple models of stochastic time variation and analyzes the corresponding notion of hitting time for each model, i.e., the period after which optimizing the stochastic time-varying function reveals informative statistics on the optimization of the target function. The studied models of time variation are motivated by ad...
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作者：Huang, Jianhui; Qiu, Zhenghong; Wang, Shujun; Wu, Zhen
作者单位：Hong Kong Polytechnic University; Shandong University; Shandong University
摘要：This article revisits well-studied dynamic decisions in weakly coupled large-population (LP) systems. Specifically, three types of LP decision problems: mean-field game (MG), mean-field team (MT), and mean-field-type control (MC), are completely analyzed in a general stochastic linear-quadratic setting with controlled-diffusion in state dynamics and indefinite weight in cost functional. More importantly, interrelations among MG, MT, and MC are systematically discussed; some relevant and intere...
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作者：McDonald, Curtis; Yuksel, Serdar
作者单位：Yale University; Queens University - Canada
摘要：Despite being a foundational concept of modern systems theory, there have been few studies on observability of nonlinear stochastic systems under partial observations. In this article, we introduce a definition of observability for stochastic nonlinear dynamical systems, which involves an explicit functional characterization. To justify its operational use, we establish that this definition implies filter stability under mild continuity conditions: an incorrectly initialized nonlinear filter i...
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作者：Saboori, Anooshiravan; Hadjicostis, Christoforos N.
作者单位：University of Cyprus
摘要：This note identifies a flaw in the proof of Theorem 16 in (Saboori and Hadjicostis, 2014). It also discusses how the statement of Theorem 16 can be adjusted and provides the corresponding proof.
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作者：Yan, Yitao; Bao, Jie; Huang, Biao
作者单位：University of New South Wales Sydney; University of Alberta
摘要：This article presents a distributed data-driven predictive control approach using the behavioral framework. It aims to design a network of controllers for an interconnected system with linear time-invariant subsystems such that a given global (network-wide) cost function is minimized while desired control performance (e.g., network stability and disturbance rejection) is achieved using dissipativity in the quadratic difference form. By viewing dissipativity as a behavior and integrating it int...
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作者：Li, Xuefang; Hou, Zhongsheng
作者单位：Sun Yat Sen University; Qingdao University
摘要：In this work, the adaptive iterative learning control (AILC) for a generic class of nonsquare nonlinear systems is investigated in presence of unknown control gain matrices and nonparametric iteration-varying uncertainties. Differently from the existing approaches, the present work develops a unified, structurally simple and user-friendly AILC method, which is effective to handle nonlinear systems with parametric or nonparametric uncertainties, square or nonsquare input matrices, known or unkn...
