Lyapunov-Krasovskii Functionals Parameterized with polynomials [PDF]
IFAC Postprint Volumes IPPV / International Federation of Automatic Control, 2009 A novel method based on Lyapunov-Krasovskii functionals for the stability analysis of linear systems with constant is introduced. The Lyapunov-Krasovskii functionals are provided using polynomial parameters. Stability conditions are derived in the form of linear matrix inequalities. Examples show that these computationally tractable conditions can give
Alexandre Seuret
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Lyapunov–Krasovskii functionals for predictor feedback control of linear systems with multiple input delays [PDF]
Applied Mathematics and Computation, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
James Lam, Zhao-yan Li, Bin Zhou
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Lyapunov—Krasovskii functionals for linear systems with input delay
IFAC-PapersOnLine, 2019 Abstract In this contribution, linear input delay system with predictor control is studied. The system has some specific properties. First, the time delay affects only the input variable and not the state one. Second, the integral presented in distributed delay term has an exponential type kernel.
V L Kharitonov
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Robust stability analysis of impulsive complex-valued neural networks with time delays and parameter uncertainties [PDF]
Journal of Inequalities and Applications, 2017 The present study considers the robust stability for impulsive complex-valued neural networks (CVNNs) with discrete time delays. By applying the homeomorphic mapping theorem and some inequalities in a complex domain, some sufficient conditions are ...
Yuanshun Tan +3 more
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Lyapunov--Krasovskii Functional for Discretized Homogeneous Systems [PDF]
SIAM Journal on Control and Optimization, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Efimov, Denis, Aleksandrov, Alexander
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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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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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A study on the admissibility of fractional singular systems with variable and constant delays
MANAS: Journal of Engineering, 2023 This paper deals with fractional singular systems with mixed delays and several admissibility criteria are obtained by using Lyapunov-Krasovskii functionals, model transformation, useful lemmas, zero equations and other well-known inequalities.
Abdullah Yiğit
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Mathematics, 2021 In this paper, a class of systems of linear and non-linear delay differential equations (DDEs) of first order with time-varying delay is considered. We obtain new sufficient conditions for uniform asymptotic stability of zero solution, integrability of ...
Cemil Tunç +3 more
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