A Lyapunov approach to the stability of fractional differential equations.
Jean-Claude TrigeassouNezha MaamriJocelyn SabatierAlain OustaloupPublished in: Signal Process. (2011)
Keyphrases
- differential equations
- fractional order
- dynamical systems
- asymptotic stability
- stability analysis
- feed forward artificial neural networks
- control theory
- stability criterion
- transmission line
- lyapunov function
- fault tolerant control
- sufficient conditions
- equilibrium point
- nonlinear differential equations
- ordinary differential equations
- nonlinear systems
- delay dependent
- closed loop
- brownian motion
- initial conditions
- numerical solution
- control system
- numerical methods
- boundary value problem
- partial differential equations
- linear matrix inequality
- dynamic systems
- control law
- state space
- linear systems
- control scheme
- control method
- robust stability
- runge kutta
- machine learning
- difference equations
- neural network
- exponential stability
- pairwise
- genetic algorithm