Results 31 to 40 of about 37,142 (217)
Forward and Adjoint Sensitivity Computation of Chaotic Dynamical Systems [PDF]
, 2012 This paper describes a forward algorithm and an adjoint algorithm for computing sensitivity derivatives in chaotic dynamical systems, such as the Lorenz attractor.
Eyink +11 more
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Challenges of inversely estimating Jacobian from metabolomics data
Frontiers in Bioengineering and Biotechnology, 2015 Inferring dynamics of metabolic networks directly from metabolomics data provides a promising way to elucidate the underlying mechanisms of biological systems, as reported in our previous studies [1-3] by a differential Jacobian approach. The Jacobian is
Xiaoliang eSun +4 more
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Applied Sciences, 2020 This study classified chaotic time series data, including smooth and nonsmooth problems in a dynamic system, using a convolutional neural network (CNN) and verified it through the Lyapunov exponent. For this, the classical nonlinear differential equation
Jaehyeon Nam, Jaeyoung Kang
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Finite-time complete periodic synchronization of memristive neural networks with mixed delays
Scientific Reports, 2023 In this paper we study the oscillatory behavior of a new class of memristor based neural networks with mixed delays and we prove the existence and uniqueness of the periodic solution of the system based on the concept of Filippov solutions of the ...
Hajer Brahmi +5 more
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Some Unsolved Problems in Stability and Optimal Control Theory of Stochastic Systems
Mathematics, 2022 In spite of the fact that the theory of stability and optimal control for different types of stochastic systems is well developed and very popular in research, there are some simply and clearly formulated problems, solutions of which have not been found ...
Leonid Shaikhet
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Computing Lyapunov spectra with continuous Gram-Schmidt orthonormalization
, 1996 We present a straightforward and reliable continuous method for computing the full or a partial Lyapunov spectrum associated with a dynamical system specified by a set of differential equations.
Bennetin G +5 more
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Монотонные матричные дифференциальные уравнения Ляпунова и Рикатти [PDF]
, 2013 Узагальнено теорему Полачека-Терещака для випадку монотонного матричного диференціального рівняння Ляпунова та Рікатті. Встановлено існування одновимірного інваріантного багатовиду для рівняння Ляпунова. Використовуючи метод проективного стиску Гільберта-
Grechko, A. L. +2 more
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International Journal of Adaptive Control and Signal Processing, EarlyView.This work introduces an adaptive human pilot model that captures pilot time‐delay effects in adaptive control systems. The model enables the prediction of pilot–controller interactions, facilitating safer integration and improved design of adaptive controllers for piloted applications.
Abdullah Habboush, Yildiray Yildiz
wiley +1 more source
Numerical Continuation and SPDE Stability for the 2D Cubic-Quintic Allen-Cahn Equation
, 2015 We study the Allen-Cahn equation with a cubic-quintic nonlinear term and a stochastic $Q$-trace-class stochastic forcing in two spatial dimensions. This stochastic partial differential equation (SPDE) is used as a test case to understand, how numerical ...
Kuehn, Christian
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A Robust Adaptive One‐Sample‐Ahead Preview Super‐Twisting Sliding Mode Controller
International Journal of Adaptive Control and Signal Processing, EarlyView.Block Diagram of the Robust Adaptive One‐Sample‐Ahead Preview Super‐Twisting Sliding Mode Controller. ABSTRACT This article introduces a discrete‐time robust adaptive one‐sample‐ahead preview super‐twisting sliding mode controller. A stability analysis of the controller by Lyapunov criteria is developed to demonstrate its robustness in handling both ...
Guilherme Vieira Hollweg +5 more
wiley +1 more source