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On the computation of the gap metric for LTV systems
- Source :
-
Systems & Control Letters . Nov2007, Vol. 56 Issue 11/12, p753-758. 6p. - Publication Year :
- 2007
-
Abstract
- Abstract: In this paper, we consider the robust stabilization problem for linear discrete time-varying (LTV) systems using the gap metric. In particular, we show that the time-varying (TV) directed gap reduces to an operator with a TV Hankel plus Toeplitz structure. Computation of the norm of such an operator can be carried out using an iterative scheme involving a TV Hankel operator defined on a space of Hilbert–Schmidt causal operators. The “infimization” in the TV directed gap formula is shown to be, in fact, a minimum by using duality theory. The latter holds as well in the time-invariant case. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 01676911
- Volume :
- 56
- Issue :
- 11/12
- Database :
- Academic Search Index
- Journal :
- Systems & Control Letters
- Publication Type :
- Academic Journal
- Accession number :
- 26334192
- Full Text :
- https://doi.org/10.1016/j.sysconle.2007.04.008