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作者：Geng, Wen-Tao; Lin, Chong; Chen, Bing; Wang, Qing-Guo
作者单位：Qingdao University; Beijing Normal University; Beijing Normal-Hong Kong Baptist University
摘要：This technical note studies the analysis and control problem of rectangular descriptor systems (RDSs). First, we present the state-equivalent form of RDSs using the left (right) inverse of a matrix and demonstrate its equivalence to the original system in terms of admissibility. Subsequently, we introduce a minimum-order compensator (MOC) and establish a series of rank criteria for its application. The MOC is utilized to ensure that the closed-loop system is generalized regular, impulse-free, ...
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作者：Ochoa, Daniel E.; Poveda, Jorge I.
作者单位：University of California System; University of California San Diego
摘要：Multitime scale techniques, such as singular perturbations and averaging theory, have played an important role in the development of distributed Nash equilibrium seeking algorithms for network systems. Such techniques rely on the uniform asymptotic stability properties of the dynamics that evolve in each of the time scales of the closed-loop system. When such properties are absent, the synthesis of multitime scale Nash equilibrium-seeking algorithms is more challenging and it requires addition...
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作者：Xu, Wenqi; Wang, Tong; Qiu, Jianbin; Liu, Xiaoping
作者单位：Harbin Institute of Technology; Lakehead University
摘要：This article concentrates on the game-based optimal event-triggered control problem for a class of multi-input nonlinear continuous-time systems. The main objective is to improve the system performance. Furthermore, the optimal event-triggered conditions are derived to maximize the intersampling intervals. To simultaneously consider the optimality of control signals and event-triggered conditions, a novel two-layer game framework with redefined cost functions is developed. In the first layer, ...
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作者：Varkonyi, Peter L.
作者单位：Budapest University of Technology & Economics
摘要：Reliable quasi-static object manipulation and robotic locomotion require the verification of the stability of equilibria under unilateral contacts and friction. In a recent paper, Posa et al. (2016) demonstrated that sums-of-squares (SOS) programming can be used to verify the Lyapunov stability of planar systems via Lyapunov's direct method if impacts are inelastic. However, this method appears to be too conservative to verify the stability of some remarkably simple examples. In this article, ...
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作者：Wang, Hongxia; Zhang, Huanshui; Li, Lin; Fu, Minyue
作者单位：Shandong University of Science & Technology; Shandong Agricultural University; Southern University of Science & Technology; Southern University of Science & Technology
摘要：This article is concerned with linear quadratic regulation (LQR) and stabilization problems for discrete-time stochastic systems with multiple input channels and input delays. In comparison with single-input-channel problems, a key difficulty, induced by the different delays in different input channels, is that the information sets for multiple controllers are required to be asymmetric and coupled. A novel technique, referred to as orthogonal decomposition-reorganization, is proposed to conque...
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作者：Zhou, Lan; Gao, Dongxu; She, Jinhua; Zhang, Xian-Ming; Yan, Huaicheng
作者单位：Hunan University of Science & Technology; Tokyo University of Technology; Swinburne University of Technology; East China University of Science & Technology
摘要：This article presents a new disturbance-observer-based adaptive spatial repetitive control scheme that enhances tracking performance for a time-varying periodic reference signal in a rotational system with parametric and nonparametric uncertainties. First, operator theory is used to establish a spatial modified repetitive controller (SMRC) that incorporates the position-domain internal model of the time-varying periodic reference signal. Second, a full-order state observer is designed to estim...
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作者：Brandin, Bertil; Su, Rong; Lin, Liyong
作者单位：Nanyang Technological University
摘要：Brandin and Wonham introduced a timed supervisory control framework in 1994. The key innovations arguably were the introduction of tick events to model the passing of time, and the introduction of event forcing. The framework enriches the Ramadge-Wonham framework, albeit with the cost to deal with high modeling and synthesis complexities due to explicit enumeration of ticks. To address these challenges, the framework presented forgoes the explicit enumeration of tick events and instead relies ...
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作者：Guo, Luyao; Shi, Xinli; Yang, Shaofu; Cao, Jinde
作者单位：Southeast University - China; Southeast University - China; Southeast University - China; Southeast University - China; Southeast University - China; Purple Mountain Laboratories; Southeast University - China; Yonsei University
摘要：In this article, we propose a novel dual inexact splitting algorithm (DISA) for distributed convex composite optimization problems, where the local loss function consists of a smooth term and a possibly nonsmooth term composed of a linear mapping. The DISA, for the first time, eliminates the dependence of the convergent step-size range on the Euclidean norm of the linear mapping, while inheriting the advantages of the classic primal-dual proximal splitting algorithm (PD-PSA): simple structure ...
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作者：Guo, Yuqian; Wu, Yuhu; Li, Changxi; Gui, Weihua
作者单位：Central South University; Dalian University of Technology; Peking University
摘要：This study focuses on the problem of asymptotical stabilization of logic dynamical systems (LDSs) under the situation where the only available measurable information is the real-time output. We propose a novel time-invariant control strategy called output-based random control (OBRC), which breaks through the limitation of time-invariant deterministic output feedback (TIDOF). The TIDOF can be regarded as a special type of the OBRC, but the OBRC is capable of stabilizing some LDSs that cannot be...
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作者：Ortiz, Reynaldo; Egorov, Alexey; Mondie, Sabine
作者单位：CINVESTAV - Centro de Investigacion y de Estudios Avanzados del Instituto Politecnico Nacional; Saint Petersburg State University
摘要：In this article, we analyze the robust stability of integral delay systems with a single delay. We first derive a general result based on the complete type functional that depends on the Lyapunov delay matrix of the stable nominal system. We apply it directly to the study of integral equations with uncertain kernel and uncertain delay. The result is also helpful in analyzing nonlinear integral equations and computing exponential estimates of the solutions.
