Exponential stability of stochastic differential equations

Author(s)

Bibliographic Information

Exponential stability of stochastic differential equations

Xuerong Mao

(Monographs and textbooks in pure and applied mathematics, 182)

M. Dekker, c1994

Available at  / 48 libraries

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Bibliogrphy: p. 295-304

Includes index

Description and Table of Contents

Description

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.

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 Differential Delay Systems.

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