On the Kalman-Yakubovich-Popov Lemma for Positive Systems

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Sammanfattning

An extended Kalman-Yakubovich-Popov (KYP) Lemma for positive systems is derived. The main difference compared to earlier versions is that non-strict inequalities are treated. Matrix assumptions are also less restrictive. Moreover, a new equivalence is introduced in terms of linear programming rather than semi-definite programming. As a complement to the KYP lemma, it is also proved that a symmetric Metzler matrix with m non-zero entries above the diagonal is negative semi-definite if and only if it can be written as a sum of m negative semi-definite matrices, each of which has only four non-zero entries. This is useful in the context large-scale optimization.
Originalspråkengelska
Sidor (från-till)1346-1349
TidskriftIEEE Transactions on Automatic Control
Volym61
Nummer5
DOI
StatusPublished - 2016

Ämnesklassifikation (UKÄ)

  • Reglerteknik

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  • LCCC

    Holmqvist, A. (Forskare), Andersson, N. (Forskare), Cervin, A. (Forskare), Mannesson, A. (Forskare), Gattami, A. (Forskare), Ghulchak, A. (Forskare), Papadopoulos, A. V. (Forskare), Rantzer, A. (Forskare), Robertsson, A. (Forskare), Sootla, A. (Forskare), THEORIN, A. (Forskare), Bernhardsson, B. (Forskare), Olofsson, B. (Forskare), Wittenmark, B. (Forskare), Grussler, C. (Forskare), Johnsson, C. (Forskare), MADJIDIAN, D. (Forskare), Johannesson, E. (Forskare), Magnusson, F. (Forskare), Ståhl, F. (Forskare), Como, G. (Forskare), Chasparis, G. (Forskare), Turesson, G. (Forskare), Dressler, I. (Forskare), Åkesson, J. (Forskare), Cho, J. H. (Forskare), Årzén, K.-E. (Forskare), Åström, K. J. (Forskare), Sou, K. C. (Forskare), Mårtensson, K. (Forskare), Berntorp, K. (Forskare), Soltesz, K. (Forskare), Lessard, L. (Forskare), Hast, M. (Forskare), Rönn, M. (Forskare), Ansbjerg Kjær, M. (Forskare), Maggio, M. (Forskare), Kristalny, M. (Forskare), Garpinger, O. (Forskare), From, P. J. (Forskare), Larsson, P.-O. (Forskare), Giselsson, P. (Forskare), Johansson, R. (Forskare), Hägglund, T. (Forskare), Vladimerou, V. (Forskare), Romero Segovia, V. (Forskare), Aurelius, A. (Forskare), Cedersjö, G. (Forskare), Bür, K. (Forskare), Dellkrantz, M. (Forskare), Du, M. (Forskare), Amani, P. (Forskare), Larsson, R. (Forskare), Tärneberg, W. (Forskarstuderande), Li, Z. (Forskare), Yin, L. (Forskare), Tufvesson, F. (Forskare), Höst, S. (Forskare), Nilsson, B. (Forskare), Stenström, S. (Forskare), Andersson, J. A. (Forskare), Diehl, S. (Forskare), Dürango, J. (Forskare), Ghazaei Ardakani, M. (Forskare), Forsberg, P.-O. (Forskare), Bengtsson, F. (Forskare), Jörntell, H. (Forskare), Arévalo, C. (Forskare), Führer, C. (Forskare), Andersson, C. (Forskare), Mohammadi, F. (Forskare), Ödling, P. (Forskare), Andersson, M. (Forskare), Kihl, M. (Forskare) & Tunestål, P. (Forskare)

    2008/07/012018/06/30

    Projekt: Forskning

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