Finite-time stability of impulsive fractional-order systems with time-delay
نویسندگان
چکیده
منابع مشابه
Finite Time Mix Synchronization of Delay Fractional-Order Chaotic Systems
Chaos synchronization of coupled fractional order differential equation is receiving increasing attention because of its potential applications in secure communications and control processing. The aim of this paper is synchronization between two identical or different delay fractional-order chaotic systems in finite time. At first, the predictor-corrector method is used to obtain the solutions ...
متن کاملFinite time stabilization of time-delay nonlinear systems with uncertainty and time-varying delay
In this paper, the problem of finite-time stability and finite-time stabilization for a specific class of dynamical systems with nonlinear functions in the presence time-varying delay and norm-bounded uncertainty terms is investigated. Nonlinear functions are considered to satisfy the Lipchitz conditions. At first, sufficient conditions to guarantee the finite-time stability for time-delay nonl...
متن کاملStability Analysis of Fractional Order Systems with Time Delay
In this paper, we mainly study the stability of linear and interval linear fractional systems with time delay. By applying the characteristic equations, a necessary and sufficient stability condition is obtained firstly, and then some sufficient conditions are deserved. In addition, according to the equivalent relationship of fractional order systems with order 0 < α ≤ 1 and with order 1 ≤ β < ...
متن کاملFinite-time stability analysis of fractional order time delay systems: Bellman-Gronwall`s approach
The paper extends some basic results from the area of finite time and practical stability to nonlinear , perturbed , fractional order time-delay systems where a robust stability test procedure is proposed. The problem of sufficient conditions that enable system trajectories to stay within the a priori given sets for the particular class of nonlinear fractional order time delay systems is examin...
متن کاملStability Map of Fractional Order Time-Delay Systems
In this paper, the stability robustness is considered for linear time invariant (LTI) fractional order systems with time delay against delay uncertainties. The complexity arises due to the exponential type transcendental terms and fractional order in their characteristic equation. We show that this procedure numerically reveals all possible stability regions exclusively in the space of the dela...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Applied Mathematical Modelling
سال: 2016
ISSN: 0307-904X
DOI: 10.1016/j.apm.2015.11.012