Legendre Approximation-Based Stability Test for Distributed Delay Systems: Legendre approximation-based stability test for distributed delay systems

Συγγραφείς: Alejandro Castaño, Mathieu Bajodek, Sabine Mondié

Πηγή: SIAM Journal on Numerical Analysis. 63:641-660

Θεματικοί όροι: Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.), Stability theory of functional-differential equations, necessary and sufficient stability condition, linear functional differential equation, Sensitivity, stability, well-posedness, Numerical approximation of solutions of functional-differential equations, Legendre polynomials approximation

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Global exponential contraction of functional differential equations

Συγγραφείς: Pham Huu Anh Ngoc

Πηγή: Evolution Equations and Control Theory. 14:668-679

Θεματικοί όροι: Asymptotic theory of functional-differential equations, Stability theory of functional-differential equations, exponential contraction, functional differential equation

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Σύνδεσμος πρόσβασης: https://zbmath.org/8017650
https://doi.org/10.3934/eect.2024076

Impact of multiple time delays on bifurcation of a class of fractional nearest-neighbor coupled neural networks

Συγγραφείς: Weinan Li, Maoxin Liao, Haoming Huang, Changjin Xu, Bingbing Li

Πηγή: Nonlinear Analysis, Vol 29, Iss 6 (2024)

Θεματικοί όροι: QA299.6-433, Stability theory of functional-differential equations, nearest-neighbor coupled neural networks, delay, stability, Neural networks for/in biological studies, artificial life and related topics, 01 natural sciences, Periodic solutions to functional-differential equations, fractional order, Hopf bifurcation, 0101 mathematics, Analysis, Bifurcation theory of functional-differential equations, Functional-differential equations with fractional derivatives

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Σύνδεσμος πρόσβασης: https://zbmath.org/7977985
https://doi.org/10.15388/namc.2024.29.37851
https://doaj.org/article/d8b7386779fe494a8302210118095824

Stability analysis in a delayed rumor propagation model with spatio-temporal diffusion terms

Συγγραφείς: Mortaji, F., Abta, A., Laarabi, H., Rachik, M.

Πηγή: Rendiconti del Circolo Matematico di Palermo Series 2. 74

Θεματικοί όροι: rumor propagation, Reaction-diffusion equations, Stability theory of functional-differential equations, center manifold theory, local stability, Partial functional-differential equations, partial differential equations, Initial-boundary value problems for second-order parabolic systems, delayed differential equations, Invariant manifolds of functional-differential equations

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Σύνδεσμος πρόσβασης: https://zbmath.org/8037010
https://doi.org/10.1007/s12215-025-01229-1

Opinion Dynamics Under Common Influencer Assumption or Leadership Control: Opinion dynamics under common influencer assumption or leadership control

Συγγραφείς: Cicolani, Chiara, Ouahab, Badis, Pignotti, Cristina

Πηγή: Journal of Optimization Theory and Applications. 205

Θεματικοί όροι: 34D05, 34K20, 91D10, Stability theory of functional-differential equations, time delays, Optimization and Control (math.OC), Convergence to consensus, Leadership control, Opinion dynamics, Time delays, Models of societies, social and urban evolution, convergence to consensus, FOS: Mathematics, opinion dynamics, leadership control, Asymptotic properties of solutions to ordinary differential equations, Mathematics - Optimization and Control

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Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2407.16901
https://zbmath.org/8034608
https://doi.org/10.1007/s10957-025-02673-w
https://hdl.handle.net/11697/263639
https://doi.org/10.1007/s10957-025-02673-w

Lagrange stability of quaternion‐valued memristive neural networks: Lagrange stability of quaternion-valued memristive neural networks

Συγγραφείς: Qun Huang, Nan Ma, Zhengwen Tu

Πηγή: Mathematical Methods in the Applied Sciences. 47:14796-14806

Θεματικοί όροι: norm, Lagrange stability, 0209 industrial biotechnology, Stability theory of functional-differential equations, quaternion memristive neural networks, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, nonlinear scalarization approach, Ordinary differential inclusions

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Linear Singular Continuous Time-varying Delay Equations: Stability and Filtering via LMI Approach: Linear singular continuous time-varying delay equations: stability and filtering via LMI approach

Συγγραφείς: Phat, Vu Ngoc, Thanh, Nguyen Truong

Πηγή: Acta Mathematica Vietnamica. 49:595-609

Θεματικοί όροι: Control problems for functional-differential equations, filters, time-varying delay, Stability theory of functional-differential equations, Linear functional-differential equations, stability, Implicit functional-differential equations, singularity, linear matrix inequalities

