Table of contents:
Semimartingales with Spatial Parameters and Stochastic Integrals; Stochastic Differential Equations; Stochastic Differential Delay Equations; Exponential Stability of Stochastic Differential Equations; Almost Sure Exponential Stability of Stochastic Differential Delay Equations; Moment Exponential Stability of Stochastic Differential Delay Equations; Exponential Stability of Stochastic Differential Equations with Small Time Lags; Exponential Stability of Large-Scale Stochastic
This work presents a systematic study of current developments in stochastic differential delay equations driven by nonlinear integrators, detailing various exponential stabilities for stochastic differential equations and large-scale systems. It illustrates the practical use of stochastic stabilization, stochastic destabilization, stochastic flows, and stochastic oscillators in numerous real-world situations.
Semimartingales with Spatial Parameters and Stochastic Integrals; Stochastic Differential Equations; Stochastic Differential Delay Equations; Exponential Stability of Stochastic Differential Equations; Almost Sure Exponential Stability of Stochastic Differential Delay Equations; Moment Exponential Stability of Stochastic Differential Delay Equations; Exponential Stability of Stochastic Differential Equations with Small Time Lags; Exponential Stability of Large-Scale Stochastic
This work presents a systematic study of current developments in stochastic differential delay equations driven by nonlinear integrators, detailing various exponential stabilities for stochastic differential equations and large-scale systems. It illustrates the practical use of stochastic stabilization, stochastic destabilization, stochastic flows, and stochastic oscillators in numerous real-world situations.