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作者：Hu, Zhe; Chen, Zhiyong; Zhang, Hai-Tao
作者单位：Huazhong University of Science & Technology; Huazhong University of Science & Technology; University of Newcastle
摘要：For a linear time varying (LTV) system containing stable and unstable modes, this article gives the necessary and sufficient conditions for asymptotic decoupling of stable modes. Establishment of the conditions relies on newly developed techniques for analyzing matrix exponential and state transition matrix. The research exploits fundamental properties of LTV systems and advances the knowledge base of linear control theory. The results can find a direct application in the autonomous synchroniz...
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作者：Kucera, Vladimir
作者单位：Czech Technical University Prague
摘要：A solution is presented to a long-standing open problem of control theory, the decoupling of linear systems using static-state feedback while assuring stability. Both diagonal and block decoupling is considered. The earliest known investigation of system decoupling dates back to 1934 and all past stable solutions were obtained under restrictive assumptions on system, block structure, or on a particular form of the control law. Most often, the results were limited to regular state feedback. The...
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作者：Liu, Yan; Liu, Jun; Li, Wenxue
作者单位：Harbin Institute of Technology; University of Waterloo
摘要：This article considers the stabilization of highly nonlinear stochastic coupled systems (HNSCSs) with time delay via periodically intermittent control. This article is motivated by that known differential inequalities to deal with periodically intermittent control do not work for HNSCSs, since the coefficients of the system do not satisfy the linear growth condition. In order to cope with this problem, a novel Halanay-type inequality is established to handle periodically intermittent control, ...
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作者：Tsukamoto, Hiroyasu; Chung, Soon-Jo
作者单位：California Institute of Technology; California Institute of Technology
摘要：This article presents ConVex optimization-based Stochastic steady-state Tracking Error Minimization (CV-STEM), a new state feedback control framework for a class of Ito stochastic nonlinear systems and Lagrangian systems. Its innovation lies in computing the control input by an optimal contraction metric, which greedily minimizes an upper bound of the steady-state mean squared tracking error of the system trajectories. Although the problem of minimizing the bound is nonconvex, its equivalent c...
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作者：Yu, Hao; Chen, Tongwen
作者单位：University of Alberta
摘要：This article studies Zeno behavior, where an infinite number of events occur in a finite-time interval, in the event-triggered multiagent systems that aim at achieving consensus in finite time. Two popular scenarios in the first-order multiagent systems with model-based event-triggered controllers are considered. One is that the event trigger in each agent samples the absolute information, and decides when to broadcast the information to its neighbors, and the other is that the update of contr...
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作者：Dias, Elaine Santos; Costa Alberto, Luis Fernando; Amaral, Fabiolo Moraes; Chiang, Hsiao-Dong
作者单位：Universidade de Sao Paulo; Cornell University
摘要：A comprehensive theory for the stability boundaries and the stability regions of a general class of nonlinear discrete dynamical systems is developed in this article. This general class of systems is modeled by diffeomorphisms and admits as limit sets only fixed points and periodic orbits. Topological and dynamical characterizations of stability boundaries are developed. Necessary and sufficient conditions for fixed points and periodic orbits to lie on the stability boundary are derived. Numer...
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作者：Kochdumper, Niklas; Althoff, Matthias
作者单位：Technical University of Munich
摘要：We introduce sparse polynomial zonotopes, a new set representation for formal verification of hybrid systems. Sparse polynomial zonotopes can represent nonconvex sets and are generalizations of zonotopes, polytopes, and Taylor models. Operations like Minkowski sum, quadratic mapping, and reduction of the representation size can be computed with polynomial complexity w.r.t. the dimension of the system. In particular, for reachability analysis of nonlinear systems, the wrapping effect is substan...
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作者：Mishra, Vikas Kumar; Markovsky, Ivan
作者单位：Vrije Universiteit Brussel
摘要：We consider exact system identification in the behavioral setting: Given an exact (noise-free) finite time series, find the set of bounded complexity linear time-invariant systems that fit the data exactly. First, we modify the notion of the most powerful unfalsified model for the case of finite data by fixing the number of inputs and minimizing the order. Then, we give necessary and sufficient identifiability conditions, i.e., conditions under which the true data generating system coincides w...
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作者：Chen, Liangming; Cao, Ming; Li, Chuanjiang
作者单位：University of Groningen; Harbin Institute of Technology
摘要：Motivated by the challenging formation stabilization problem for mobile robotic teams wherein no distance or relative position measurements are available but each robot can only measure some of relative angles with respect to its neighbors in its local coordinate frame, we develop the notion of angle rigidity for a multipoint framework, named angularity, consisting of a set of nodes embedded in a Euclidean space, and a set of angle constraints among them. Different from bearings or angles defi...
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作者：Xue, Wenchao; Chen, Sen; Zhao, Cheng; Huang, Yi; Su, Jianbo
作者单位：Chinese Academy of Sciences; Academy of Mathematics & System Sciences, CAS; Chinese Academy of Sciences; University of Chinese Academy of Sciences, CAS; Shaanxi Normal University; Shandong University; Shanghai Jiao Tong University
摘要：Proportional-integral (PI) control/loop has been widely used in numerous industrial processes. This article focuses on integrating uncertainty estimator into PI controller for better robustness and transient performance against uncertain nonlinear coupling dynamics and time-varying disturbances. First, the descriptions for the sizes of three kinds of uncertainties in a class of multi-input-multi-output nonlinear systems are discussed. Then, the tuning laws of the typical uncertainty estimator,...
