Results 61 to 70 of about 2,994 (165)

Hilfer fractional derivatives and their role in Wirtinger-type inequalities with applications

Journal of Inequalities and Applications
In this paper, we explore novel Wirtinger-type inequalities for the Hilfer fractional derivatives. By formulating suitable integral identities and employing Hölder’s inequality, we propose a class of generalized Hilfer fractional Wirtinger-type ...
Samraiz Muhammad, Yussouf Areej, Naheed Saima, Etemad Sina, Tariboon Jessada   +4 more
doaj   +1 more source

A Generalized Wirtinger's Inequality with Applications to a Class of Ordinary Differential Equations

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 x˙(t)=−∑k=1nf(x(t−kr ...
Rong Cheng, Dongfeng Zhang
doaj   +1 more source

Extended Dissipativity Analysis and Synthesis for Discrete‐Time Lur'e Delayed Systems: Matrix‐Separation‐Based Lyapunov Functional Method

IET Control Theory &Applications, Volume 19, Issue 1, January/December 2025.
This paper develops a matrix‐separation‐based Lyapunov functional method to study extended dissipativity analysis issue of discrete‐time Lur'e‐type delayed systems. The advanced idea of matrix‐separation is reflected in Lyapunov functional candidates and estimate summation terms as precisely as feasible. ABSTRACT This paper develops a matrix‐separation‐
Ke‐You Xie, Sangmoon Lee, Chuan‐Ke Zhang, Li Jin, Yajuan Liu, Yong He   +5 more
wiley   +1 more source

Corrigendum

Advances in Mechanical Engineering, 2018
Zhanshan Zhao, Meili He, Jing Zhang, and Guowei Xu. Synchronization approach for chaotic time-varying delay system based on Wirtinger inequality. Advances in Mechanical Engineering 2017; 9(1): 1-9.
doaj   +1 more source

Wirtinger-Type Inequality and the Stability Analysis of Delayed Lur'e System

Discrete Dynamics in Nature and Society, 2013
This paper proposes a new delay-depended stability criterion for a class of delayed Lur'e systems with sector and slope restricted nonlinear perturbation.
Zixin Liu, Jian Yu, Daoyun Xu, Dingtao Peng   +3 more
doaj   +1 more source

Stability Analysis of Second‐Order Systems With Digital PID Controller: An Impulsive System Conversion Method

IET Control Theory &Applications, Volume 19, Issue 1, January/December 2025.
Under expected control performance, the evaluation on acceptable sampling upper bound of proportional‐integral‐derivative controlled in second‐order systems is optimised with a view to maintaining the desired control performance over larger sample periods, while simultaneously reducing the communication burden.
Hong‐Zhang Wang, Xing‐Chen Shangguan, Qian Liu, Yuan‐Hang Yang, Chuan‐Ke Zhang   +4 more
wiley   +1 more source

Wirtinger-type estimates via hilfer fractional derivatives and their role in economics

Mathematical and Computer Modelling of Dynamical Systems
This study offers novel [Formula: see text]-Hilfer version of Wirtinger-type estimates in the context of [Formula: see text] spaces for [Formula: see text] by using Hölder’s inequality.
Saima Naheed, Areej Yussouf, Muhammad Samraiz, Sina Etemad, Jessada Tariboon   +4 more
doaj   +1 more source

H ∞ ${H} _{ {\infty}} $ analysis and switching control for uncertain discrete switched time-delay systems by discrete Wirtinger inequality

Advances in Difference Equations, 2017
In this paper, the H ∞ $H_{\infty} $ performance analysis and switching control of uncertain discrete switched systems with time delay and linear fractional perturbations are considered via a switching signal design.
Ker-Wei Yu, Chang-Hua Lien, Hao-Chin Chang   +2 more
doaj   +1 more source

Second-Order Consensus for Multi-Agent Systems With Time-Varying Delays Based on Delay-Partitioning

IEEE Access, 2020
A consensus problem for second-order agents network with time-varying delays under the directed fixed topology is investigated in this paper. For the convenience of analysing, the original system is converted into an equivalent system associated with ...
Qi Cui, Jie Sun, Zhanshan Zhao, Yujuan Zheng   +3 more
doaj   +1 more source

Nonuniform Sampled-Data Control for Synchronization of Semi-Markovian Jump Stochastic Complex Dynamical Networks with Time-Varying Delays

Complexity, 2022
In this paper, the problem of exponential synchronization of semi-Markov jump stochastic complex dynamical networks using nonuniform sampled-data control with random delayed information exchanges among dynamical nodes are discussed.
N. Sakthivel, Yong-Ki Ma, M. Mounika Devi, G. Manopriya, V. Vijayakumar, Mooyul Huh   +5 more
doaj   +1 more source