# Optimal feedback control proportional to the system state can be found for non-causal descriptor systems

International Journal of Applied Mathematics and Computer Science (2002)

- Volume: 12, Issue: 4, page 591-593
- ISSN: 1641-876X

## Access Full Article

top## Abstract

top## How to cite

topKurina, Galina. "Optimal feedback control proportional to the system state can be found for non-causal descriptor systems." International Journal of Applied Mathematics and Computer Science 12.4 (2002): 591-593. <http://eudml.org/doc/207615>.

@article{Kurina2002,

abstract = {Optimal feedback control depending only on the system state is constructed for a control problem by the non-causal descriptor system for which optimal feedback control depending on state derivatives was considered in the paper (Meuller, 1998). To this end, a non-symmetric solution of the algebraic operator Riccati equation is used.},

author = {Kurina, Galina},

journal = {International Journal of Applied Mathematics and Computer Science},

keywords = {non-causal descriptor systems; optimal feedback control; optimal feedback; non-symmetric solution; algebraic Riccati equation},

language = {eng},

number = {4},

pages = {591-593},

title = {Optimal feedback control proportional to the system state can be found for non-causal descriptor systems},

url = {http://eudml.org/doc/207615},

volume = {12},

year = {2002},

}

TY - JOUR

AU - Kurina, Galina

TI - Optimal feedback control proportional to the system state can be found for non-causal descriptor systems

JO - International Journal of Applied Mathematics and Computer Science

PY - 2002

VL - 12

IS - 4

SP - 591

EP - 593

AB - Optimal feedback control depending only on the system state is constructed for a control problem by the non-causal descriptor system for which optimal feedback control depending on state derivatives was considered in the paper (Meuller, 1998). To this end, a non-symmetric solution of the algebraic operator Riccati equation is used.

LA - eng

KW - non-causal descriptor systems; optimal feedback control; optimal feedback; non-symmetric solution; algebraic Riccati equation

UR - http://eudml.org/doc/207615

ER -

## References

top- Kawamoto A., Takaba K. and Katayama T. (1998): On the generalized algebraic Riccati equation for continuous-time descriptor systems. - Proc. 13-th Int. Symp. Mathematical Theory of Networks and Systems, Padova, Italy, pp. 649-652. Zbl0931.93059
- Kostjukova O.I. (2000): Optimality criterion for a linear-quadratic optimal control problem by a descriptor system. - Differencial'nye Uravnenija, Vol. 36, No. 11, pp. 1475-1481 (in Russian).
- Kurina G.A. (1982): Design of feedback controlfor linear control systems non-solvable with respect to the derivative. - Unpublished paper, VINITI, No. 3619-82, Voronezh Forestry Institute (in Russian)).
- Kurina G.A. (1984): Feedback control for linear systems non-solvable with respect to the derivative. - Avtomatika i Telemekhanika, No. 6, pp. 37-41 (in Russian).
- Kurina G.A. (1992): Singular perturbations of control problems with state equation non-solvable with respect to the derivative. A survey. - Izvestija RAN. Tekhnicheskaya Kibernetika, No. 4, pp. 20-48 (in Russian).
- Kurina G.A. (1993): On regulating by a descriptor system in an infinite interval. - Izvestija RAN, Tekhnicheskaya Kibernetika, No. 6, pp. 33-38 (in Russian).
- Lewis F.L. (1986): A survey of linear singular systems. - Circ. Syst. Signal Process., Vol. 5, No. 1, pp. 3-36. Zbl0613.93029
- Mehrmann V. (1991): The Autonomous Linear Quadratic Control Problem. Berlin: Springer. Zbl0746.93001
- Muller P.C. (1998): Stability and optimal control of nonlinear descriptor systems: A survey. - Appl. Math. Comput. Sci., Vol. 8, No. 2, pp. 269-286. Zbl0910.93047

## Citations in EuDML Documents

top## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.