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作者：Bourdin, Loic; Trelat, Emmanuel
作者单位：Universite de Limoges; Inria; Sorbonne Universite; Centre National de la Recherche Scientifique (CNRS); Universite Paris Cite
摘要：Consider, on the one part, a general nonlinear finite- dimensional optimal control problem and assume that it has a unique solution x*. On the other part, consider the sampled-data control version of it. Under appropriate assumptions, we prove that the optimal state of the sampled-data problem converges uniformly to x* as the norm of the partition tends to zero. Moreover, applying the Pontryagin maximum principle (PMP) to both problems, we prove that, if x* has a unique weak extremal lift with...
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作者：Kim, Junsoo
作者单位：Seoul National University of Science & Technology
摘要：Homomorphic encryption applied to a networked controller enables secure operation, but in most cases it allows for addition and multiplication over integers only, because of computation efficiency. Several related results deal with such constraints by means of re-encrypted controller output, based on which the controller can be reconstructed and operate over integers. This article presents two modified methods based on the output re-encryption, which will further reduce the required communicat...
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作者：Nortmann, Benita; Monti, Andrea; Sassano, Mario; Mylvaganam, Thulasi
作者单位：Imperial College London; Helmholtz Association; German Aerospace Centre (DLR)
摘要：Determining feedback Nash equilibrium solutions of nonzero-sum dynamic games is generally challenging. In this article, we propose four different iterative algorithms to find Nash equilibrium strategies for discrete-time linear quadratic games. The strategy update laws are based on the solution of either Lyapunov or Riccati equations for each player. Local convergence criteria are discussed. Motivated by the fact that in many practical scenarios each player in the game may have access to diffe...
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作者：Zheng, Jun; Zhu, Guchuan
作者单位：Southwest Jiaotong University; Universite de Montreal; Polytechnique Montreal
摘要：In this note, we study the global input-to-state stability (ISS) of the viscous Burgers' equation with respect to Dirichlet boundary disturbances. More specifically, under the assumption that the reaction coefficient is strictly less than pi(2), we establish first the global ISS in the spatial L-infinity-norm for the viscous Burgers' equation with Dirichlet boundary disturbances. Then, under the assumption that the reaction coefficient is nonpositive (and respectively strictly negative), we es...
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作者：Bao, HanQiu; Kang, Qi; Shi, XuDong; Zhou, MengChu; An, Jing; Al-Turki, Yusuf
作者单位：Tongji University; Tongji University; Zhejiang Gongshang University; Shanghai Institute of Technology; King Abdulaziz University; King Abdulaziz University
摘要：Maximizing the performance of a system without reference over an infinite horizon is a challenging problem for iterative control tasks. This article introduces a value approximator-based learning model predictive control framework that aims to enhance the system's performance by learning from previous trajectories. We introduce a value approximator to recursively reconstruct a terminal cost function and reformulate an infinite time optimization problem to a finite time one. This work proposes ...
