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作者：Wang, Guo-Biao; Yan, Hong-Sen; Zheng, Xiao-Yi
作者单位：Southeast University - China
摘要：For nonlinear systems with stochastic uncertainties and input delay, the existing control approaches based on the robust mechanism are generally conservative in most practical scenarios. Within this context, a stochastic model predictive control (MPC) scheme based on uncertainty contraction is proposed here to reduce conservativeness and improve real-time performance. In terms of the Lyapunov-Razumikhin theorem, a robust variational controller (RVC) is deduced as the primary controller for the...
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作者：Colla, Sebastien; Hendrickx, Julien M.
作者单位：Universite Catholique Louvain
摘要：In this article, we present a methodology to automatically compute worst-case performance bounds for a large class of first-order decentralized optimization algorithms. These algorithms aim at minimizing the average of local functions that are distributed across a network of agents. They typically combine local computations and consensus steps. Our methodology is based on the approach of performance estimation problem (PEP), which allows computing the worst-case performance and a worst-case in...
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作者：Kim, Dohyun
作者单位：Sungkyunkwan University (SKKU)
摘要：We establish the convergence of a heterogeneous multiagent system on the unit sphere in even-dimensional Euclidean space. In this work, we show that all relative distances converge to some definite values, when the natural frequencies are completely determined diagonal matrices with half-dimension and the coupling strength is sufficiently larger than the maximal differences of the natural frequencies. Our result extends the previous results about practical aggregation where the maximal distanc...
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作者：Sau, Nguyen Huu; Thuan, Mai Viet
作者单位：Hanoi University of Industry (HaUI)
摘要：This article deals with the impulsive stability problem for positive linear differential-algebraic equations (DAEs) with a time-varying delay. First, a sufficient condition for the positivity of the considered system is addressed. Then, a new exponential stability criterion for positive linear DAEs with a time-varying delay is obtained based on a suitable change of variables. According to our results, a stable impulse-free system can keep its original stability property under certain destabili...
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作者：Zhang, Xiaoyu; Gao, Chuanhou; Dochain, Denis
作者单位：Zhejiang University; Zhejiang University; Universite Catholique Louvain
摘要：Motivated by the concept of the endotactic network, a kind of special geometric structure in chemical reaction networks developed for persistence analysis, we propose a new notion, named W-I-endotactic network. The corresponding network set is a larger class of set than the endotactic network, let alone the weakly reversible network. Based on an energy-like function, we prove that all 1-dimensional mass-action W-I-endotactic networks are persistent. Furthermore, we prove some higher dimensiona...
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作者：Harandi, Mohammad Reza Jafari; Taghirad, Hamid D.
作者单位：K. N. Toosi University of Technology
摘要：Stabilization of an underactuated mechanical system may be accomplished via energy shaping. Interconnection and damping assignment passivity-based control is an approach based on total energy shaping by assigning desired kinetic and potential energy to the system. This method requires solving a partial differential equation (PDE) related to the potential energy shaping of the system. In this short article, we focus on reformulating this PDE in order to be solved easier. For this purpose, two s...
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作者：Li, Weijian; Chen, Zihan; Lou, Youcheng; Hong, Yiguang
作者单位：Southern University of Science & Technology; Huawei Technologies; Chinese Academy of Sciences; Tongji University
摘要：A weight-balanced network plays an important role in the exact convergence of a distributed optimization algorithm, but is not always satisfied in practice. Different from most of existing works focusing on designing distributed algorithms, in this article, we analyze the convergence of a well-known distributed projected subgradient algorithm over time-varying general graph sequences, i.e., the weight matrices of the network are only required to be row stochastic instead of doubly stochastic. ...
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作者：Liu, Fengjiao; Wang, Lili; Fullmer, Daniel; Morse, A. Stephen
作者单位：University System of Georgia; Georgia Institute of Technology; University of California System; University of California Irvine; Yale University
摘要：In this article it is established that any jointly controllable, jointly observable, multichannel, discrete or continuous time linear system with a strongly connected neighbor {communication} graph can be exponentially stabilized with any pre-specified convergence rate using a time-invariant distributed linear control. As an illustration of how this finding can be used to deal with certain distributed tracking problems, a solution is given to a distributed set-point control problem for a conti...
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作者：Liu, Shenyu; Martinez, Sonia; Cortes, Jorge
作者单位：University of California System; University of California San Diego; Beijing Institute of Technology; University of California System; University of California San Diego
摘要：This article studies cyber-physical systems modeled with linear dynamics subject to attacks on the parameters. The attacker knows at all times the defense employed and injects a destabilizing piecewise Lipschitz time-varying attack signal. The defender does not know the specific attack and aims to preserve system stability. We propose a partitioning strategy for the set of possible attacks that generates a finite collection of candidate defenses such that, for each member of the partition, the...
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作者：Mattioni, Andrea; Wu, Yongxin; Le Gorrec, Yann
作者单位：Communaute Universite Grenoble Alpes; Institut National Polytechnique de Grenoble; Universite Grenoble Alpes (UGA); Centre National de la Recherche Scientifique (CNRS)
摘要：In this technical note, we consider the stability properties of a viscously damped Timoshenko beam equations with spatially varying parameters. With the help of the port-Hamiltonian framework, we first prove the existence of solutions and show, by the use of an appropriate Lyapunov function, that the system is exponentially stable and has an explicit decay rate. The explicit exponential bound is computed for an illustrative example for which we provide some numerical simulations.
