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作者：Arnstrom, Daniel; Broman, David; Axehill, Daniel
作者单位：Uppsala University; Royal Institute of Technology; Linkoping University
摘要：We propose the first method that determines the exact worst-case execution time (WCET) for implicit linear model predictive control (MPC). Such WCET bounds are imperative when MPC is used in real time to control safety-critical systems. The proposed method applies when the quadratic programming solver in the MPC controller belongs to a family of well-established active-set solvers. For such solvers, we leverage a previously proposed complexity certification framework to generate a finite set o...
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作者：Zhao, Dongdong; Kang, Yu; Zhao, Yun-Bo; Xu, Li; Yan, Shi
作者单位：Lanzhou University; Chinese Academy of Sciences; University of Science & Technology of China, CAS; Akita Prefectural University
摘要：The notion of constrained common invariant subspaces (CCISs) is proposed in this article as a generalization of the well-known invariant subspace to study the structural properties of multiple matrices. Specifically, some necessary and sufficient conditions for the existence of a CCIS are established to provide a methodology to compute such a CCIS. Then, the properties of CCISs and their relation to common eigenvectors are revealed. The existence of common eigenvectors leads to the existence o...
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作者：Meng, Yiming; Liu, Jun
作者单位：University of Waterloo
摘要：Stability and safety are crucial in safety-critical control of dynamical systems. The reach-avoid-stay objectives for deterministic dynamical systems can be effectively handled by formal methods as well as Lyapunov methods with soundness and approximate completeness guarantees. However, for continuous-time stochastic dynamical systems, probabilistic reach-avoid-stay problems are viewed as challenging tasks. Motivated by the recent surge of applications in characterizing safety-critical propert...
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作者：Yang, Zixuan; Wang, Xiaofan; Wang, Lin
作者单位：Shanghai Jiao Tong University; Shanghai Jiao Tong University; Shanghai University; Shanghai Institute of Technology
摘要：The controllability of networked sampled-data systems with zero-order holders on the control and transmission channels is explored, where single- and multirate sampling patterns are considered, respectively. The effects of sampling on the controllability of networked systems are analyzed, with some necessary and/or sufficient controllability conditions derived. Different from the sampling control of single systems, the pathological sampling of node systems could be eliminated by an appropriate...
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作者：Lee, Donghwan
作者单位：Korea Advanced Institute of Science & Technology (KAIST)
摘要：Q-learning is known as one of the fundamental reinforcement learning (RL) algorithms. Its convergence has been the focus of extensive research over the past several decades. Recently, a new finite-time error bound and analysis for Q-learning was introduced using a switching system framework. This approach views the dynamics of Q-learning as a discrete-time stochastic switching system. The prior study established a finite-time error bound on the averaged iterates using Lyapunov functions, offer...
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作者：Nie, Rong; Du, Wenli; Li, Zhongmei; He, Shuping
作者单位：East China University of Science & Technology; Anhui University; East China University of Science & Technology
摘要：This study focuses on the finite-time consensus tracking problem for multi-agent systems (MASs) subject to random abrupt changes via distributed asynchronous sliding mode control (SMC). In particular, Markov jump model is exploited to describe the random abrupt changes in MASs parameters caused by external factors. Moreover, considering the nonsynchronization between the controller mode and the system mode caused by the delayed measurements between agents, a continuous-time hidden Markov model...
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作者：Hua, Chang-Chun; Li, Hao; Li, Kuo; Ning, Pengju
作者单位：Yanshan University; Hebei University of Science & Technology; University of Duisburg Essen
摘要：This article studies the adaptive prescribed-time control problem for a class of nonlinear systems with unknown time-varying control coefficients. Existing methods for unknown control direction problems can only achieve asymptotic stability based on Barbalat's lemma. Different from these results, we present a new theorem in conjunction with Nussbaum functions to achieve the prescribed-time stability. Meanwhile, the conservative condition of Nussbaum parameters is relaxed under time-varying con...
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作者：Emzir, Muhammad F.; Zhao, Zheng; Cheded, Lahouari; Sarkka, Simo
作者单位：King Fahd University of Petroleum & Minerals; Uppsala University; Aalto University
摘要：The automatic projection filter is a recently developed numerical method for projection filtering that leverages sparse-grid integration and automatic differentiation. However, its accuracy is highly sensitive to the accuracy of the cumulant-generating function computed via the sparse-grid integration, which in turn is also sensitive to the choice of the bijection from the canonical hypercube to the state space. In this article, we propose two new adaptive parametric bijections for the automat...
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作者：Han, Chunyan; Wang, Zidong; Zhang, Huanshui; Date, Paresh
作者单位：University of Jinan; Brunel University; Shandong University of Science & Technology; Brunel University
摘要：This article investigates the stabilization and optimal control problems for Markov jump linear system (MJLS) with multiplicative noises and input delays. By overcoming the substantive difficulty resulting from the invalidity of the separation principle, we provide a complete solution to the addressed problems by means of 1) necessary and sufficient solvability, and the analytical formula on optimal finite horizon control in line with a generalized coupled difference Riccati equation; and 2) n...
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作者：Li, Bin; Guan, Tao; Dai, Li; Duan, Guang-Ren
作者单位：Sichuan University; Beijing Institute of Technology; Harbin Institute of Technology
摘要：An output feedback stochastic model predictive control is proposed in this article for a class of stochastic linear discrete-time systems, in which the uncertainties from external disturbance, measurement noise, and initial state estimation error are all considered. Particularly, the support sets of the uncertainties are unbounded and the distributions are not exactly known. Based on distributionally robust optimization, a deterministic convex reformulation is derived for handling chance const...