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Optimal control strategies and global dynamics for a dengue disease model with waning vaccine-induced immunity and incubation delay

Συγγραφείς: Tian, Xiaohong, Guo, Fangkai

Πηγή: Journal of Applied Mathematics and Computing. 70:4087-4115

Θεματικοί όροι: Control problems for functional-differential equations, incubation delay, Stability theory of functional-differential equations, optimal control strategies, waning vaccine-induced immunity, data fitting, global dynamics, dengue disease model

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Σύνδεσμος πρόσβασης: https://zbmath.org/8035054
https://doi.org/10.1007/s12190-024-02053-z

Some Extension of Hara-Sugie Stability Condition by Using Critical Delay: Some extension of Hara-Sugie stability condition by using critical delay

Συγγραφείς: Nishiguchi, Junya

Πηγή: Funkcialaj Ekvacioj. 67:61-83

Θεματικοί όροι: Stability theory of functional-differential equations, Linear functional-differential equations

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Quasi-uniform stability for fractional-order fuzzy neural networks with uncertain proportional delay

Συγγραφείς: Deng, Zhenhua, Zhang, Jie, Yang, Zhanying

Πηγή: Journal of Applied Mathematics and Computing. 70:639-656

Θεματικοί όροι: Stability theory of functional-differential equations, Finite-time stability, Henry-type integral inequality, fuzzy neural networks, fractional-order system, Neural networks for/in biological studies, artificial life and related topics, Functional-differential equations with fractional derivatives, proportional delay, quasi-uniform stability

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Robust tracking control for nonlinear fractional order delayed systems: Modified repetitive control approach: Robust tracking control for nonlinear fractional order delayed systems: modified repetitive control approach

Συγγραφείς: Parvin Mahmoudabadi, Mahsan Tavakoli‐Kakhki

Πηγή: Asian Journal of Control. 26:1808-1819

Θεματικοί όροι: Asymptotic stability in control theory, time-varying delay, 0209 industrial biotechnology, Stability theory of functional-differential equations, Lyapunov-based stability, fractional order systems, 0202 electrical engineering, electronic engineering, information engineering, Delay control/observation systems, 02 engineering and technology, nonlinear systems, Fuzzy functional-differential equations, Functional-differential equations with fractional derivatives, linear matrix inequality

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Mathematical modeling of terrorism dynamics: Qualitative analysis and theoretical perspective: Mathematical modeling of terrorism dynamics: qualitative analysis and theoretical perspective

Συγγραφείς: Abhishek Kumar, Kanica Goel, null Nilam

Πηγή: Mathematical Methods in the Applied Sciences. 48:32-51

Θεματικοί όροι: Stability theory of functional-differential equations, influence time, 0211 other engineering and technologies, Simulation of dynamical systems, counter-terrorism approach, terrorism, 02 engineering and technology, Stability of solutions to ordinary differential equations, stability, simulation, 16. Peace & justice, 01 natural sciences, 0103 physical sciences, mathematical model

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Impulsively fractional‐order time‐delayed gene regulatory networks: Existence and asymptotic stability: Impulsively fractional-order time-delayed gene regulatory networks: existence and asymptotic stability

Συγγραφείς: M. Mallika Arjunan, Thabet Abdeljawad, A. Pratap, Ali Yousef

Πηγή: Asian Journal of Control. 26:1165-1177

Θεματικοί όροι: asymptotic stability, 0209 industrial biotechnology, Stability theory of functional-differential equations, Systems biology, networks, 0202 electrical engineering, electronic engineering, information engineering, Functional-differential equations with impulses, fractional delay systems, 02 engineering and technology, boundedness, impulsive conditions, gene regulatory networks, Functional-differential equations with fractional derivatives, existence and uniqueness

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Σύνδεσμος πρόσβασης: https://zbmath.org/7892541
https://doi.org/10.1002/asjc.3269

Decoupled matrix Riccati differential equations approach for robust boundary data completion in time-fractional diffusion problems

Συγγραφείς: Fadhel Jday, Ridha Mdimagh, Haithem Omri

Πηγή: Arabian Journal of Mathematics. 14:85-105

Θεματικοί όροι: Stability theory of functional-differential equations, Anomalous diffusion models (subdiffusion, superdiffusion, continuous-time random walks, etc.), Spectral theory and eigenvalue problems for partial differential equations, Initial-boundary value problems for PDEs with pseudodifferential operators, Fractional partial differential equations

