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作者:Cimini, Gionata; Bemporad, Alberto
作者单位:IMT School for Advanced Studies Lucca
摘要:This article presents a highly efficient method for robustly eliminating equality constraints in optimization problems arising from model predictive control (MPC). Such a condensing operation is often implemented to reduce the number of optimization variables through the direct elimination of state variables by substitution, a procedure which is prone to numerical instability and whose complexity scales linearly with the prediction horizon. We propose a novel blocked QR decomposition algorithm...
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作者:Huang, Longyang; Zhao, Lin; Zhang, Weidong
作者单位:Shanghai Jiao Tong University; National University of Singapore; Hainan University
摘要:Reinforcement learning (RL) has demonstrated promising results in the data-driven design of linear quadratic regulator (LQR) controllers. However, existing RL-based LQR controller design methods face challenges regarding computational complexity, sample complexity, system stability, and the requirement for a stabilizing gain. To address these issues, this article proposes a novel low-complexity Q-value iteration algorithm. We establish the convergence and monotonicity of the iterative sequence...
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作者:Li, Lianhua; Zhao, Kai; Song, Yongduan
作者单位:Chongqing University; Chongqing University
摘要:Achieving leaderless asymptotic synchronization for uncertain multiagent systems while guaranteeing prescribed transient performance remains a significant challenge for traditional methods. This difficulty arises from the redundancy between relative errors and performance functions in nonlinear dynamics, which obscures the explicit expression of local topological information in terms of the Laplacian matrix. In this work, we propose an adaptive asymptotic consensus control with unified prescri...
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作者:Liu, Wenting; Lei, Jinlong; Yi, Peng; Pavel, Lacra
作者单位:Tongji University; Tongji University; Tongji University; University of Toronto
摘要:This article considers online learning for open noncooperative games where players can join and leave the system freely, while the current number of players in the system and the opponents' identities are not available. Unlike existing works on closed noncooperative games that assume a fixed number of players, the open scenario setting is characterized by time-varying payment functions as well as a time-varying number of players. We present an online learning mechanism based on the best-respon...
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作者:Liu, Yuan; Ling, Qiang
作者单位:Chinese Academy of Sciences; University of Science & Technology of China, CAS
摘要:This technical note investigates the stabilization of a continuous-time linear system, whose feedback loop is closed over a digital communication network with bit rate constraints and network delay. To reduce the required bit rate for the stabilization of the concerned system, we propose a novel quantization strategy, which can utilize both the quantization bits and the time information to encode the system state. The time information is carried by event-triggering time instants and transmissi...
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作者:Tang, Tianyu; Lu, Jianquan; Azuma, Shun-ichi; Zheng, Wei Xing
作者单位:Southeast University - China; Kyoto University; Western Sydney University
摘要:Symmetric Boolean networks (SBNs) are a class of binary-valued dynamical systems, where the couplings in logical iteration formulas (LIFs) are equally constrained within symmetric logic operators. Its evolution can remain invariant under arbitrary perturbation of literals in LIFs, generating important applications in cryptography, software design, and threshold-based gene regulation. Building upon this property, we develop a novel distributed approach from (n & times; n)-dimensional dependence...
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作者:Reiter, Sean; Duff, Igor Pontes; Gosea, Ion Victor; Gugercin, Serkan
作者单位:New York University; Max Planck Society
摘要:In this work, we consider the H-2-optimal model reduction of dynamical systems that are linear in the state equation with up to a quadratic nonlinearity in the output equation. As our primary theoretical contributions, we derive gradients of the squared H(2 )system error with respect to the reduced model quantities and, from the stationary points of these gradients, introduce Gramian-based first-order necessary conditions for the H-2-optimal approximation of a linear quadratic output (LQO) sys...
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作者:Jang, Inkyu; Kim, H. Jin
作者单位:Seoul National University (SNU)
摘要:This article introduces a new upper bound on the escape probability of a stochastic system from a super zero level set of a zeroing-type stochastic control barrier function (SCBF). For both discrete-time and continuous-time cases, a time-varying probability bound is built by constructing a supermartingale and then applying Ville's inequality. While existing martingale-based probability bounds depend only on the expectation of change of the SCBF value, the proposed bound also takes into account...
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作者:Xiao, Shuixin; Liang, Weichao; Wang, Yuanlong; Dong, Daoyi; Petersen, Ian R.; Ugrinovskii, Valery
作者单位:University of New South Wales Sydney; Australian National University; University of Melbourne; Xi'an Jiaotong University; Chinese Academy of Sciences; Academy of Mathematics & System Sciences, CAS; Chinese Academy of Sciences; University of Chinese Academy of Sciences, CAS; University of Technology Sydney; Australian National University
摘要:The estimation of all the parameters in an unknown quantum state or measurement device, commonly known as quantum state tomography (QST) and quantum detector tomography (QDT), is crucial for comprehensively characterizing and controlling quantum systems. In this article, we introduce a framework, in two different bases, that utilizes multiple quantum processes to simultaneously identify a quantum state and a detector. We develop a closed-form algorithm for this purpose and prove that the mean ...
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作者:De Iuliis, Vittorio; Manes, Costanzo
作者单位:Vita-Salute San Raffaele University; University of L'Aquila
摘要:This work studies 1-moment stability for continuous-time Markov jump linear systems under both stationary and time-varying transition rates. For stationary transition rates, we propose novel sufficient stability conditions that are stated in terms of linear programs. These conditions offer a less restrictive and computationally simpler stability characterization compared to the commonly used mean-square stability analysis. Moreover, they offer a simple approach to also investigate the weaker n...