Stability of Fractional-Order Systems with Rational Orders
نویسنده
چکیده
This paper deals with stability of a certain class of fractional order linear and nonlinear systems. The stability is investigated in the time domain and the frequency domain. The general stability conditions and several illustrative examples are presented as well.
منابع مشابه
Stability of Fractional-order Systems with Rational Orders: a Survey
In this survey paper we review the methods for stability investigation of a certain class of fractional order linear and nonlinear systems. The stability is investigated in the time domain and the frequency domain. The general stability conditions and several illustrative examples are presented as well. Mathematics Subject Classification: 26A33 (main), 93D25, 30F99
متن کاملFinite 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 کاملModified Sliding-Mode Control Method for Synchronization a Class of Chaotic Fractional-Order Systems with Application in Encryption
In this study, we propose a secure communication scheme based on the synchronization of two identical fractional-order chaotic systems. The fractional-order derivative is in Caputo sense, and for synchronization, we use a robust sliding-mode control scheme. The designed sliding surface is taken simply due to using special technic for fractional-order systems. Also, unlike most manuscripts, the ...
متن کاملFractional order robust adaptive intelligent controller design for fractional-order chaotic systems with unknown input delay, uncertainty and external disturbances
In this paper, a fractional-order robust adaptive intelligent controller (FRAIC) is designed for a class of chaotic fractional order systems with uncertainty, external disturbances and unknown time-varying input time delay. The time delay is considered both constant and time varying. Due to changes in the equilibrium point, adaptive control is used to update the system's momentary information a...
متن کاملStability analysis of fractional-order nonlinear Systems via Lyapunov method
In this paper, we study stability of fractional-order nonlinear dynamic systems by means of Lyapunov method. To examine the obtained results, we employe the developed techniques on test examples.
متن کامل