Stability and convergence via Lyapunov-like functionals of stochastic parabolic partial differential equations.
Mahmoud J. AnabtawiS. SathananthanPublished in: Appl. Math. Comput. (2004)
Keyphrases
- partial differential equations
- asymptotic stability
- stability analysis
- ambrosio tortorelli
- lyapunov function
- image denoising
- anisotropic diffusion
- iterative algorithms
- sufficient conditions
- level set
- fault tolerant control
- numerical solution
- image enhancement
- evolution equation
- image processing
- hopfield neural network
- robust stability
- stability criterion
- nonlinear systems
- higher order
- multiscale
- fourth order
- numerical methods
- closed loop
- control system
- finite difference
- tracking error
- numerical algorithms
- neural network
- energy functional
- numerical scheme
- high order
- denoising
- stochastic control
- control scheme
- differential equations
- convergence rate
- delay dependent
- nonlinear partial differential equations
- linear matrix inequality
- mumford shah
- diffusion equation
- curve evolution
- dynamical systems
- initial conditions
- finite difference method
- pattern recognition
- machine learning