@inbook{9e4c3e5937034407abd598662fac51c5,

title = "Riccati Equations, Network Theory and Brune Synthesis: Old Solutions for Contemporary Problems",

abstract = "Riccati equations have a natural connection with network theory. Classical passive network synthesis procedures, employing often frequency domain spectral factorization, can be mirrored by state variable procedures which rely on knowledge of a steady state Riccati equation solution. In contrast to many occurrences of steady state Riccati equations, it is possible (especially in network applications) to encounter equations which have strong, but not stabilizing solutions. Such equations constitute a problem for much software. Classical network synthesis procedures actually dealt with a frequency domain version of this problem using tools such as the Brune synthesis. The Riccati equation equivalent involves a deflation technique which will be exposed.",

author = "Brian Anderson",

note = "Proc. Mathematical Theory of Networks and Systems (MTNS98) and Riccati Pilgrimage, Padua, Italy; Mathematical Theory of Networks and Systems Symposium (MTNS-98), MTNS-98 ; Conference date: 06-07-1998 Through 10-07-1998",

year = "1999",

doi = "10.1007/978-3-0348-8970-4_1",

language = "English",

isbn = "978-3-0348-9848-5",

series = "Progress in Systems and Control Theory",

publisher = "Birkh{\"a}user",

pages = "1--25",

editor = "Giorgio Picci and Gilliam, {David S.}",

booktitle = "Dynamical Systems, Control, Coding, Computer Vision",

}