Based on various approaches, several different solutions to the smoothing problem have been given. The relationships between these solutions are not immediate, although they solve the same problem. Making use of a certain framework from scattering theory, we derive two families of solutions, with eq
A Dual Approach to a Linear Smoothing Problem
โ Scribed by P.N. Nikiforuk; M.M. Gupta; N. Minamide
- Publisher
- Elsevier Science
- Year
- 1979
- Tongue
- English
- Weight
- 731 KB
- Volume
- 308
- Category
- Article
- ISSN
- 0016-0032
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โฆ Synopsis
In this paper, the continuous-time linear Gaussian smoothing problem is investigated by utilizing a dual approach. It is shown that the smoothing problem is a dual of an optimal regulator with a jump condition on the trajectory. By solving the dual optimal control problem, basic results established earlier on this smoothing problem are derived -in a simpler way. Results are also obtained for the discrete-time linear smoothing Gaussian problem.
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