Control of Chaos: Methods and Applications. I. Methods
Automation and Remote Control
Brief paper: Synthesis of fractional Laguerre basis for system approximation
Automatica (Journal of IFAC)
SIAM Journal on Numerical Analysis
Brief Prediction error methods for limit cycle data
Automatica (Journal of IFAC)
An RLC interconnect model based on fourier analysis
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Technical communique: A note on fractional-order derivatives of periodic functions
Automatica (Journal of IFAC)
Maximum number of frequencies in oscillations generated by fractional order LTI systems
IEEE Transactions on Signal Processing
Automatica (Journal of IFAC)
Existence of solutions for a class of fractional boundary value problems via critical point theory
Computers & Mathematics with Applications
Non-existence of finite-time stable equilibria in fractional-order nonlinear systems
Automatica (Journal of IFAC)
| Hi-index | 22.15 |
The aim of this note is to highlight one of the basic differences between fractional order and integer order systems. It is analytically shown that a time invariant fractional order system contrary to its integer order counterpart cannot generate exactly periodic signals. As a result, a limit cycle cannot be expected in the solution of these systems. Our investigation is based on Caputo's definition of the fractional order derivative and includes both the commensurate or incommensurate fractional order systems.