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作者：Ye, Mengbin; Liu, Ji; Anderson, Brian D. O.; Cao, Ming
作者单位：Curtin University; Curtin University; State University of New York (SUNY) System; Stony Brook University; Australian National University; University of Groningen
摘要：This article focuses on properties of equilibria and their associated regions of attraction for continuous-time nonlinear dynamical systems. The classical Poincare-Hopf theorem is used to derive a general result providing a sufficient condition for the system to have a unique equilibrium. The condition involves the Jacobian of the system at possible equilibria and ensures that the system is in fact locally exponentially stable. We apply this result to the susceptible-infected-susceptible (SIS)...
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作者：Lai, Aiwen; Lahaye, Sebastien; Komenda, Jan
作者单位：Xiamen University; Universite d'Angers; Czech Academy of Sciences; Institute of Mathematics of the Czech Academy of Sciences
摘要：In this article, we deal with state estimation of timed discrete event systems that are modeled by max-plus automata (MPAs), where only some events are observable. For a given MPA, a formal procedure is first proposed for constructing its observer by extending our previous concept of observer for unambiguous MPAs to polynomially ambiguous MPAs. As an application, we present a necessary and sufficient condition based on the constructed observer to check the critical observability of MPAs. The s...
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作者：You, Dan; Wang, Shouguang; Zhou, Mengchu; Seatzu, Carla
作者单位：University of Cagliari; Zhejiang Gongshang University; New Jersey Institute of Technology
摘要：This article addresses the robust control problem of discrete event systems assuming that replacement attacks may occur, thus making it appear that an event that has occurred looks like another event. In particular, we assume that this is done by tampering with the sensor-readings in the sensor communication channel. Specifically, we use Petri nets as the reference formalism to model the plant and assume a control specification in terms of a generalized mutual exclusion constraint. We propose ...
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作者：Zhao, Yu; Xian, Chengxin; Wen, Guanghui; Huang, Panfeng; Ren, Wei
作者单位：Northwestern Polytechnical University; Southeast University - China; University of California System; University of California Riverside
摘要：This article addresses the design problem of distributed event-triggered average tracking (DETAT) algorithms for homogeneous and heterogeneous multiagent systems. The objective of the DETAT problem is to develop a group of distributed cooperative control algorithms with event-triggered strategies for agents to track the average of multiple time-varying reference signals. First, for homogeneous linear multiagent systems, based on sampling measurements and model-relied holding techniques, a clas...
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作者：Feng, Hongyinping; Qian, Yuhua
作者单位：Shanxi University; Shanxi University
摘要：In this article, we propose a new linear differentiator, called extended dynamics differentiator (EDD), by the extended dynamics approach. By a proper choice of extended dynamics, the EDD can make use of the prior signal dynamics as much as possible. As a result, the accuracy of the EDD can be improved greatly provided we have known some signal dynamics before signal differentiation. When all the signal dynamics are known, the EDD will reach zero derivative tracking error. When only some bound...
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作者：Lorenzetti, Joseph; McClellan, Andrew; Farhat, Charbel; Pavone, Marco
作者单位：Stanford University
摘要：Model predictive controllers use dynamics models to solve constrained optimal control problems. However, computational requirements for real-time control have limited their use to systems with low-dimensional models. Nevertheless, high-dimensional models arise in many settings, for example, discretization methods for generating finite-dimensional approximations to partial differential equations can result in models with thousands to millions of dimensions. In such cases, reduced-order models (...
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作者：Rong, Lina
作者单位：Nanjing University of Posts & Telecommunications
摘要：In this article, the H(infinity)optimization approach is used to study the consensusability margin optimization problems for distributed second-order sampled-data multiagent systems with communication uncertainties. The considered uncertainties are frequency-dependent and bounded in H(infinity )norms. Specifically, for both the state-based protocols with relative damping and absolute damping, this article attempts to answer two questions: 1) how to characterize the control parameters for achie...
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作者：Wang, Lingfei; Hong, Yiguang; Shi, Guodong; Altafini, Claudio
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; Tongji University; University of Sydney; Linkoping University
摘要：A biased assimilation model of opinion dynamics is a nonlinear model, in which opinions exchanged in a social network are multiplied by a state-dependent term having the bias as exponent and expressing the bias of the agents toward their own opinions. The aim of this article is to extend the bias assimilation model to signed social networks. We show that while for structurally balanced networks, polarization to an extreme value of the opinion domain (the unit hypercube) always occurs regardles...
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作者：Wang, Zhengyu
作者单位：Nanjing University
摘要：Linear complementarity system (LCS) consists of an ordinary differential equation (ODE) and a linear complementarity problem (LCP). In this article, we propose an exponential time-stepping method for solving LCS, which uses exponential integrator to discretize the ODE and solves the LCPs at the discrete time points. Numerical results are reported for illustrating its good performance.
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作者：Feng, Jun-E; Li, Yiliang; Fu, Shihua; Lyu, Hongli
作者单位：Shandong University; Liaocheng University; Liaocheng University; Lakehead University
摘要：The coordinate transformation technique is a traditional method for solving the disturbance decoupling problem (DDP) of Boolean control networks (BCNs). But under this technique, the obtained conditions are not necessary for the solvability of DDP of original systems. Thus, this article investigates the DDP of Boolean networks (BNs) and BCNs in a new perspective. Based on the new definition of disturbance decoupling, the one-step evolutionary dynamic of states of BNs, shown as a table, is pres...
