In this paper we establish some useful properties of three Riccati equations appearing in the standard Hโ-control problems for continuous and discrete-time time-varying systems. We then give necessary and su cient conditions for the existence of a suboptimal controller by three conditions involving
Toward time-varying balanced realization via Riccati equations
โ Scribed by J. Imae; J. E. Perkins; J. B. Moore
- Publisher
- Springer
- Year
- 1992
- Tongue
- English
- Weight
- 577 KB
- Volume
- 5
- Category
- Article
- ISSN
- 0932-4194
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๐ SIMILAR VOLUMES
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Necessary and sufficient conditions for the existence of the stabilizing solution to the time-varying discrete Riccati equation are derived in terms of the so-called Ben Artzi Gohberg dichotomy. It is shown that the problem of such existence conditions is strongly related to that of unique solvabili