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作者：Hu, Hongxiao; Zhou, Zixin; Xu, Liguang; Ding, Zhengtao
作者单位：University of Shanghai for Science & Technology; University of Shanghai for Science & Technology; University of Manchester
摘要：This article addresses the problem of optimal nonlinear feedback control for a class of nonlinear time-delay systems over an infinite horizon, involving a nonlinear-nonquadratic performance functional. To this end, we propose a framework for analyzing and designing nonlinear feedback controllers that minimize such cost functionals for these systems. By applying the Lyapunov functional method, the stability of a class of nonlinear time-delay systems is determined over an infinite horizon. This ...
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作者：John, Yohan; Diaz-Garcia, Gilberto; Duan, Xiaoming; Marden, Jason R.; Bullo, Francesco
作者单位：University of California System; University of California Santa Barbara; Shanghai Jiao Tong University
摘要：Stochastic patrol routing is known to be advantageous in adversarial settings; however, the optimal choice of stochastic routing strategy is dependent on a model of the adversary. We adopt a worst-case omniscient adversary model from the literature and extend the formulation to accommodate heterogeneous defenses at the various nodes of the graph. Introducing this heterogeneity leads to interesting new patrol strategies. We identify efficient methods for computing these strategies in certain cl...
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作者：Lamarque, Maxence; Bhan, Luke; Vazquez, Rafael; Krstic, Miroslav
作者单位：Universite PSL; MINES ParisTech; University of California System; University of California San Diego; University of Sevilla
摘要：To stabilize partial differential equation (PDE) models, control laws typically require space-dependent functional gains mapped by nonlinear operators from the PDE functional coefficients. When a PDE is nonlinear and its pseudocoefficient functions are state-dependent, a gain-scheduling (GS) nonlinear design is the simplest approach to the design of nonlinear feedback.The GS version of PDE backstepping employs gains obtained by solving a PDE at each value of the state. Performing such PDE comp...
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作者：Li, Lin; Li, Yanan; Feng, Wei
作者单位：Shandong Agricultural University
摘要：A variance margin problem for linear systems with multiplicative noise is considered. The variance margin vm is the maximal variance tolerance such that the systems can be robustly stabilized by a state-feedback control. vm also provides a fundamental limit for the solvability of a generalized algebraic Riccati equation (GARE). Fundamental limits in literature are only valid for modified algebraic Riccati equations, which are special cases of GAREs. The purpose of this article is to derive new...
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作者：Oh, Yuna; Moon, Jun
作者单位：Hanyang University
摘要：We study the linear-quadratic (LQ) risk-sensitive optimal control problem for mean-field type stochastic differential equations (MF-SDEs) driven by Brownian motion. The expected values of state and control variables are included in the MF-SDE as well as the objective functional, and the objective functional is of the risk-sensitive type. The control has access to the noisy state information from the mean-field type stochastic observation model. Under this setting, we obtain the practically imp...
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作者：Zhan, Jingyuan; Zhang, Liguo; Qiao, Junfei
作者单位：Beijing University of Technology
摘要：Concerning the consensus problem of a networked hyperbolic system of two linear conservation laws, this article proposes a boundary consensus protocol and establishes a theoretical framework for consensus analysis under both fixed and switching communication topologies. First, we present a consensus analysis under fixed topologies by utilizing the Lyapunov approach, where both undirected graph and digraph cases are considered. Under the assumption that the undirected graph is connected or the ...
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作者：Bizyaeva, Anastasia; Franci, Alessio; Leonard, Naomi Ehrich
作者单位：Cornell University; University of Liege; Princeton University
摘要：In this article, we propose and analyze a nonlinear dynamic model of continuous-time multidimensional belief formation over signed social networks. Our model accounts for the effects of a structured belief system, self-appraisal, internal biases, and various sources of cognitive dissonance posited by recent theories in social psychology. We prove that agents become opinionated as a consequence of a bifurcation. We analyze how the balance of social network effects in the model controls the natu...
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作者：Zekraoui, Salim; Espitia, Nicolas; Perruquetti, Wilfrid; Krstic, Miroslav
作者单位：Universite Lyon 1; Centre National de la Recherche Scientifique (CNRS); Universite de Lille; CNRS - Institute for Information Sciences & Technologies (INS2I); Centrale Lille; Universite de Lille; Centrale Lille; University of California System; University of California San Diego
摘要：Time-varying prescribed-time (PT) controllers use growing gains not only to achieve convergence in desired time but to reduce state peaking during stabilization and to also reduce the control effort by distributing it more evenly over the time interval of convergence. In this article, we consider a 1-D reaction-diffusion system with boundary input delay and propose a general method for studying the problem of PT boundary stabilization. To achieve this objective, we first reformulate the system...
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作者：Firouzbahrami, Majid; Nobakhti, Amin
作者单位：Sharif University of Technology
摘要：In this article, we address a constraint-coupled optimization problem over multiagent network systems with communication time delays and unknown disturbances. The primary objective is to minimize the sum of local cost functions while adhering to both local and global constraints, the latter encompassing subsets of all decision variables. The local costs are not required to be strictly or strongly convex, as long as they are convex. Utilizing a Lyapunov approach and linear matrix inequalities, ...
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作者：Kawano, Yu; Hosoe, Yohei
作者单位：Hiroshima University; Kyoto University
摘要：In this article, we examine the role of differential positivity in the contraction analysis of discrete-time nonlinear systems with parameters that follow stochastic processes. We investigate the concept of almost sure differential positivity, which parallels the positivity of linear systems, and utilize it to derive vector-type sufficient conditions for uniform incremental exponential stability in the first moment. Employing these conditions, we demonstrate that network stability analysis can...
