Quadratic Lyapunov Functions for Stability of the Generalized Proportional Fractional Differential Equations with Applications to Neural Networks.
Ricardo AlmeidaRavi P. AgarwalSnezhana G. HristovaDonal O'ReganPublished in: Axioms (2021)
Keyphrases
- differential equations
- dynamical systems
- neural network
- stability analysis
- continuous functions
- feed forward artificial neural networks
- control theory
- asymptotic stability
- lyapunov function
- stability criterion
- transmission line
- linear matrix inequality
- numerical solution
- ordinary differential equations
- initial conditions
- boundary value problem
- nonlinear functions
- sufficient conditions
- artificial neural networks
- brownian motion
- fault tolerant control
- numerical methods
- difference equations
- fuzzy systems
- equilibrium point
- convex functions
- closed loop
- partial differential equations
- fuzzy logic
- pairwise
- pattern recognition
- optimal control problems
- linear systems
- nonlinear dynamics
- nonlinear systems
- control law
- genetic algorithm
- chaotic systems
- adaptive control
- boundary conditions
- control scheme
- dynamic systems
- back propagation
- computational complexity
- multiscale