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作者：Zhang, Qi; Wang, Lin; Wang, Xiaofan; Chen, Guanrong
作者单位：Shanghai Jiao Tong University; Shanghai University; Shanghai Institute of Technology; City University of Hong Kong
摘要：Differing from existing research on intervention strategies such as leader selection and edge addition, we investigate the impact of intervention timing in opinion dynamics. We employ the leader-based DeGroot model to formulate the evolution of opinions in social networks, wherein leaders represent organizations or parties that influence public opinion. We propose an optimal timing selection problem, in which a leader maximizes public opinion at a specific time by strategically selecting inter...
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作者：Gao, Shanshan; Zhang, Shenggui; Chen, Xinzhuang
作者单位：Shanghai University of Electric Power; Northwestern Polytechnical University; Northwestern Polytechnical University; Northwestern Polytechnical University; Yanan University
摘要：For a multiagent system with a directed graph as its interaction topology, the consensus convergence rate is determined by the algebraic connectivity (the smallest real part of nonzero Laplacian eigenvalues) of its underlying network. In this article, the effects of adding weighted edges to a weighted directed path on the algebraic connectivity are investigated. First, it is proved that the Laplacian eigenvalues are only affected by local subgraphs containing the additional edges if some weigh...
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作者：Corbin, Nicholas A.; Kramer, Boris
作者单位：University of California System; University of California San Diego
摘要：We present a scalable approach to computing nonlinear balancing energy functions for control-affine systems with polynomial nonlinearities. Al'brekht's power-series method is used to solve the Hamilton-Jacobi-Bellman equations for polynomial approximations to the energy functions. The contribution of this article lies in the numerical implementation of the method based on the Kronecker product, enabling scalability to over 1000 state dimensions. The tensor structure and symmetries arising from...
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作者：Meiners, Florian; Himmel, Andreas; Adamy, Jurgen
作者单位：Technical University of Darmstadt; Technical University of Darmstadt
摘要：Controllability and observability properties of control systems manifest on the tangent bundle and its dual, the cotangent bundle, respectively. Linear systems admit the exploitation of this duality via the formulation of an explicit dual system, which is controllable iff the original system is observable and vice versa. While in the context of linear systems the duality is understood well and facilitates the conversion of controller and observer design schemes, there are a number of interesti...
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作者：Yang, Nachuan; Tang, Jiawei; Li, Yuzhe; Shi, Guodong; Shi, Ling
作者单位：Hong Kong University of Science & Technology; Northeastern University - China; University of Sydney
摘要：This article studies the design of linear quadratic regulators (LQR) subject to structural constraints, which remains an NP-hard open problem. Both state-feedback and static output-feedback cases are investigated. Instead of using case-by-case relaxation techniques, we propose a tractable first-order method to solve this structural optimal control problem. More specifically, we equivalently reformulate it as a constrained optimization and characterize its first-order optimality condition via K...
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作者：Mulagaleti, Sampath Kumar; Mejari, Manas; Bemporad, Alberto
作者单位：University of Trento; Universita della Svizzera Italiana; IMT School for Advanced Studies Lucca
摘要：Real-time measurements of the scheduling parameter of linear parameter-varying (LPV) systems enable the synthesis of robust control invariant (RCI) sets and parameter-dependent controllers inducing invariance. We present a method to synthesize parameter-dependent RCI (PD-RCI) sets for LPV systems with bounded parameter variation, in which invariance is induced using PD-vertex control laws. The PD-RCI sets are parameterized as configuration-constrained polytopes that admit a joint parameterizat...
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作者：Parsi, Anilkumar; Bartos, Marcell; Srivastava, Amber; Gros, Sebastien; Smith, Roy S.
作者单位：Swiss Federal Institutes of Technology Domain; ETH Zurich; Swiss Federal Institutes of Technology Domain; ETH Zurich; Indian Institute of Technology System (IIT System); Indian Institute of Technology (IIT) - Delhi; Norwegian University of Science & Technology (NTNU)
摘要：A novel robust model predictive control (MPC) algorithm is presented, whereby closed-loop constraint satisfaction is ensured using recursive feasibility of the MPC optimization. The proposed strategy considers the effects of model perturbations and disturbances occurring at only one time step. This is in contrast to existing formulations, which compute control policies that are feasible under the worst-case realizations of all model perturbations and exogenous disturbances in the MPC predictio...
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作者：Ye, Hefu; Wen, Changyun; Song, Yongduan
作者单位：Chongqing University; Nanyang Technological University
摘要：Interactions and communication between individuals and individuals, individuals and groups, as well as groups and groups are common in both the natural and applied sciences. In this article, we investigate the control problem of large-scale systems composed of multiple individuals and groups, where there are interactions among these individuals and groups, as well as potential communication exchanges. Each plant is modeled as a high-order mismatched uncertain nonlinear system, and only a subse...
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作者：Gallegos, Javier A.; Barbosa, Karina A.
作者单位：Pontificia Universidad Catolica de Chile; Universidad de Santiago de Chile
摘要：A set-theoretical approach based on Minkowski-Lyapunov functions is proposed to study the stability of polytopic systems in the linear parameter-varying (LPV) form. In contrast to the one based on quadratic Lyapunov functions, the proposed approach provides necessary and sufficient conditions for stability in both discrete and continuous time. Remarkably, the resulting conditions are computationally tractable and can be verified using algorithms with guaranteed convergence, in contrast to othe...
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作者：Yue, Dongdong; Shi, Jiantao; Shi, Ling; Frasca, Paolo; Baldi, Simone
作者单位：Nanjing Tech University; Hong Kong University of Science & Technology; Inria; Communaute Universite Grenoble Alpes; Institut National Polytechnique de Grenoble; Universite Grenoble Alpes (UGA); Centre National de la Recherche Scientifique (CNRS); Southeast University - China
摘要：Complex networks, neuroscience, and other applications have shown examples of multiagent adaptive systems that must follow (over possibly short times) reference dynamics that are neither Hurwitz nor neutrally stable. However, such leader-following behavior would be impossible with existing adaptive consensus methods, e.g., based on model reference adaptive control, since the stability of the reference dynamics is required. To fill this gap, we propose a novel model reference adaptive stabilizi...
