Solvability of the discrete LQR-problem under minimal assumptions
Authors | |
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Year of publication | 2005 |
Type | Article in Proceedings |
Conference | Difference Equations and Discrete Dynamical Systems |
MU Faculty or unit | |
Citation | HILSCHER, Roman and Vera ZEIDAN. Solvability of the discrete LQR-problem under minimal assumptions. In Difference Equations and Discrete Dynamical Systems. London: World Scientific Publishing Co., 2005, p. 273-282. ISBN 981-256-520-5. |
Field | General mathematics |
Keywords | Discrete linear regulator; Discrete quadratic functional; Riccati matrix equation |
Description | The purpose of this paper is to provide a solution to the classical discrete linear-quadratic regulator problem under minimal assumptions. In particular, we do not assume the positive or nonnegative definiteness of the coefficients. Instead, a natural condition is imposed which is necessary for minimizing the involved discrete quadratic functional. The optimal solution is constructed from a generalized discrete Riccati equation and has a feedback form. |
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