On the Kalman-Yakubovich-Popov Lemma for Stabilizable Systems

Summary, in English

The Kalman-Yakubovich-Popov (KYP) lemma has been a cornerstone in system theory and network analysis and synthesis. It relates an analytic property of a square transfer matrix in the frequency domain to a set of algebraic equations involving parameters of a minimal realization in time domain. This note proves that the KYP lemma is also valid for realizations which are stabilizable and observable

• Författare: J. Collado; R. Lozano; Rolf Johansson
• Avdelning/ar: Institutionen för reglerteknik
• Publiceringsår: 2001
• Språk: Engelska
• Sidor: 1089-1093
• Publikation/Tidskrift/Serie: IEEE Transactions on Automatic Control
• Volym: 46
• Issue: 7
• Fulltext: - 141 kB; Download statistics
• Länkar: http://dx.doi.org/10.1109/9.935061
• Dokumenttyp: Artikel i tidskrift
• Förlag: IEEE - Institute of Electrical and Electronics Engineers Inc.
• Ämne: Control Engineering
• Nyckelord: transfer function matrices; time-domain analysis; system theory; stability; network analysis; graph theory; frequency-domain analysis; Popov criterion; circuit stability
• Status: Published
• Projekt: Nonlinear and Adaptive Control (NACO2) Network; LU Robotics Laboratory
• ISBN/ISSN/Övrigt: ISSN: 0018-9286