Finite‐time stability of a class of oscillating systems with two delays

X Cao, JR Wang - Mathematical methods in the applied …, 2018 - Wiley Online Library
In this paper, we study finite‐time stability of an oscillating system with 2 delays. To derive a
bounded of state vector, we use a representation of explicit solution involving 2‐delayed …

Finite-time stability criteria of linear system with non-differentiable time-varying delay via new integral inequality

J Puangmalai, J Tongkum, T Rojsiraphisal - Mathematics and Computers in …, 2020 - Elsevier
In this article, a new integral inequality based on a free-matrix for bounding the integral∫
abx ̇ T (u) R x ̇ (u) du has been proposed. The new inequality and appropriated Lyapunov …

Finite time stability of semilinear delay differential equations

Z Luo, W Wei, JR Wang - Nonlinear dynamics, 2017 - Springer
In this paper, we study finite time stability for two classes of nonlinear delay differential
equations, one is equation with a nonlinearity independent of delay and the other is …

Finite time stability analysis of systems based on delayed exponential matrix

Z Luo, JR Wang - Journal of Applied Mathematics and Computing, 2017 - Springer
In this paper, we analyze finite time stability for a class of differential equations with finite
delay. Some sufficient conditions for the finite time stability results are derived based on …

[PDF][PDF] Finite-time stability of continuous time delay systems: Lyapunov-like approach with Jensen's and Coppel's inequality

DL Debeljkovic, SB Stojanovic… - Acta Polytechnica …, 2013 - epa.niif.hu
In this paper, the finite-time stability (FTS) of linear continuous time-delay systems is studied.
By using suitable Lyapunov-like function and Jensen's and Coppel's inequality, a FTS …

An improved finite‐time stability and stabilization of linear system with constant delay

T Rojsiraphisal, J Puangmalai - Mathematical Problems in …, 2014 - Wiley Online Library
Practical systems in engineering fields often require that values of state variables, during the
finite‐time interval, must not exceed a certain value when the initial values of state are given …

Delay‐dependent conditions for finite time stability of linear time‐varying systems with delay

M Chen, J Sun - Asian Journal of Control, 2020 - Wiley Online Library
This paper investigates the problem of finite time stability of linear time‐varying system with
delay. By constructing an augmented time‐varying Lyapunov functional and using the …

[PDF][PDF] Improved results on finite time stability of time delay systems: Jensen's inequality-based approach

DL Debeljković, IM Buzurović, GV Simeunović… - Tehnika, 2018 - academia.edu
In this study, finite-time stability of the linear continuous time-delay systems was
investigated. A novel formulation of the Lyapunov-like function was used to develop a new …

[PDF][PDF] Finite time stability of linear control systems with multiple delays

PC Jackreece - Control Theory and Informatics, 2016 - core.ac.uk
In this paper, we considered finite time stability of a class of linear control systems. By using
suitable matrix measures and Coppel's inequality a bound for the solution of the linear …

Finite time stability of continuous time delay systems: Jensen's inequality-based approach

DL Debeljkovic, IM Buzurovic… - 2014 9th IEEE …, 2014 - ieeexplore.ieee.org
In this study, finite-time stability of the linear continuous time-delay systems was
investigated. A novel formulation of the Lyapunov-like function was used to develop a new …