Results 101 to 110 of about 121,348 (314)
Homogeneous Observer‐Based Affine Formation Tracking
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT This article addresses the control of mobile agents, termed followers, to track a time‐varying affine formation specified by a set of leaders. We present a distributed hierarchical method composed of a homogeneous high‐order sliding mode observer and a tracking controller. The observer estimates the followers' target trajectories from neighbor
Rodrigo Aldana‐López +3 more
wiley +1 more source
On distance signless Laplacian spectrum and energy of graphs
Electronic Journal of Graph Theory and Applications, 2018 The distance signless Laplacian spectral radius of a connected graph G is the largest eigenvalue of the distance signless Laplacian matrix of G, defined as DQ(G) = Tr(G) + D(G), where D(G) is the distance matrix of G and Tr(G) is the diagonal ...
Abdollah Alhevaz +2 more
doaj +1 more source
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT In privacy protection of control systems, a trade‐off between control performance and privacy level is often pointed out. Our goal in this paper is to improve this trade‐off by shaping the frequency of noise added for privacy protection when the control objective is to track a reference signal, which is taken as a piece of information whose ...
Rintaro Watanabe +3 more
wiley +1 more source
On the Seidel Laplacian spectrum of threshold graphs [PDF]
Journal of HyperstructuresA graph which does not contain C4, P4, or 2K2 as its induced subgraphs, is called a threshold graph. In this paper, we consider seidel laplacian matrix of a connected threshold graph and determine the seidel laplacian spectrum. Also, the characterization
Megha P M, Parvathy K S
doaj +1 more source
Sharp decrease in the Laplacian matrix rank of phase-space graphs: a potential biomarker in epilepsy. [PDF]
Cogn Neurodyn, 2021 Yang Z, Fan D, Wang Q, Luan G.
europepmc +1 more source
Eigenvalues and Perfect Matchings [PDF]
AMS classification: 05C50, 05C70, 05E30.graph;perfect matching;Laplacian matrix;eigenvalues.
Brouwer, A.E., Haemers, W.H.
core +1 more source
Initial State Privacy of Nonlinear Systems on Riemannian Manifolds
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT In this paper, we investigate initial state privacy protection for discrete‐time nonlinear closed systems. By capturing Riemannian geometric structures inherent in such privacy challenges, we refine the concept of differential privacy through the introduction of an initial state adjacency set based on Riemannian distances.
Le Liu, Yu Kawano, Antai Xie, Ming Cao
wiley +1 more source
On the sum of signless Laplacian spectra of graphs
Karpatsʹkì Matematičnì Publìkacìï, 2019 For a simple graph $G(V,E)$ with $n$ vertices, $m$ edges, vertex set $V(G)=\{v_1, v_2, \dots, v_n\}$ and edge set $E(G)=\{e_1, e_2,\dots, e_m\}$, the adjacency matrix $A=(a_{ij})$ of $G$ is a $(0, 1)$-square matrix of order $n$ whose $(i,j)$-entry is ...
S. Pirzada, H.A. Ganie, A.M. Alghamdi
doaj +1 more source
A boosted outlier detection method based on the spectrum of the Laplacian matrix of a graph [PDF]
, 2020 Nicolas Cofre
openalex +1 more source
The adjacency matrix and the discrete Laplacian acting on forms
, 2015 We study the relationship between the adjacency matrix and the discrete Laplacian acting on 1-forms. We also prove that if the adjacency matrix is bounded from below it is not necessarily essentially self-adjoint.
Baloudi, Hatem +2 more
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