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作者：Zhao, Congran; Lin, Wei
作者单位：Jiangsu University; University System of Ohio; Case Western Reserve University
摘要：For a family of genuinely nonlinear systems with delays in the input and state, global strong stabilization (GSS) in the sense of Kurzweil is shown to be possible by memoryless state and/or output feedback under two conditions: 1) The input delay is within an appropriate range although the state delays can be sufficiently large; 2) the time-delay bounding system is homogeneous of degree zero and has a lower triangular structure. The proof is based on the Lyapunov-Krasovskii functional theorem ...
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作者：Lhachemi, Hugo; Prieur, Christophe
作者单位：Universite Paris Saclay; Centre National de la Recherche Scientifique (CNRS); Communaute Universite Grenoble Alpes; Institut National Polytechnique de Grenoble; Universite Grenoble Alpes (UGA); Centre National de la Recherche Scientifique (CNRS)
摘要：This article investigates the output feedback setpoint regulation control of a reaction-diffusion equation by means of boundary control. The considered reaction-diffusion plant may be open-loop unstable. The proposed control strategy consists of the coupling of a finite-dimensional observer and a PI controller in order to achieve the boundary setpoint regulation control of various system outputs such as the Dirichlet and Neumann traces. In this context, it is shown that the order of the finite...
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作者：Liang, Li; Deng, Fang; Wang, Jianan; Lu, Maobin; Chen, Jie
作者单位：Beijing University of Chemical Technology; Tongji University; Beijing Institute of Technology
摘要：A reconnaissance penetration game is a classic target-attacker-defender game. In this game, a reconnaissance UAV (namely attacker) tries to avoid the defender and reconnoiter a target as close as possible, whereas a target tries to escape the attacker with the help of defender. Practically, the defender is considered constrained in a certain territory to capture the attacker and help the target. This article is primarily concerned with the winning region for three players. An explicit policy m...
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作者：Liu, Shenyu; Russo, Antonio; Liberzon, Daniel; Cavallo, Alberto
作者单位：University of California System; University of California San Diego; University of Illinois System; University of Illinois Urbana-Champaign
摘要：In this article we study integral-input-to-state stability (iISS) of nonlinear switched systems with jumps. We demonstrate by examples that iISS is not always preserved under slow enough dwell time switching, and then we present sufficient conditions for iISS to be preserved under slow switching. These conditions involve, besides a sufficiently large dwell time, some additional properties of comparison functions characterizing iISS of the individual modes. When the sufficient conditions that g...
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作者：Wang, Jingyao; Wen, Guanghui; Duan, Zhisheng
作者单位：Xiamen University; Southeast University - China; Peking University
摘要：The consensus control of multiagent systems (MASs) over randomly switching communication topologies has drawn increasing attention from researchers, since the mean square consensus or the most surely consensus is significant and practical. This manuscript focuses on the output consensus problem for heterogeneous MASs with input saturation constraints over the Markovian randomly switching topologies. The main challenge of solving the concerned problem lies in the interplay among the heterogeneo...
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作者：Li, Rui; Zhang, Qi; Chu, Tianguang
作者单位：Dalian University of Technology; Dalian University of Technology; University of International Business & Economics; Peking University
摘要：A probabilistic Boolean network (PBN) is a discrete-time system composed of a collection of Boolean networks between which the PBN switches in a stochastic manner. This article focuses on the study of quotients of PBNs. Given a PBN and an equivalence relation on its state set, we consider a probabilistic transition system that is generated by the PBN; the resulting quotient transition system then automatically captures the quotient behavior of this PBN. We therefore describe a method for obtai...
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作者：Zhao, Di; Khong, Sei Zhen; Qiu, Li
作者单位：Tongji University; Tongji University; Hong Kong University of Science & Technology
摘要：The Shapiro scheme, together with the closely related Frisch-Kalman scheme, has been an important approach to system identification and statistical analysis. A longstanding result on this scheme, known as the Shapiro theorem, is both informative and significant. This article imparts a geometric understanding to the Shapiro theorem and generalizes it to the asymmetric setting using the notion of cone-invariance. In particular, we establish the equivalence between two important properties of a r...
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作者：Li, Xiaodi; Zhao, Yongshun
作者单位：Shandong Normal University
摘要：This article develops the sliding mode control (SMC) strategy for linear impulsive systems with matched disturbances. Such systems describe dynamical systems that evolve according to continuous process most of the time with matched disturbances, but instantaneously exhibit discontinuities, i.e., impulsive disturbances. A suitable sliding surface function is proposed and the resulting sliding mode dynamics are a class of linear impulsive systems. Some sufficient conditions coupled with impulse ...
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作者：Pu, Shi; Olshevsky, Alex; Paschalidis, Ioannis Ch
作者单位：Boston University; Boston University
摘要：This article is concerned with minimizing the average of is cost functions over a network, in which agents may communicate and exchange information with each other. We consider the setting where only noisy gradient information is available. To solve the problem, we study the distributed stochastic gradient descent (DSGD) method and perform a nonasymptotic convergence analysis. For strongly convex and smooth objective functions, in expectation, DSGD asymptotically achieves the optimal network-i...
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作者：Adu, Daniel Owusu; Basar, Tamer; Gharesifard, Bahman
作者单位：Queens University - Canada; University of Illinois System; University of Illinois Urbana-Champaign; University of California System; University of California Los Angeles
摘要：We consider a setting where two noncooperative players optimally influence the evolution of an initial spatial probability in a game-theoretic hierarchical fashion (Stackelberg differential game), so that at a specific final time the distribution of the state matches a given final target measure. We provide a sufficient condition for the existence and uniqueness of an optimal transport map and prove that it can be characterized as the gradient of some convex function. An important by-product o...
