An observation on the positive real Lemma

Journal of Mathematical Analysis and Applications

Volumn 255, Issue 2, 2001, Pages 480-490

  Pandolfi, Luciano ^a  

^a POLITECNICO DI TORINO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035869880     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.2000.7241     Document Type: Article

References (9)

1. Anderson B. D. O., Vongpanitlered S. Network Analysis and Synthesis: A Modern Systems Theory Approach. 1973;Prentice Hall, Englewood Cliffs.
2. Balakrishnan A. V. On a generalization of the Kalman-Yakubovich Lemma. Appl. Math. Optim. 31:1995;177-187.
3. Churilov A. N. On the solvability of matrix inequalities. Mat. Zametki. 36:1984;725-732.
4. Kalman R. E. Lyapunov functions for the problem of Lur'e in automatic control. Proc. Nat. Acad. Sci. U.S.A. 49:1963;201-205.
5. Nudel'man A. A., Schwartzman N. A. On the existence of the solutions to certain operatorial inequalities. Sibirsk. Mat. Zh. 16:1975;562-571.
6. Popov V. M. Absolute stability of nonlinear systems of automatic control. Avtomat. i Telemekh. 22:1961;961-979.
7. Rantzer A. On the Kalman-Yakubovich-Popov lemma. Systems Control Lett. 28:1996;7-10.
8. Yakubovich V. A. The frequency theorem in control theory. Siberian J. Math. 14:1973;384-419.
9. Youla D. C. On the factorization of rational matrices. IRE Trans. Inform. Theory. IT-7:1961;172-189.