Results 101 to 110 of about 2,460,837 (296)
On the One-Leg Methods for Solving Nonlinear Neutral Differential Equations with Variable Delay
Journal of Applied Mathematics, 2012 Based on A-stable one-leg methods and linear interpolations, we introduce four algorithms for solving neutral differential equations with variable delay. A natural question is which algorithm is better.
Wansheng Wang, Shoufu Li
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Common fixed points under Lipschitz type condition
, 1970 The present paper is aimed at obtaining common fixed point theorems for a pair of selfmaps satisfying nonexpansive or Lipschitz type condition by using the notion of pointwise R- weak commutativity but without assuming the completeness of the space or ...
Vyomesh Pant
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Gradient‐ and Newton‐Based Unit Vector Extremum Seeking Control
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT This paper proposes new methods for stable and efficient convergence in multivariable extremum seeking control (ESC) using sliding mode techniques. Inspired by classical sliding modes and finite‐time control, the approach integrates these ideas into gradient‐ and Newton‐based ESC schemes with sinusoidal perturbations.
Roberto Luo +3 more
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Stability in distribution for uncertain delay differential equations based on new Lipschitz condition. [PDF]
J Ambient Intell Humaniz Comput, 2022 Gao Y, Jia L.
europepmc +1 more source
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT The safety verification of neural network (NN) controllers operating in uncertain environments characterized by unmodeled dynamics, nonlinearities, and time delays remains a fundamental challenge in robust control analysis. This article introduces a novel method, termed Keep‐Close, for analyzing the performance and robustness of uncertain ...
Abdelhafid Zenati, Nabil Aouf
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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
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CAAI Transactions on Intelligence Technology, EarlyView.ABSTRACT This paper proposes a boundary control method for nonlinear distributed parameter systems (DPSs) with limited boundary measurements (BMs), as typically encountered in networked cyber‐physical processes with spatially distributed dynamics such as thermal and biomedical diffusion systems.
Yanlin Li +5 more
wiley +1 more source
A measure theoretic approach to Lipschitz regularity and its Haar type wavelet analysis
Mathematical Modelling and AnalysisThe $\alpha$−Lipschitz character of a time series or an image summarizes, in the single parameter α, some persistence properties of the original function modeling the given signal.
Hugo Aimar, Juliana Boasso
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Bursting Oscillation Characteristics and Improved AHODFC for DFIG and PMSG Combined Wind Farm
Energy Internet, EarlyView.ABSTRACT Bursting oscillations occur in DFIG and PMSG combined wind farm under external disturbances and lead to the instability problems. To reveal the bursting oscillation characteristics and develop a suppression method, a fast‐slow dynamics analysis method and an improved adaptive high‐order differential feedback controller (AHODFC) based on ...
Kun Wang +3 more
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Lipschitz extension theorems with explicit constants
Analysis and Geometry in Metric SpacesIn this mostly expository article, we give streamlined proofs of several well-known Lipschitz extension theorems. We pay special attention to obtaining statements with explicit expressions for the extension constants.
Basso Giuliano
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