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作者:Derpich, Milan S.; Ostergaard, Jan
作者单位:Universidad Tecnica Federico Santa Maria; Aalborg University
摘要:Theorem 4.1 in the 2011 paper A Framework for Control System Design Subject to Average Data-Rate Constraints allows one to lower bound average operational data rates in feedback loops (including the situation in which encoder and decoder have side information). Unfortunately, its proof is invalid. In this note, we first state the theorem and explain why its proof is flawed, and then provide a correct proof under weaker assumptions.
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作者:Nikitin, Denis; Canudas-de-Wit, Carlos; Frasca, Paolo
作者单位:Centre National de la Recherche Scientifique (CNRS); Communaute Universite Grenoble Alpes; Universite Grenoble Alpes (UGA)
摘要:In this article, we present a continuation method, which transforms spatially distributed ordinary differential equation (ODE) systems into a continuous partial differential equation (PDE). We show that this continuation can be performed for both linear and nonlinear systems, including multidimensional, space-varying, and time-varying systems. When applied to a large-scale network, the continuation provides a PDE describing the evolution of a continuous-state approximation that respects the sp...
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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:Anand, Mahathi; Lavaei, Abolfazl; Zamani, Majid
作者单位:University of Munich; Swiss Federal Institutes of Technology Domain; ETH Zurich; University of Colorado System; University of Colorado Boulder
摘要:This article is concerned with a compositional approach for the construction of control barrier certificates for large-scale interconnected stochastic systems while synthesizing hybrid controllers against high-level logic properties. Our proposed methodology involves decomposition of interconnected systems into smaller subsystems and leverages the notion of control sub-barrier certificates of subsystems, enabling one to construct control barrier certificates of interconnected systems by employ...
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作者:Mele, Adriano; De Tommasi, Gianmaria; Pironti, Alfredo
作者单位:University of Naples Federico II
摘要:In this article, the finite-time stabilization problem is solved for a linear time-varying system with unknown control direction by exploiting a modified version of the classical extremum-seeking algorithm. We propose to use a suitable oscillatory input to modify the system dynamics, at least in an average sense, so as to satisfy a differential linear matrix inequality condition, which in turn guarantees that the system's state remains inside a prescribed time-varying hyperellipsoid in the sta...
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作者:Lv, Xiang
作者单位:Shanghai Normal University
摘要:This article is devoted to the existence and the global stability of stationary solutions for stochastic Hopfield neural networks with time delays and additive white noises. Using the method of random dynamical systems, we present a new approach to guarantee that the infinite-dimensional stochastic flow generated by stochastic delay differential equations admits a globally attracting random equilibrium in the state-space of continuous functions. An example is given to illustrate the effectiven...
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作者:McAllister, Robert D.; Rawlings, James B.
作者单位:University of California System; University of California Santa Barbara
摘要:We introduce a new class of large, infrequent disturbances to complement the small, persistent disturbances typically considered in robustness analysis. This new class of disturbances includes discrete disturbances that become pertinent when considering discrete actuators and production scheduling in control problems. To properly account for the infrequent nature of these disturbances, we define a stochastic form of robustness. Under suitable assumptions, we prove that certain closed-loop syst...
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作者:Shao, Yu; Park, Ju H.; Xu, Shengyuan
作者单位:Nanjing University of Science & Technology; Yeungnam University
摘要:This article is devoted to the global continuous control for stochastic low-order cascade nonlinear systems with time-varying delay and stochastic inverse dynamics. Compared with existing results, the nature of only continuous, but nonsmooth, is unfolded since the power of the stochastic cascade system is of low order; and all the traditional growth conditions on unknown drift and diffusion nonlinearities and local Lipschitz condition are quitted, which largely extends the scope of application...
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作者:Loizou, Savvas G.; Lui, Dario Giuseppe; Petrillo, Alberto; Santini, Stefania
作者单位:Cyprus University of Technology; University of Naples Federico II
摘要:This technical article addresses the formation stabilization problem for multiagent systems (MASs) composed of dynamical agents moving within an obstacle-cluttered environment and sharing information via nonideal wireless communication networks. A novel distributed cooperative navigation function based control strategy is proposed, which drives the MAS to a desired formation without any collision while counteracting the presence of unavoidable communication impairments originated by the wirele...