Results 81 to 90 of about 24,806 (247)
Event‐Triggered Saturating Control for Synchronization of Lur'e Type Complex Dynamic Networks
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT This article addresses the problem of synchronizing discrete‐time Lur'e type complex dynamic networks (CDNs) via dynamic event‐triggered control. In particular, it is considered that the control signal of each node is subject to input saturation. Using the Lyapunov Stability Theory, properties of slope‐restricted nonlinearities, and the linear
C. Lisbôa +3 more
wiley +1 more source
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
Fractional p-Laplacian equations on Riemannian manifolds
Electronic Journal of Differential Equations, 2018 In this article we establish the theory of fractional Sobolev spaces on Riemannian manifolds. As a consequence we investigate some important properties, such as the reflexivity, separability, the embedding theorem and so on.
Lifeng Guo, Binlin Zhang, Yadong Zhang
doaj
Existence and multiplicity of symmetric positive solutions for nonlinear boundary-value problems with p-Laplacian operator [PDF]
, 2014 Tugba Senlik Cerdik, Nuket Aykut Hamal
openalex +1 more source
A free boundary problem for the p-Laplacian with nonlinear boundary conditions [PDF]
, 2023 Paolo Acampora, Emanuele Cristoforoni
openalex +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
Multiplicity theorems for semipositone p-Laplacian problems
Electronic Journal of Differential Equations, 2011 In this article, we study the existence of solutions for the semipositone p-Laplacian problems. Under a subliner behavior at infinity, using degree theoretic arguments based on the degree map for operators of type (S)_+, we prove the existence of at ...
Xudong Shang
doaj
INEQUALITIES FOR EIGENFUNCTIONS OF THE P-LAPLACIAN [PDF]
Проблемы анализа, 2013 Motivated by the work of P. Lindqvist, we study eigenfunctions of the one-dimensional p-Laplace operator, the sinp functions, and prove several inequalities for these and p-analogues of other trigonometric functions and their inverse functions.
VUORINEN M, BHAYO B. A
doaj
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