This is an extension of an earlier paper by the second author. In the previous work, an algorithm was derived for the moments of an homogeneous equation with noise similar to the white noise, but has small, finite correlafion time. In the present work this algorithm is extended for an inhomogeneous
On the Adjoint Equation of Stochastic Linear Systems with Small Correlation Times
โ Scribed by Menelaos Lambiris
- Publisher
- Elsevier Science
- Year
- 1980
- Tongue
- English
- Weight
- 355 KB
- Volume
- 310
- Category
- Article
- ISSN
- 0016-0032
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โฆ Synopsis
The statistical properties of a backward stochastic differential equation are derived, assuming the noise is similar to the white noise, but having small correlation times. The relation between the forward and backward systems is examined and given an application to the theory of maximum principle.
๐ SIMILAR VOLUMES
The practical stability of optimal stochastic control systems for processes having dead-times is considered. Previously obtained necessary conditions for practical stability of such systems are generalized using Pontryagin's theorem on the roots of two-variable polynomials. The conditions are expres