Asymptotic Analysis of Linear and Interval Linear Fractional-Order Neutral Delay Differential Systems Described by the Caputo-Fabrizio Derivative
نویسندگان
چکیده
منابع مشابه
Fractional Descriptor Continuous-Time Linear Systems Described by the Caputo-Fabrizio Derivative
The Weierstrass–Kronecker theorem on the decomposition of the regular pencil is extended to fractional descriptor continuous-time linear systems described by the Caputo–Fabrizio derivative. A method for computing solutions of continuous-time systems is presented. Necessary and sufficient conditions for the positivity and stability of these systems are established. The discussion is illustrated ...
متن کاملReachability Of Fractional Continuous-Time Linear Systems Using The Caputo-Fabrizio Derivative
The Caputo-Fabrizio definition of the fractional derivative is applied to analysis of the positivity and reachability of continuous-time linear systems. Necessary and sufficient conditions for the reachability of standard and positive fractional continuous-time linear systems are established. INTRODUCTION A dynamical system is called positive if its trajectory starting from any nonnegative init...
متن کاملExact and numerical solutions of linear and non-linear systems of fractional partial differential equations
The present study introduces a new technique of homotopy perturbation method for the solution of systems of fractional partial differential equations. The proposed scheme is based on Laplace transform and new homotopy perturbation methods. The fractional derivatives are considered in Caputo sense. To illustrate the ability and reliability of the method some examples are provided. The results ob...
متن کاملon the effect of linear & non-linear texts on students comprehension and recalling
چکیده ندارد.
15 صفحه اولStability Analysis of Linear Fractional-Order Neutral Systems with Time Delay
In this paper, we mainly study the Lyapunov asymptotical stability of linear and interval linear fractional order neutral systems with time delay. By applying the characteristic equations of these two systems, some simple sufficient Lyapunov asymptotical stability conditions are deserved, which are quite different from other ones in literature. In addition, some numerical examples are provided ...
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 Mathematics
سال: 2020
ISSN: 2152-7385,2152-7393
DOI: 10.4236/am.2020.1112084