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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:Chen, Ziqin; Wang, Yongqiang
作者单位:Clemson University
摘要:The increasing usage of streaming data has raised significant privacy concerns in decentralized optimization and learning applications. To address this issue, differential privacy (DP) has emerged as a standard approach for privacy protection in decentralized online optimization. Regrettably, existing DP solutions for decentralized online optimization face the dilemma of trading optimization accuracy for privacy. In this article, we propose a local-DP solution for decentralized online optimiza...
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作者:Chen, Yan; Fradkov, Alexander L.; Fu, Keli; Fu, Xiaozheng; Li, Tao
作者单位:East China Normal University
摘要:Motivated by distributed statistical learning over uncertain communication networks, we study distributed stochastic optimization by networked nodes to cooperatively minimize a sum of convex cost functions. The network is modeled by a sequence of time-varying random digraphs with each node representing a local optimizer and each edge representing a communication link. In this article, we consider the distributed subgradient optimization algorithm with noisy measurements of local cost functions...
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作者:Jiang, Yao-Lin; Zhang, Guo-Yun
作者单位:Xi'an Jiaotong University
摘要:Research on nonlinear model order reduction has revealed that as nonlinearity increases, the subspaces capturing dominant information require more complex bases. The complexity is influenced by two main factors: coefficients and approximation criteria. On one hand, it is affected by the characteristics of all coefficients. Therefore, we begin by introducing a generalized Gramian-based method for estimating eigenvalue decay, which demonstrates the factors on the reduced order. On the other hand...
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作者:Paarporn, Keith; Chandan, Rahul; Alizadeh, Mahnoosh; Marden, Jason R.
作者单位:University of Colorado System; University of Colorado at Colorado Springs; University of California System; University of California Santa Barbara
摘要:In this article, we consider incomplete and asymmetric information formulations of the General Lotto game, which describes two opposing players that strategically allocate limited resources over multiple contests. In particular, we consider scenarios where one of the player's resource budget is common knowledge while the other player's is private. Our main contribution provides complete equilibrium characterizations in the scenario where the private resource budget is drawn from a Bernoulli di...
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作者:Xie, Gang; Tong, Yin; Wang, Xiaomin; Seatzu, Carla
作者单位:Southwest Jiaotong University; University of Cagliari
摘要:This article studies the supervisory control problem (SCP) of discrete-event systems under sensor attacks. The plant is modeled with a labeled Petri net (LPN) and the attacker has the ability to replace and erase the sensor readings in the communication channel. Our goal is to synthesize a maximally permissive and resilient supervisor for the LPN such that the controlled system satisfies the safety specification under attack. Given a set of safe markings, the basis reachability graph (BRG) for...