Necessary and sufficient conditions for the existence of positive solutions to algebraic Riccati equations with indefinite quadratic term

Author:

Chen Shuping

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Control and Optimization

Reference8 articles.

1. Chen S (1990) The structure of solutions to the algebraic Riccati equations and the Positive Real Lemma. Chinese Ann Math 11A:154?163.

2. Doyle J et al. (1989) State-space solutions to standardH 2 andH ? control problems. IEEE Trans Automat Control AC34:831?847.

3. Mageirou EF (1976) Values and strategies for infinite time linear quadratic games. IEEE Trans Automat Control AC21:547?550.

4. Mitter SK, Shamma JS (1989) An elementary proof of anH?-optimal state feedback result. Preprint

5. Potter JE (1966) Matrix quadratic equations. SIAM J Appl Math 14:496?501

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