Some New Analytic and Computational Results for Operator Riccati Equations
- 1 July 1975
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Control
- Vol. 13 (4) , 817-826
- https://doi.org/10.1137/0313048
Abstract
The operator Riccati equation associated with a distributed parameter quadratic cost-linear dynamics control process is considered.Making use of ideas from transport theory, a derivation of a generalized version of the X-Y functions of radiative transfer is given, and it is seen that, under commonly occurring conditions, the new equations may be easier to numerically resolve than the original Riccati equation. In particular, the new equations express directly the optimal gain function. The analytic results are illustrated by a numerical example of heat regulation on a rod.Keywords
This publication has 6 references indexed in Scilit:
- Reduction of the Operator Riccati EquationPublished by Springer Nature ,1975
- Reduction of dimensionality for systems of linear two-point boundary value problems with constant coefficientsJournal of Mathematical Analysis and Applications, 1974
- Some new algorithms for recursive estimation in constant linear systemsIEEE Transactions on Information Theory, 1973
- Some Aspects of the Optimal Control of Distributed Parameter SystemsPublished by Society for Industrial & Applied Mathematics (SIAM) ,1972
- Reduction of the Riccati equation for distributed-parameter systemsElectronics Letters, 1971
- Optimal Control of Systems Governed by Partial Differential EquationsPublished by Springer Nature ,1971