Solvability conditions for the positive real lemma equations in the discrete time
MetadataShow full item record
© The Institution of Engineering and Technology 2017. Passivity theory and the positive real lemma have been recognised as two of the cornerstones of modern systems and control theory. As digital control is pervasive in virtually all control applications, developing a general theory on the discretetime positive real lemma appears to be an important issue. While for minimal realisations the relations between passivity, positive-realness and existence of solutions of the positive real lemma equations is very well understood, it seems fair to say that this is not the case in the discrete-time case, especially when the realisation is non-minimal and no conditions are assumed on left-and/or right-invertibility of the transfer function. The purpose of this study is to present a necessary and sufficient condition for existence of solutions of the positive real equations under the only assumption that the state matrix A is asymptotically stable.
Showing items related by title, author, creator and subject.
Zhang, G.; Wang, S.; Liu, Wan-quan; Zuo, Z. (2009)This paper deals with the problem of H∞ norm computation for general symmetric systems and descriptor symmetric systems. The computation of H∞ norm for state-space symmetric systems is extended to descriptor symmetric ...
Biedermann, Britta; Nickels, L. (2008)This paper compares two theoretical positions regarding the mental representation of homophones: first, that homophones have one phonological word form but two grammatical representations (lemmas, e.g., Levelt et al., ...
Hassan, AFM Kamrul (2010)This thesis examines the relationship between population structure and the real exchange rate in 23 OECD countries over the period 1980–2006. The motivation for this research stems mainly from the Life-Cycle Hypothesis ...