Riccati equations and normalized coprime factorizations for strongly stabilizable infinite-dimensional systems |
| |
Authors: | Ruth F Curtain Hans Zwart |
| |
Affiliation: | aDepartment of Mathematics, University of Groningen, P.O. Box 800, 9700 AV Groningen, Netherlands;bFaculty of Applied Mathematics, University of Twente, P.O. Box 217. 7500 AE Enschede, Netherlands |
| |
Abstract: | The first part of the paper concerns the existence of strongly stabilizing solutions to the standard algebraic Riccati equation for a class of infinite-dimensional systems of the form Σ(A,B,S−1/2B*,D), where A is dissipative and all the other operators are bounded. These systems are not exponentially stabilizable and so the standard theory is not applicable. The second part uses the Riccati equation results to give formulas for normalized coprime factorizations over H∞ for positive real transfer functions of the form D+S−1/2B*(author−A)−1,B. |
| |
Keywords: | Normalized coprime factorizations Strong stability Positive real Dissipative Riccati equations Infinite-dimensional systems Colocated systems |
本文献已被 ScienceDirect 等数据库收录! |
|