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作者：Sharpless, William; Chow, Yat Tin; Herbert, Sylvia
作者单位：University of California System; University of California San Diego; University of California System; University of California Riverside
摘要：Hamilton-Jacobi reachability (HJR) provides a value function that encodes the set of states from which a system with bounded control inputs can reach or avoid a target despite any bounded disturbance, and the corresponding robust, optimal control policy. Though powerful, traditional methods for HJR rely on dynamic programming (DP) and suffer from exponential computation growth with respect to state dimension. The recently favored Hopf formula mitigates this curse of dimensionality by providing...
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作者：Tavazoei, Mohammad Saleh
作者单位：Sharif University of Technology
摘要：To avoid computational overflow in partially homomorphic encrypted control systems with dynamic linear time-invariant (LTI) discrete-time controllers, it has been previously suggested to use controllers possessing integer characteristic polynomials. These controllers are divided into two categories: finite impulse response (FIR) controllers and non-FIR ones. In this article, it is proved that each plant, which is stabilizable by FIR controllers, can also be stabilized by non-FIR ones having in...
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作者：De Iuliis, Vittorio; Manes, Costanzo
作者单位：Vita-Salute San Raffaele University; University of L'Aquila
摘要：This work studies 1-moment stability for continuous-time Markov jump linear systems under both stationary and time-varying transition rates. For stationary transition rates, we propose novel sufficient stability conditions that are stated in terms of linear programs. These conditions offer a less restrictive and computationally simpler stability characterization compared to the commonly used mean-square stability analysis. Moreover, they offer a simple approach to also investigate the weaker n...
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作者：Labsir, Samy; Medina, Daniel; Vila-Valls, Jordi; Renaux, Alexandre; Chaumette, Eric
作者单位：Helmholtz Association; German Aerospace Centre (DLR); Communaute d'universites et etablissements de Toulouse (Comue); Institut Superieur de l'Aeronautique et de l'Espace (ISAE-SUPAERO); Universite de Toulouse (EPE); Institut Superieur de l'Aeronautique et de l'Espace (ISAE-SUPAERO); Universite Paris Saclay
摘要：The estimation of a mixture of real-and integer-valued parameter vectors appears in different control and signal processing applications. In some particular cases, for instance when dealing with covariance or rotation matrices, the real parameter must be constrained by geometrical properties. This article considers the general estimation problem containing both Lie group and integer parameters, for which the corresponding performance bound is a important missing tool. Leveraging recent results...
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作者：Li, Xiaodi; Lu, Cuiping; Wei, Tengda; Wang, Mingzhu
作者单位：Shandong Normal University; Shandong Normal University
摘要：This article is concerned with the stability problem of impulsive systems in Lyapunov framework. Different from the traditional stability results, a class of discrete dynamic decomposition methods is introduced in this article, whose key advantage is that it describes the impulsive action by breaking it into different types. It is particularly helpful when the original problem involves complicated impulsive actions, especially for some nonlinear impulses. Based on such method, we propose a nov...
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作者：Wang, Dandan; Wu, Xuyang; Ou, Zichong; Lu, Jie
作者单位：ShanghaiTech University; Southern University of Science & Technology; ShanghaiTech University
摘要：Many realistic decision-making problems in networked scenarios, such as formation control and collaborative task offloading, often involve complicatedly entangled local decisions, which, however, have not been sufficiently investigated yet. Motivated by this, we study a class of globally constrained decentralized optimization problems with a variable coupling structure that is new to the literature. Specifically, we consider a network of nodes collaborating to minimize a global objective subje...
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作者：Zhang, Liping; Zhang, Huanshui; Wang, Zidong
作者单位：Shandong University of Science & Technology; Shandong University; Brunel University
摘要：This note makes the first attempt to investigate the optimal bipartite consensus problem in the general cas e for heterogeneous multiagent systems with cooperative-competitive interactions, specifically those containing a spanning tree. Unlike traditional control protocols based on the gradient descent method, our proposed optimal bipartite algorithm demonstrates a fast superlinear convergence speed. The key innovation of this method lies in the design of a fully distributed optimal controller...
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作者：Liuzza, Davide; Della Rossa, Fabio; Lo Iudice, Francesco; De Lellis, Pietro
作者单位：University of Sannio; Italian National Agency New Technical Energy & Sustainable Economics Development; Polytechnic University of Milan; University of Naples Federico II
摘要：A pressing open problem in the study of interconnected dynamical systems is how to gauge the impact higher order interactions have on the onset of collective behaviors. In this article, we describe multibody interactions among systems using the formalism of directed hypergraphs. Introducing the novel concept of circulating hypergraphs, we formulate the synchronization and pinning control problems in hypernetwork dynamical systems. Extending the notion of balanced digraphs to the case of direct...
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作者：Wu, Dongjun; Rantzer, Anders
作者单位：Lund University
摘要：We study dynamical optimal transport of discrete time systems with Lagrangian cost. The problem is approached by combining optimal control and Kantorovich duality theory. Based on the derived solution, a first order splitting algorithm is proposed for numerical implementation. While solving partial differential equations is often required in the continuous time case, a salient feature of our algorithm is that it avoids equation solving entirely. Furthermore, it is typical to solve a convex opt...
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作者：Wu, Xiaoyu; Lin, Jie; Jiang, Shanchan; Zhang, Zhicheng; Du, Yingxue; Zhang, Yan
作者单位：Zhejiang Normal University; Tianjin University
摘要：This article investigates the distributed convex optimization problem where dimension of the feasible set is fluctuated. To address this, we formulate an open consensus algorithm that enables agents to join or leave at any time while seeking the optimal solution. By introducing an auxiliary variable to account for agent departures and incorporating a diminishing gradient descent scheme, we seek the Lyapunov-based method to establish conditions ensuring that consensus remains achievable and rig...
