7期

最新文章

• Structural Balance via Gradient Flows Over Signed Graphs AI翻译
  作者：Cisneros-Velarde, Pedro Arturo; Friedkin, Noah E.; Proskurnikov, Anton, V; Bullo, Francesco
  作者单位：University of California System; University of California Santa Barbara; Polytechnic University of Turin; Russian Academy of Sciences
  摘要：Structural balance is a classic property of signed graphs satisfying Heider's seminal axioms. Mathematical sociologists have studied balance theory since its inception in the 1940s. Recent research has focused on the development of dynamic models explaining the emergence of structural balance. In this article, we introduce a novel class of parsimonious dynamic models for structural balance based on an interpersonal influence process. Our proposed models are gradient flows of an energy function...
• Emergent Behaviors of Cucker-Smale Flocks on Riemannian Manifolds AI翻译
  作者：Ha, Seung-Yeal; Kim, Doheon; Schloder, Franz Wilhelm
  作者单位：Seoul National University (SNU); Seoul National University (SNU); Korea Institute for Advanced Study (KIAS); University of Milano-Bicocca
  摘要：In this article, we present a new Cucker-Smale model on smooth Riemannian manifolds using the concepts of covariant derivative and parallel transport, and we also study its emergent dynamics under an a priori assumption on the energy functional. For Euclidean space, our proposed model coincides with the original Cucker-Smale model. As concrete examples, we consider three Riemannian manifolds: the unit 2-sphere, the unit circle, and the Poincare half-plane, and provide explicit reductions from ...
• Distributed Output-Feedback Consensus Control of Multiagent Systems with Unknown Output Measurement Sensitivity AI翻译
  作者：Li, Kuo; Hua, Chang-Chun; You, Xiu; Guan, Xin-Ping
  作者单位：Yanshan University; Shanxi University; Shanghai Jiao Tong University
  摘要：This article addresses the leader-following consensus problem for multiagent systems with unknown output measurement sensitivity based on a fixed directed topology. Different from the existing works on the consensus problem, the output measurement sensitivity is described as a total unknown parameter. Under this nonideal condition, we put forward a distributed output-feedback consensus control algorithm for the first time. To start with, we design the novel distributed high-gain observer and a...
• Stabilization of Distributed Parameter Systems With Delays in the Boundary Based on Predictors AI翻译
  作者：Liu, Dongyi; Wang, Qingcong; Xu, Genqi
  作者单位：Tianjin University
  摘要：This article is concerned with the controller design for distributed parameter systems with time delays in the boundary. An implementable control law is presented in light of a state predictor, and a feasible calculation scheme of this control law is provided based on the adjoint theory. The resulting closed-loop system is proved to be exponentially stable. As an application, a one-dimensional Schrodinger equation with a delay input is introduced and the numerical simulation verifies the feasi...
• Globally Exponentially Convergent Continuous Observers for Velocity Bias and State for Invariant Kinematic Systems on Matrix Lie Groups AI翻译
  作者：Chang, Dong Eui
  作者单位：Korea Advanced Institute of Science & Technology (KAIST)
  摘要：In this article globally exponentially convergent continuous observers for invariant kinematic systems on finite-dimensional matrix Lie groups has been proposed. Such an observer estimates, from measurements of landmarks, vectors, and biased velocity, both the system state and the unknown constant bias in velocity measurement, where the state belongs to the state-space Lie group and the velocity to the Lie algebra of the Lie group. The main technique is to embed a given system defined on a mat...
• A Full Bayesian Approach to Sparse Network Inference Using Heterogeneous Datasets AI翻译
  作者：Jin, Junyang; Yuan, Ye; Goncalves, Jorge
  作者单位：University of Luxembourg; Huazhong University of Science & Technology; University of Cambridge
  摘要：Network inference has been attracting increasing attention in several fields, notably systems biology and biomedicine. Indeed, one of our biggest challenges is to uncover and understand complex molecular networks behind cells and organisms. A network is mainly characterized by its topology and internal dynamics. In particular, sparse topologies with stable dynamics are properties present in most real-world networks. Moreover, experiments typically measure a partial set of nodes. Linear systems...
• Synchronization and Multicluster Capabilities of Oscillatory Networks With Adaptive Coupling AI翻译
  作者：Feketa, Petro; Schaum, Alexander; Meurer, Thomas
  作者单位：University of Kiel
  摘要：We prove the existence of a multidimensional nontrivial invariant toroidal manifold for the Kuramoto network with adaptive coupling. The constructed invariant manifold corresponds to the multicluster behavior of the oscillators phases. Contrary to the static coupling, the adaptive coupling strengths exhibit quasiperiodic oscillations preserving zero phase-difference within clusters. The derived sufficient conditions for the existence of the invariant manifold provide a tradeoff between the nat...
• Stability and Instability in Saddle Point Dynamics-Part I AI翻译
  作者：Holding, Thomas; Lestas, Ioannis
  作者单位：Imperial College London; University of Cambridge
  摘要：We consider the problem of convergence to a saddle point of a concave-convex function via gradient dynamics. Since first introduced by Arrow, Hurwicz, and Uzawa, such dynamics have been extensively used in diverse areas; there are, however, features that render their analysis nontrivial. These include the lack of convergence guarantees when the concave-convex function considered does not satisfy additional strictness properties and also the nonsmoothness of subgradient dynamics. Our aim in thi...
• Parallel MPC for Linear Systems With Input Constraints AI翻译
  作者：Jiang, Yuning; Oravec, Juraj; Houska, Boris; Kvasnica, Michal
  作者单位：ShanghaiTech University; Slovak University of Technology Bratislava
  摘要：This article is about a real-time model predictive control algorithm for large-scale, structured linear systems with polytopic control constraints. The proposed controller receives the current state measurement as an input, and computes a suboptimal control reaction by evaluating a finite number of piecewise affine functions that correspond to the explicit solution maps of small-scale parametric quadratic programming (QP) problems. We provide asymptotic stability guarantees, which can be verif...
• Regularized Transport Between Singular Covariance Matrices AI翻译
  作者：Ciccone, Valentina; Chen, Yongxin; Georgiou, Tryphon T.; Pavon, Michele
  作者单位：University of Padua; University System of Georgia; Georgia Institute of Technology; University of California System; University of California Irvine; University of Padua
  摘要：We consider the problem of steering a linear stochastic system between two endpoint degenerate Gaussian distributions in finite time. This accounts for those situations in which some but not all of the state entries are uncertain at the initial, t=0, and final time, t=T. This problem entails nontrivial technical challenges, as the singularity of terminal state covariance causes the control to grow unbounded at the final time T. Consequently, the entropic interpolation (Schrodinger bridge) is p...