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作者：Makasu, Cloud
作者单位：University of the Western Cape
摘要：In this article, we consider a class of homing problems with controls only in the diffusion-coefficient of a diffusion process in a given closed interval. The controller seeks to minimize an expected cost that accounts for quadratic control costs, and terminal costs until the controlled process hits the end-points of the given interval. Bounds for the value function and the optimal control in question are established under certain conditions. The present results extend and complement an earlie...
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作者：Revay, Max; Umenberger, Jack; Manchester, Ian R.
作者单位：University of Sydney; University of Sydney; Massachusetts Institute of Technology (MIT)
摘要：This article proposes methods for identification of large-scale networked systems with guarantees that the resulting model will be contracting-a strong form of nonlinear stability-and/or monotone, i.e., order relations between states are preserved. The main challenges that we address are simultaneously searching for model parameters and a certificate of model stability, and scalability to networks with hundreds or thousands of nodes. We propose a model set that admits convex constraints for st...
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作者：dos Reis de Souza, Alex; Efimov, Denis; Raissi, Tarek
作者单位：Centre National de la Recherche Scientifique (CNRS); CNRS - Institute for Information Sciences & Technologies (INS2I); Universite de Lille; Centrale Lille; ITMO University; heSam Universite; Conservatoire National Arts & Metiers (CNAM)
摘要：This article addresses the problem of robust output feedback model predictive control for discrete-time, constrained, linear parameter-varying systems subject to (bounded) state and measurement disturbances. The vector of scheduling parameters is assumed to be an unmeasurable signal taking values in a given compact set. The proposed controller incorporates an interval observer, that uses the available measurement to update the set-membership estimation of the states, and an interval predictor,...
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作者：Subotic, Irina; Hauswirth, Adrian; Dorfler, Florian
作者单位：Swiss Federal Institutes of Technology Domain; ETH Zurich
摘要：Inspired by classical sensitivity results for nonlinear optimization, we derive and discuss new quantitative bounds to characterize the solution map and dual variables of a parametrized nonlinear program. In particular, we derive explicit expressions for the local and global Lipschitz constants of the solution map of nonconvex or convex optimization problems, respectively. Our results are geared towards the study of time-varying optimization problems, which are commonplace in various applicati...
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作者：Pillonetto, Gianluigi; Scampicchio, Anna
作者单位：University of Padua; Swiss Federal Institutes of Technology Domain; ETH Zurich
摘要：Recent studies have shown how regularization may play an important role in linear system identification. An effective approach consists of searching for the impulse response in a high-dimensional space, e.g., a reproducing kernel Hilbert space (RKHS). Complexity is then controlled using a regularizer, e.g., the RKHS norm, able to encode smoothness and stability information. Examples are RKHSs induced by the so-called stable spline or tuned-correlated kernels, which contain a parameter that reg...
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作者：Rastgoftar, Hossein; Atkins, Ella M.; Kolmanovsky, Ilya
作者单位：University of Arizona; University of Michigan System; University of Michigan
摘要：The continuum deformation leader-follower cooperative control strategy models vehicles in a multiagent system as particles of a deformable body. A desired continuum deformation is defined based on leaders' trajectories and acquired by followers in real time through local communication. The existing continuum deformation theory requires followers to be placed inside the convex simplex defined by leaders. This constraint is relaxed in this article. We prove that, under suitable assumptions. any ...
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作者：Wang, Weixin; Lee, Taeyoung
作者单位：George Washington University
摘要：In this article, a new probability distribution, referred to as the matrix Fisher-Gaussian distribution, is proposed on the product manifold of three-dimensional special orthogonal group and Euclidean space. It is constructed by conditioning a multivariate Gaussian distribution from the ambient Euclidean space into the manifold, while imposing a certain geometric constraint on the correlation term to avoid over parameterization. The unique feature is that it may represent large uncertainties i...
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作者：Kundu, Atreyee
作者单位：Indian Institute of Science (IISC) - Bangalore
摘要：This article deals with the stability of discrete-time switched linear systems whose all subsystems are unstable and the set of admissible switching signals obeys prespecified restrictions on switches between the subsystems and dwell times on the subsystems. We derive sufficient conditions on the subsystems matrices such that a switched system is globally exponentially stable under a set of purely time-dependent switching signals that obeys the given restrictions. The main apparatuses for our ...
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作者：Ramaswamy, Vinod; Paccagnan, Dario; Marden, Jason R.
作者单位：University of Colorado System; University of Colorado Boulder; University of California System; University of California Santa Barbara; University of California System; University of California Santa Barbara; University of California System; University of California Santa Barbara
摘要：The price of anarchy and price of stability are two well-studied performance metrics that seek to characterize the inefficiency of equilibria in distributed systems. The distinction between these two performance metrics centers on the equilibria that they focus on: the price of anarchy characterizes the quality of the worst-performing equilibria, while the price of the stability characterizes the quality of the best-performing equilibria. While much of the literature focuses on these metrics f...
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作者：Yue, Dongdong; Baldi, Simone; Cao, Jinde; De Schutter, Bart
作者单位：Southeast University - China; Southeast University - China; Delft University of Technology; Yonsei University
摘要：This article addresses the continuous-time distributed optimization of a strictly convex summation-separable cost function with possibly nonconvex local functions over strongly connected digraphs. Distributed optimization methods in the literature require convexity of local functions, or balanced weights, or vanishing step sizes, or algebraic information (eigenvalues or eigenvectors) of the Laplacian matrix. The solution proposed here covers both weight-balanced and unbalanced digraphs in a un...
