Finite-time stability analysis of fractional-order with multi-state time delay
نویسندگان
چکیده
In this paper, the finite-time stabilization of a class of multi-state time delay of fractional-order system is proposed.First, we define finite-time stability with the fractional-order system.Second,by using Generalized Gronwall’s approach and the methods of the inequality,we get some conditions of finite-time stability for the fractional system with multi-state delay.Finally,a numerical example is given to illustrate the result. Keywords—Finite-time stabilization, Fractional-order system, Gronwall inequality.
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 کاملA numerical approach for variable-order fractional unified chaotic systems with time-delay
This paper proposes a new computational scheme for approximating variable-order fractional integral operators by means of finite element scheme. This strategy is extended to approximate the solution of a class of variable-order fractional nonlinear systems with time-delay. Numerical simulations are analyzed in the perspective of the mean absolute error and experimental convergence order. To ill...
متن کاملA New Implicit Finite Difference Method for Solving Time Fractional Diffusion Equation
In this paper, a time fractional diffusion equation on a finite domain is con- sidered. The time fractional diffusion equation is obtained from the standard diffusion equation by replacing the first order time derivative by a fractional derivative of order 0 < a< 1 (in the Riemann-Liovill or Caputo sence). In equation that we consider the time fractional derivative is in...
متن کاملIdentification and Control of MIMO Systems with State Time Delay (Short Communication)
Time-delay identification is one of the most important parameters in designing controllers. In the cases where the number of inputs and outputs in a system are more than one, this identification is of great concern. In this paper, a novel autocorrelation-based scheme for the state variable time-delay identification for multi-input multi-output (MIMO) system has been presented. This method is ba...
متن کاملFinite Time Stability Analysis of Linear Autonomous Fractional Order Systems with Delayed State
For the first time, in this paper, a stability test procedure is proposed for linear time-invariant fractional order systems (LTI FOS). Paper extends some basic results from the area of finite time and practical stability to linear, continuous, fractional order time invariant time-delay systems given in state space form. Sufficient conditions of this kind of stability, for particular class of f...
متن کامل