Results 61 to 70 of about 8,668 (249)
Stability analysis of fuzzy controllers through the computation of the Lyapunov Exponent
In order to design and implement any type of controller, their stability analysis is pivotal. At this regard, Lyapunov's analytical method consists in finding a candidate function as a sufficient but not necessary condition to validate the stability of ...
Leonardo Alonso Martínez Rivera +2 more
doaj +1 more source
Matlab Code for Lyapunov Exponents of Fractional-Order Systems, Part II: The Noncommensurate Case [PDF]
Marius‐F. Danca
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Data assimilation with extremum Monte Carlo methods
This study presents the extremum Monte Carlo filter as a data assimilation method and, in particular, a variant of the variational approach (three‐ and four‐dimensional variational), where the state estimates are obtained by solving an optimization problem numerically over a space of prediction functions, instead of the state space itself.
Karim Moussa, Siem Jan Koopman
wiley +1 more source
In this article, we study the continuity of the Lyapunov exponent of discrete analytic Jacobi operators with the skew-shift mapping. We prove that the Lyapunov exponent is weak Holder continuous in E for any Diophantine frequency in the large coupling
Kai Tao
doaj
A pilot variational coupled reanalysis based on the CESAM climate model
Variational data assimilation of in‐situ and satellite ocean data and reanalysis atmospheric data into an intermediate complexity Earth system model is possible by adjusting the surface fluxes and internal model parameters. This pilot application requires nearly complete information on the atmospheric state for synchronization.
Armin Köhl +6 more
wiley +1 more source
Positive Lyapunov exponent of discrete analytic Jacobi operator
In this article, we study the Lyapunov exponent of discrete analytic Jacobi operator with a family of some mappings on the torus. By applying the theory of subharmonic functions, we prove that the Lyapunov exponent is positive, if the coupling number ...
Kai Tao
doaj
The predictability of western and eastern North Pacific blocking events is assessed using analogue‐based diagnostics. Eastern blocks exhibit lower predictability, characterized by faster error growth and higher mean logarithmic divergence rates. The study highlights geographical contrasts in blocking stability.
Anupama K. Xavier +3 more
wiley +1 more source
Event‐Triggered Saturating Control for Synchronization of Lur'e Type Complex Dynamic Networks
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
Lyapunov exponents and phase transition of Hayward AdS black hole
In this paper, we study the relationship between the phase transition and Lyapunov exponents for 4D Hayward anti-de Sitter (AdS) black hole. We consider the motion of massless and massive particles around an unstable circular orbit of the Hayward AdS ...
Naba Jyoti Gogoi +2 more
doaj +1 more source
Singular Holomorphic Foliations by Curves II: Negative Lyapunov Exponent [PDF]
Viêt‐Anh Nguyên
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