Generalized sensitivity analysis of ergodic stochastic systems
โ Scribed by Joseph Kreimer
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 818 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0378-4754
No coin nor oath required. For personal study only.
โฆ Synopsis
The tools for sensitivity analysis of stochastic systems whose behavior is described by ergodic stationary processes are presented. Three kinds of generalized estimates for performance sensitivities of these systems are introduced.
These estimates, based on a use of time averages, are given in general operator form. Their convergence conditions and rate of convergence are obtained. It is shown that perturbation analysis estimates are generally preferable to crude Monte Carlo estimates.
'[L(u+ Au, 5, t) -+, 5, t>] dt, 'L(u + Au, &, t) -L(u, t2, t) dt.
๐ SIMILAR VOLUMES
The concept of stochastic sensitivity in linear and a class of non-linear continuous stochastic dynamical systems is considered in this paper. New definitions of output sensitivity measures are introduced. Detailed applications for linear systems with stochastic coefficients under noise excitation a