Results 31 to 40 of about 4,196,424 (240)
Lyapunov-based stability of delayed linear differential algebraic systems
, 2021 International audienceThe Lyapunov stability theorem for linear systems is extended to linear delay-differential algebraic systems of index one. In particular, bounds on the decay of the solution are established in terms of solvability of a certain ...
Sawoor, Ann Al +3 more
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Axioms, 2022 This paper discusses the robust stability and stabilization of polynomial fractional differential (PFD) systems with a Caputo derivative using the sum of squares. In addition, it presents a novel method of stability and stabilization for PFD systems.
Hassan Yaghoubi +2 more
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Riccati matrix differential equation and the discrete order preserving property [PDF]
, 2023 summary:In this paper we recall discrete order preserving property related to the discrete Riccati matrix equation. We present results obtained by applying this property to the solutions of the Riccati matrix differential ...
Štoudková Růžičková, Viera
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Mathematics, 2019 This work is concerned with the delay-dependent criteria for exponential stability analysis of neutral differential equation with a more generally interval-distributed and discrete time-varying delays. By using a novel Lyapunov−Krasovkii functional,
Janejira Tranthi +3 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2023 The method and the formula of variation of constants for ordinary differential equations (ODEs) is a fundamental tool to analyze the dynamics of an ODE near an equilibrium.
Junya Nishiguchi
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LMI conditions for some dynamical behaviors of fractional-order quaternion-valued neural networks
Advances in Difference Equations, 2019 This paper addresses the issue of three dynamical behaviors including global Mittag-Leffler stability, robust stability and projection synchronization for fractional-order quaternion-valued neural networks (FQVNNs).
Dongyuan Lin +3 more
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A two-variable approach to solve the polynomial Lyapunov equation
, 2001 A two-variable polynomial approach to solve the one-variable polynomial Lyapunov equation is proposed. Lifting the problem from the one-variable to the two-variable context allows to use Faddeev-type recursions in order to solve the polynomial Lyapunov ...
Peeters, Ralf, Rapisarda, Paolo
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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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Asymptotic behaviours of stochastic differential delay equations [PDF]
, 2006 Most of the existing results on stochastic stability use a single Lyapunov function, but we shall instead use multiple Lyapunov functions in this paper.
Shen, Yi, Mao, Xuerong
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