Characterizations for the induced norms of two types of systems are considered. It is first shown that the induced l norm of a discrete-time linear time-varying system may be characterized by the existence requirement on solutions to operator algebraic Riccati equations. A similar result is derived
Remarks on ‘equivalence of stability concepts for discrete time-varying systems’
✍ Scribed by Fabian Wirth
- Publisher
- John Wiley and Sons
- Year
- 1998
- Tongue
- English
- Weight
- 140 KB
- Volume
- 8
- Category
- Article
- ISSN
- 1049-8923
No coin nor oath required. For personal study only.
✦ Synopsis
In a recent article on stability of discrete inclusions the authors argue that the problem of determining stability of discrete inclusions given by convex sets of matrices with a finite number of extremal points is NP-hard. It is shown that the argument that has been employed is inconclusive and thus the problem is still open.
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