Abstract
Fractional-order chaotic system with variable-order and unknown parameters, as an excellent tool to describe the memory and hereditary characteristics of the complex phenomena in reality, remains important, but nowadays there exist few results about this system. This paper presents a finite-time anti-synchronization of two these systems based on the Mittag-Leffler stable theory and norm theory, in which the order varies with time and the unknown parameters of the systems are estimated. Moreover, a corollary about the monotone effect of variable order on the norm of the error system is deduced. We take different nonlinear variable orders for two identical Lü fractional chaotic systems and for two different Lü and Chen–Lee fractional chaotic systems as examples. The simulations illustrate the effectiveness and feasibility of the proposed control scheme.
| Original language | English |
|---|---|
| Pages (from-to) | 1967-1980 |
| Number of pages | 14 |
| Journal | Nonlinear Dynamics |
| Volume | 86 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published or Issued - 1 Nov 2016 |
Keywords
- Anti-synchronization
- Fractional chaotic system
- Unknown parameters
- Variable-order
ASJC Scopus subject areas
- Mechanical Engineering
- Aerospace Engineering
- Ocean Engineering
- Applied Mathematics
- Electrical and Electronic Engineering
- Control and Systems Engineering