The problems of stability and optimal control for stochastic difference equations are receiving important attention now (see for example [1][2][3][4][5][6]). In this paper, the necessary optimality condition for nonlinear stochastic difference second kind Volterra equation are constructed. For stoch
Linear square optimal control problem for stochastic difference equations with unknown parameters
โ Scribed by R.P. Agarwal; L.E. Shaikhet
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 435 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0895-7177
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โฆ Synopsis
The problems of stability and optimal control for stochastic difference equations are receiving important attention now (see, for example, [l-3]). In this paper, the optimal control in final form is obtained for optimal control problem of stochastic linear difference equation with unknown parameters and square cost functional. For stochastic functional differential equations, analogous result are obtained in [4].
๐ SIMILAR VOLUMES
Some necessary and sufficient conditions are found for the existence of the optimal control for systems with a singular mean-square performance index. Optimal control is obtained by the use of pseudo-inverse. The asymptotic behavior of sub-optimal control is also studied.