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Dynamical analysis of a Beddington–DeAngelis commensalism system with two time delays: Dynamical analysis of a Beddington-DeAngelis commensalism system with two time delays

Συγγραφείς: Qu, Mingzhu

Πηγή: Journal of Applied Mathematics and Computing. 69:4111-4134

Θεματικοί όροι: Population dynamics (general), Stability theory of functional-differential equations, commensalism system, two time delays, Beddington-DeAngelis functional response, Bifurcation theory of functional-differential equations

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Σύνδεσμος πρόσβασης: https://zbmath.org/7886615
https://doi.org/10.1007/s12190-023-01913-4

Complex dynamics induced by multiple gestation delays in a Leslie–Gower‐type system with competitive interference: Complex dynamics induced by multiple gestation delays in a Leslie-Gower-type system with competitive interference

Συγγραφείς: Archana Ojha, Nilesh Kumar Thakur

Πηγή: Mathematical Methods in the Applied Sciences. 46:17725-17759

Θεματικοί όροι: gestation delays, 0301 basic medicine, Ecology, Stability theory of functional-differential equations, chaos, Leslie-Gower model, stability, 01 natural sciences, Qualitative investigation and simulation of models involving functional-differential equations, 03 medical and health sciences, Population dynamics (general), 0103 physical sciences, Hopf bifurcation, prey-predator, Bifurcation theory of functional-differential equations

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Σύνδεσμος πρόσβασης: https://zbmath.org/7815972
https://doi.org/10.1002/mma.9528

Stability analysis for singular random impulsive control system: A novel neutral impulsive delay system approach: Stability analysis for singular random impulsive control system: a novel neutral impulsive delay system approach

Συγγραφείς: T. Senthilkumar, A. Vinodkumar

Πηγή: Mathematical Methods in the Applied Sciences. 46:14200-14213

Θεματικοί όροι: Control problems for functional-differential equations, 0209 industrial biotechnology, Stability theory of functional-differential equations, Lyapunov-Krasovskii functional, Nonautonomous smooth dynamical systems, Stochastic functional-differential equations, Functional-differential equations with impulses, 02 engineering and technology, Robust stability, stability analysis, Neutral functional-differential equations, random impulsive control, singular time varying delay systems, 0202 electrical engineering, electronic engineering, information engineering

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Mixed $$H_{\infty }$$ and Passivity Performance for Delayed Conformable Fractional-Order Neural Networks: Mixed \(H_\infty\) and passivity performance for delayed conformable fractional-order neural networks

Συγγραφείς: Nguyen Thi Thanh Huyen, Nguyen Truong Thanh, Nguyen Huu Sau, Tran Nguyen Binh, Mai Viet Thuan

Πηγή: Circuits, Systems, and Signal Processing. 42:5142-5160

Θεματικοί όροι: Stability theory of functional-differential equations, time delays, \(H^\infty\)-control, Perturbations of ordinary differential equations, conformable fractional-order neural networks, Delay control/observation systems, Stabilization of systems by feedback, uniform asymptotic stability, mixed \(H_\infty\) and passivity performance

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Σύνδεσμος πρόσβασης: https://zbmath.org/7957459
https://doi.org/10.1007/s00034-023-02358-7

A delay-derivative-dependent switched system model method for stability analysis of linear systems with time-varying delay

Συγγραφείς: Zeng, Hong-Bing, Chen, Yu-Jie, He, Yong, Zhang, Xian-Ming

Πηγή: Automatica. 175:112183

Θεματικοί όροι: time-varying delay, switching mode, Control/observation systems governed by functional-differential equations, Stability theory of functional-differential equations, Linear systems in control theory, Lyapunov-Krasovskii functional, Delay control/observation systems, delay system, Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems), Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory, stability, average dwell time

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Finite-time stability of stochastic systems with proportional delay involving hybrid impulses

Συγγραφείς: Xu, Haofeng, Zhu, Quanxin

Πηγή: Communications in Nonlinear Science and Numerical Simulation. 143:108600

Θεματικοί όροι: Stability theory of functional-differential equations, hybrid impulses, Finite-time stability, Stochastic functional-differential equations, Functional-differential equations with impulses, nonlinear system, stochastic finite-time stability, proportional delay

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