期刊
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
卷 62, 期 8, 页码 4187-4193出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2017.2682221
关键词
Finsler's lemma; linear matrix inequality
资金
- Brazilian agency CNPq
- Brazilian agency CAPES
Finsler's lemma is a classic mathematical result with applications in control and optimization. When the lemma is applied to parameter-dependent LMIs, as such those that arise from problems of robust stability, the extra variables introduced by this lemma also become dependent on this parameter. This technical note presents some sufficient conditions which ensure, without losing generality, that these extra variables can assume a simple functional dependence on the parameters as continuity or even independence. The results allow avoiding an unnecessary use of a more functionally complicated parameter-dependent variable that increases the search computational burden without reducing the conservatism of the solution.
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