Hierarchical stability conditions of systems with time-varying delay

HB Zeng, ZL Zhai, W Wang - Applied Mathematics and Computation, 2021 - Elsevier
This paper studies the stability problem of time-varying delay systems. Firstly, By
constructing a delay-product Lyapunov-Krasovskii functional, a stability criterion is …

Finite-interval quadratic polynomial inequalities and their application to time-delay systems

JM Park, PG Park - Journal of the Franklin Institute, 2020 - Elsevier
This paper proposes two inequality lemmas for the stability analysis of time-delay systems to
obtain the stability criteria in terms of linear matrix inequalities from ones in terms of the …

Stability analysis of neural networks with time-varying delay using a new augmented Lyapunov–Krasovskii functional

C Hua, Y Wang, S Wu - Neurocomputing, 2019 - Elsevier
This paper examines the problem of asymptotic stability of continuous neural networks with
time-varying delay via a new Lyapunov–Krasovskii functional (LKF). First, a suitable …

Stability analysis of time-varying delay neural networks based on new integral inequalities

L Sun, Y Tang, W Wang, S Shen - Journal of the Franklin Institute, 2020 - Elsevier
This paper is concerned with the stability analysis of time-varying delay neural networks. By
introducing some new delay integral terms and relaxation matrix, an augmented Lyapunov …

A generalized multiple-integral inequality based on free matrices: Application to stability analysis of time-varying delay systems

JH Lee, JH Kim, PG Park - Applied Mathematics and Computation, 2022 - Elsevier
This study proposed a novel generalized multiple-integral inequality based on free matrices
in a quadratic form of an augmented vector stacked with a state and its derivative, with …

Further improved stability results for generalized neural networks with time-varying delays

Z Feng, H Shao, L Shao - Neurocomputing, 2019 - Elsevier
This paper is concerned with a new Lyapunov–Krasovskii functional (LKF) approach to
delay-dependent stability for generalized neural networks with time-varying delays (DNN). A …

New results on robust exponential stability of Takagi–Sugeno fuzzy for neutral differential systems with mixed time-varying delays

J Tranthi, T Botmart, W Weera, T La-inchua… - … and Computers in …, 2022 - Elsevier
This study aims to analyse the robust exponential stability for neutral differential equations of
the uncertain Takagi–Sugeno fuzzy system with distributed and discrete time interval delays …

Stability analysis of systems with time-varying delays using overlapped switching Lyapunov Krasovskii functional

R Abolpour, M Dehghani, HA Talebi - Journal of the Franklin Institute, 2020 - Elsevier
This paper presents a new stability analysis approach for time-varying delay continuous
systems which formulates the stability problem by presenting an overlapped switching …

Stability analysis of delayed neural network based on the convex method and the non-convex method

X Hu, X Liu, M Tang - Neurocomputing, 2022 - Elsevier
This paper investigates the asymptotic stability of neural network with time-varying delay. A
new Lyapunov–Krasovskii functional (LKF) is constructed with some non-integral delay …

Stability analysis of systems with timevarying delay via a novel Lyapunov functional

Y Chen, G Chen - IEEE/CAA Journal of Automatica Sinica, 2019 - ieeexplore.ieee.org
This paper investigates the stability problem for time-varying delay systems. To obtain a
larger delay bound, this paper uses the second-order canonical Bessel-Legendre (BL) …