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Lyapunov Functionals in Integral Equations
Axioms, 2023 Lyapunov functions/functionals have found their footing in Volterra integro-differential equations. This is not the case for integral equations, and it is therefore further explored in this paper.
Youssef N. Raffoul, Joseph Raffoul
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Mathematical exploration of a diffusive infection’s dynamics and simulation [PDF]
Scientific ReportsIn this work, we construct Lyapunov functionals to analyze the global stability of the equilibria in reaction-diffusion systems arising in biological models.
Rassim Darazirar +5 more
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Improved Discontinuous Lyapunov Functionals for Stability Analysis of Sampled-Data Systems
IEEE Access, 2021 This paper is devoted to proposing improved discontinuous Lyapunov functionals for the stability analysis of sampled-data systems. Specifically, by relaxing the existing looped-functional, this paper makes the first attempt to integrate 1/t-tk ∫ ...
Thanh Binh Nguyen, Sung Hyun Kim
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Stability Analysis of Gyroscopic Systems with Delay under Synchronous and Asynchronous Switching [PDF]
Journal of Applied and Computational Mechanics, 2022 With the aid of the decomposition method and the Lyapunov direct method, stability of linear gyroscopic systems with switching and a constant delay in positional forces is investigated. The cases of synchronous and asynchronous switching are studied. The
Alexander Aleksandrov, Nikolai Stepenko
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On perturbing lyapunov functions [PDF]
Mathematical Systems Theory, 1976 A new idea of perturbing Lyapunov functions is presented which permits one to discuss nonuniform properties of solutions of differential equations under weaker ...
V. Lakshmikantham, S. Leela
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Stability of port-Hamiltonian systems with mixed time delays subject to input saturation
Nonlinear Analysis, 2023 In this paper, we investigate the stability of port-Hamiltonian systems with mixed time-varying delays as well as input saturation. Three types of time delays, including state delay, input delay, and output delay, are all assumed to be bounded.
Yufei Chen, Qihuai Liu
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On the Stability of Solutions of Neutral Differential Equations with Distributed Delay [PDF]
Известия Иркутского государственного университета: Серия "Математика", 2018 We consider one class of systems of linear nonautonomous differential equations of neutral type with distributed delay. The matrix in front of the derivative of the unknown vector-function with delay is constant, the matrix in front of the unknown vector-
T. K. Yskak
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Advances in Mathematical Physics, 2021 We investigate the stability of solutions of perturbed set differential equations with causal operators in regard to their corresponding unperturbed ones considering the difference in initial conditions (time and position) by utilizing Lyapunov functions
Coșkun Yakar, Hazm Talab
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Entropy, Age and Time Operator
Entropy, 2015 The time operator and internal age are intrinsic features of entropy producing innovation processes. The innovation spaces at each stage are the eigenspaces of the time operator.
Ilias Gialampoukidis, Ioannis Antoniou
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An efficient deep learning model for brain tumour detection with privacy preservation
CAAI Transactions on Intelligence Technology, EarlyView., 2023 Abstract Internet of medical things (IoMT) is becoming more prevalent in healthcare applications as a result of current AI advancements, helping to improve our quality of life and ensure a sustainable health system. IoMT systems with cutting‐edge scientific capabilities are capable of detecting, transmitting, learning and reasoning.
Mujeeb Ur Rehman +8 more
wiley +1 more source