Results 71 to 80 of about 115,141 (223)
The Lyapunov exponents for the partitioned-pipe mixer
Computer Assisted Methods in Engineering and Science, 2023 This paper presents a mechanical model of the partitioned-pipe mixer (PPM) in case where pipe of the static mixer rotates with angular periodic velocity. Mixing becomes more efficient if the forcing of fluid mixing process is time periodic.
Tomasz Stręk
doaj
Weakly Coupled Distributed Calculation of Lyapunov Exponents for Non-Linear Dynamical Systems
Algorithms, 2017 Numerical estimation of Lyapunov exponents in non-linear dynamical systems results in a very high computational cost. This is due to the large-scale computational cost of several Runge–Kutta problems that need to be calculated.
Jorge J. Hernández-Gómez +4 more
doaj +1 more source
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT This paper establishes an implementation‐aware framework for Barrier Function Adaptation (BFA) and shows that discrete‐time realizations fundamentally alter the logic of final‐set adjustment. In particular, sufficient conditions are derived to preserve the key benefits of BFA (predefined performance, gain adaptation with uncertain perturbation
Luis Ovalle +3 more
wiley +1 more source
Journal of Mathematics, 2020 In this paper, we consider a class of fractional-order systems described by the Caputo derivative. The behaviors of the dynamics of this particular class of fractional-order systems will be proposed and experienced by a numerical scheme to obtain the ...
Ndolane Sene, Ameth Ndiaye
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Exact Robust Filtering and Differentiation Based on Sliding Modes and Homogeneity
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT This article addresses the problem of online estimation of the derivatives of a signal corrupted by measurement noise. The measured signal is modeled as the sum of a smooth nominal component and a uniformly bounded noise term. A key objective is to attenuate the effect of high‐frequency noise.
Jaime A. Moreno, Arie Levant
wiley +1 more source
High‐Order Sliding‐Mode control for MIMO Systems
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT This paper extends Lyapunov‐based homogeneous high‐order sliding‐mode control to a class of uncertain non‐square multi‐input multi‐output (MIMO) nonlinear systems with a well‐defined vector relative degree. The considered systems admit a normal‐form representation with an uncertain but full‐row‐rank input‐gain matrix.
Jaime A. Moreno, Angel Mercado‐Uribe
wiley +1 more source
, 2014 The Lyapunov exponents computed for this model were all negative, indicating that the model was asymptotically Lyapunov stable and therefore the trajectories eventually converged to an equilibrium.Model Lyapunov exponents.
Piero Dalle Pezze (622889) +6 more
core +1 more source
Journal of Physics: ComplexityWe computed the Lyapunov spectrum and finite-time Lyapunov exponents of a data-driven model constructed using reservoir computing. This analysis was performed for two dynamics that exhibit a highly dimensionally unstable structure.
Miki U Kobayashi +2 more
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Lyapunov exponents, phase transition and chaos bound in Kerr-Newman AdS spacetime
Nuclear Physics BIn this paper, we investigate Lyapunov exponents associated with chaotic motions of both massless and massive particles in the vicinity of a Kerr-Newman AdS black hole.
Chuang Yang +3 more
doaj +1 more source
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT This article proposes a distributed resilient control framework to ensure consensus tracking for nonlinear heterogeneous multi‐agent systems (NHMAS) under aperiodic denial‐of‐service (DoS) attacks. First, a resilient observer is introduced to estimate the leader's state considering that not all agents have direct access to the leader's ...
Li Liu, Bing Yan, Junkang Ni, Peng Shi
wiley +1 more source