Results 81 to 90 of about 13,676,050 (240)

Convergence conditions for Secant-type methods [PDF]

, 2004
summary:We provide new sufficient convergence conditions for the convergence of the secant-type methods to a locally unique solution of a nonlinear equation in a Banach space. Our new idea uses recurrent functions, and Lipschitz-type and center-Lipschitz-
Argyros, Ioannis K, Hilout, Said, Argyros, Ioannis K.   +2 more
core   +1 more source

Privacy‐Preserving Data‐Driven Distributed MPC for Heterogeneous Nonlinear Multi‐Agent Systems

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT Distributed model predictive control (DMPC) is a cornerstone for coordinating multi‐agent systems, yet simultaneously ensuring data privacy, handling unknown nonlinear dynamics, and managing heterogeneous constraints remains an open challenge.
Mahmood Mazare, Hossein Ramezani
wiley   +1 more source

Existence, uniqueness and stability of fuzzy fractional differential equations with local Lipschitz and linear growth conditions

Advances in Difference Equations, 2017
Fuzzy fractional differential equations (FFDEs) driven by Liu’s process are a type of fractional differential equations. In this paper, we intend to provide and prove a novel existence and uniqueness theorem for the solutions of FFDEs under local ...
SS Mansouri, M Gachpazan, O Solaymani Fard   +2 more
doaj   +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

Global Lipschitz invariant center manifolds for ODEs with generalized trichotomies

Electronic Journal of Qualitative Theory of Differential Equations, 2017
In a Banach space, assuming that a linear nonautonomous differential equation $v'=A(t)v$ admits a very general type of trichotomy, we establish conditions for the existence of global Lipschitz invariant center manifold of the perturbed equation $v'=A(t)v+
António Bento, Cristina Costa
doaj   +1 more source

Fault‐Tolerant Fuzzy Boundary Control for Nonlinear Distributed Parameter Systems Under Limited Measurements and Markovian Failures

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, Kaibo Shi, Yue Yu, Xiangkun Wang, Ming Zhu, Xiao Cai   +5 more
wiley   +1 more source

The Lévy–Khintchine type operators with variable Lipschitz continuous coefficients generate linear or nonlinear Markov processes and semigroups [PDF]

, 2011
Ito's construction of Markovian solutions to stochastic equations driven by a Lévy noise is extended to nonlinear distribution dependent integrands aiming at the effective construction of linear and nonlinear Markov semigroups and the corresponding ...
Kolokoltsov, V. N. (Vasiliĭ Nikitich)
core   +1 more source

A Competitive Model via kWTA Network for Multi‐Agent Systems Considering Noise and Communication Disturbances

CAAI Transactions on Intelligence Technology, EarlyView.
ABSTRACT The k $k$‐winners‐take‐all (k $k$WTA) problem, as a competitive selection strategy, is crucial in multi‐agent systems. However, existing noise‐robust k $k$WTA networks mainly address noise while overlooking communication disturbances. The coexistence of both factors significantly degrades solution accuracy and hinders distributed consensus ...
Jiexing Li, Shuai Li
wiley   +1 more source

A characterization of Bi-Lipschitz embeddable metric spaces in terms of local Bi-Lipschitz embeddability [PDF]

, 2011
We characterize uniformly perfect, complete, doubling metric spaces which embed bi-Lipschitzly into Euclidean space. Our result applies in particular to spaces of Grushin type equipped with Carnot-Carath ́eodory distance.
Seo, Jeehyeon
core  

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, Wei Chen, Jiangtao Li, Zhanhong Wei   +3 more
wiley   +1 more source