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作者:Chen, Yuzhe; Chen, Ci; Kang, Jiawen; Lewis, Frank L.; Xie, Shengli
作者单位:Guangdong University of Technology; University of Texas System; University of Texas Arlington
摘要:This study seeks to develop a data-driven output-feedback homotopic policy iteration for assuring optimal performance of linear unknown continuous-time systems. Conventional policy iteration approaches often necessitate the availability of a stabilizing controller for initialization, posing constraints on output-feedback designs, particularly when dealing with partial measurements. To overcome such a constraint, we introduce a homotopy-based output-feedback policy iteration technique tailored ...
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作者:Ghallab, Ahmed G.; Mabrok, Mohammed A.; Petersen, Ian R.
作者单位:Australian National University; Egyptian Knowledge Bank (EKB); Fayoum University; Qatar University; Australian National University
摘要:Negative imaginary (NI) systems theory constitutes a well-established theoretical framework for analyzing and designing linear-time-invariant control systems. This article extends NI systems theory to the nonlinear domain using time-domain interpretations of the linear NI property. We formally define the nonlinear negative imaginary (NNI) property for general nonlinear systems using dissipativity notions with respect to a relevant work rate. An NNI system is shown to be dissipative/passive fro...
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作者:Jiang, Yi; Yang, Tao; Gao, Weinan; Wu, Jin; Chai, Tianyou; Lewis, Frank L.
作者单位:Huazhong University of Science & Technology; Huazhong University of Science & Technology; Northeastern University - China; Northeastern University - China; University of Science & Technology Beijing; University of Texas System; University of Texas Arlington
摘要:This article studies an adaptive discrete-time linear H-infinity control problem with networked induced dropouts. First, such a problem is formulated as a zero-sum game problem, and it is shown that the formulated problem can be solved via an optimal feedback control policy and a worst disturbance policy. These policies result from one positive-definite solution to a modified game algebraic Riccati equation (MGARE). Then, the solvability of the MGARE, the stochastic asymptotical stability, and...
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作者:Vaidya, Umesh
作者单位:Clemson University
摘要:In this article, we establish a connection between the spectral theory of the Koopman operator and the solution of the Hamilton-Jacobi (HJ) equation. The HJ equation occupies a central place in systems theory, and its solution is of interest in various control problems, including optimal control, robust control, and input-output analysis. A Hamiltonian dynamical system can be associated with the HJ equation and the solution of the HJ equation can be extracted from the Hamiltonian system in the...
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作者:Lew, Thomas; Bonalli, Riccardo; Pavone, Marco
作者单位:Toyota Motor Corporation; Universite Paris Saclay; Centre National de la Recherche Scientifique (CNRS); Stanford University
摘要:We study the convex hulls of reachable sets of nonlinear systems with bounded disturbances and uncertain initial conditions. Reachable sets play a critical role in control, but remain notoriously challenging to compute, and existing overapproximation tools tend to be conservative or computationally expensive. In this work, we characterize the convex hulls of reachable sets as the convex hulls of solutions of an ordinary differential equation with initial conditions on the sphere. This finite-d...
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作者:Zhang, Xi-Rui; Zhao, Zhi-Liang; Liu, Tengfei
作者单位:Shaanxi Normal University; North University of China; Northeastern University - China
摘要:This article addresses the finite-time consensus problem for multiagent systems with directed information exchange graphs under the spanning tree assumption. A crucial strategy is to develop a homogeneous approach that goes beyond existing Lyapunov-based methods for finite-time consensus of multiagent systems subject to undirected information exchange graphs and accordingly symmetric Laplacian matrices. This article proposes two classes of distributed controllers (edge-based and node-based) fo...
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作者:Akgun, Orhan Eren; Dayi, Arif Kerem; Nedic, Angelia; Gil, Stephanie
作者单位:Harvard University; Arizona State University; Arizona State University-Tempe
摘要:We investigate the problem of learning the trustworthiness of agents in a directed graph, where agents receive stochastic trust information about their in-neighbors. We consider a setting where an unknown subset of agents may be malicious and disseminate misinformation about the trustworthiness of other agents. We present a learning protocol where agents determine their trusted neighborhoods based on the stochastic trust information they receive, and leverage the opinions of their trusted neig...
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作者:Leite, Joao Marcelo L. G.; Marujo, Lino G.; Arruda, Edilson F.
作者单位:Universidade de Sao Paulo; Insper; Universidade Federal do Rio de Janeiro; University of Southampton; Solent University
摘要:In this article, we present two novel approaches to accelerate the convergence of a class of Markov decision problems with stationary state space components, which iterate on reduced state and action spaces and converge to an optimal policy. The time aggregation-based algorithm partitions the state space into disjoint sets, one for each possible combination of the nonstationary components, and iterates in the sets. The local search policy set iteration algorithm introduces a novel modified pol...
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作者:Long, Mingkang; Su, Housheng; Zheng, Wei Xing; Wang, Yong; Su, Rong
作者单位:Nanyang Technological University; Huazhong University of Science & Technology; Western Sydney University
摘要:In this article, we investigate adaptive event-triggered distributed state estimation problems for jointly detectable linear time-invariant (LTI) systems with unknown inputs over directed communication networks. In order to reduce the communication burden, by designing a novel event-triggered mechanism with composite triggering conditions, an adaptive event-triggered distributed observer is proposed for unknown-input LTI systems. Then, it is theoretically proved that the proposed observer can ...
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作者:Ren, Zhaolin; Ren, Tongzheng; Ma, Haitong; Li, Na; Dai, Bo
作者单位:Harvard University; University of Texas System; University of Texas Austin
摘要:This article proposes an approach, spectral dynamics embedding control, to optimal control for nonlinear stochastic systems. This method reveals an infinite-dimensional feature representation induced by the system's nonlinear stochastic dynamics, enabling a linear representation of the state-action value function. For practical implementation, this representation is approximated using finite-dimensional truncations, specifically via two prominent kernel approximation methods: random feature tr...