Lyapunov Functionals and Stability of Stochastic Functional Differential Equations - Shaikhet, Leonid; SpringerLink (Online service) (Cham : Springer International Publishing : Imprint: Springer, 2013)
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.
Keywords: Control engineering; Difference equations; Functional equations; Statistical physics; Dynamical systems; Calculus of variations; Probabilities; Vibration; Dynamics; Control and Systems Theory; Difference and Functional Equations; Complex Systems; Calculus of Variations and Optimal Control; Optimization; Probability Theory and Stochastic Processes; Vibration, Dynamical Systems, Control