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Lyapunov Functionals and Stability of Stochastic Functional Differential Equations

Stability conditions for functional differential equations can be obtained using Lyapunov functionals. Lyapunov Functionals and Stability of Stochastic Functional Differential Equations describes the general method of construction of Lyapunov functionals to investigate the stability of differential...

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Bibliographic Details
Main Author: Shaikhet, Leonid
Format: eBook
Language:English
Published: Cham Springer International Publishing 2013, 2013
Edition:1st ed. 2013
Subjects:
Mechanics, Applied
Complex Systems
Difference Equations
Control And Systems Theory
Calculus Of Variations And Optimization
Probability Theory
Functional Equations
Difference And Functional Equations
Multibody Systems And Mechanical Vibrations
System Theory
Vibration
Control Engineering
Multibody Systems
Mathematical Optimization
Calculus Of Variations
Probabilities
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Short Introduction to Stability Theory of Deterministic Functional Differential Equations
  • Stability of Linear Scalar Equations
  • Stability of Linear Systems of Two Equations
  • Stability of Systems with Nonlinearities
  • Matrix Riccati Equations in Stability of Linear Stochastic Differential Equations with Delays
  • Stochastic Systems with Markovian Switching
  • Stabilization of the Controlled Inverted Pendulum by Control with Delay
  • Stability of Equilibrium Points of Nicholson’s Blowflies Equation with Stochastic Perturbations
  • Stability of Positive Equilibrium Point of Nonlinear System of Type of Predator-Prey with Aftereffect and Stochastic Perturbations
  • Stability of SIR Epidemic Model Equilibrium Points
  • Stability of Some Social Mathematical Models with Delay by Stochastic Perturbations

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