1. Robust stability properties of the υ-gap metric for time-varying systems.
- Author
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Sei Zhen Khong, Cantoni, Michael, and Jonsson, Ulf T.
- Abstract
The stability of uncertain feedback interconnections of causal time-varying linear systems is studied in terms of a recently established generalisation of the υ-gap metric. In particular, a number of robustness results from the well-known linear time-invariant theory are extended. The time-varying generalisations include: sufficient conditions for robust stability; a bound on robust performance; and two-sided bounds on the induced norm of the variation in a closed-loop mapping as an open-loop component of the feedback interconnection is perturbed. Underlying assumptions are verified for causal systems that exhibit linear periodically time-varying behaviour. This includes a class of sampled-data systems as a special case. Within the periodic context considered, it can be shown that a robust stability condition is also necessary. [ABSTRACT FROM PUBLISHER]
- Published
- 2011
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