Existence and multiplicity of weak quasi-periodic solutions for second order Hamiltonian system with a forcing term [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2014 In this paper, we first obtain three inequalities and two of them, in some sense, generalize Sobolev's inequality and Wirtinger's inequality from periodic case to quasi-periodic case, respectively.
Xingyong Zhang
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A Generalized Wirtinger's Inequality with Applications to a Class of Ordinary Differential Equations [PDF]
Journal of Inequalities and Applications, 2009 We first prove a generalized Wirtinger's inequality. Then, applying the inequality, we study estimates for lower bounds of periods of periodic solutions for a class of delay differential equations , and , where , , and and , are two given ...
Cheng Rong, Zhang Dongfeng
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Discrete inequalities of Wirtinger's type for higher differences
Journal of Inequalities and Applications, 1997 Discrete version of Wirtinger's type inequality for higher differences, where and is considered. Under some conditions, the best constants , and are determined.
Milovanović Gradimir V +1 more
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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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Complexity, 2021 The problem of finite-time stability of switched genetic regulatory networks (GRNs) with time-varying delays via Wirtinger’s integral inequality is addressed in this study.
Shanmugam Saravanan +5 more
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An improved delay-dependent stabilization criterion of linear time-varying delay systems: An iterative method [PDF]
, 2023 summary:This paper presents delay-dependent stabilization criteria for linear time-varying delay systems. A less conservative stabilization criterion is derived by invoking a new Lyapunov-Krasovskii functional and then, extended reciprocally convex ...
Modala, Venkatesh +2 more
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Finite-Time Passivity Analysis of Neutral-Type Neural Networks with Mixed Time-Varying Delays
Mathematics, 2021 This research study investigates the issue of finite-time passivity analysis of neutral-type neural networks with mixed time-varying delays. The time-varying delays are distributed, discrete and neutral in that the upper bounds for the delays are ...
Issaraporn Khonchaiyaphum +3 more
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Identification problem for nonlinear beam -- extension for different types of boundary conditions [PDF]
, 2022 summary:Identification problem is a framework of mathematical problems dealing with the search for optimal values of the unknown coefficients of the considered model.
Machalová, Jitka, Radová, Jana
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Journal of Inequalities and Applications, 2023 This article investigates new delay-dependent finite-time boundedness for generalized neural networks (GNNs) with mixed-interval time-varying delays based on nonfragile feedback control to achieve the improved stability criterion.
Chantapish Zamart, Thongchai Botmart
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Design of uncertainty and disturbance estimator based tracking control for fuzzy switched systems
IET Control Theory & Applications, 2021 In this paper, an uncertainty and disturbance estimator (UDE)‐based control is employed to ensure the finite‐time tracking and disturbance rejection performance for a class of Takagi–Sugeno fuzzy switched systems including additive time‐varying delays ...
R. Sakthivel +3 more
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