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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …