7 papers · 1 filter
On analytic interpolation with non-classical constraints for solving problems in robust control
Axel Ringh, Johan Karlsson, Anders Lindquist
In this work we consider robust stabilization of uncertain dynamical systems and show that this can be achieved by solving a non-classically constrained analytic interpolation prob…
On a Fejer-Riesz factorization of generalized trigonometric polynomials
Tryphon T. Georgiou, Anders Lindquist
Function theory on the unit disc proved key to a range of problems in statistics, probability theory, signal processing literature, and applications, and in this, a special place i…
Multivariable analytic interpolation with complexity constraints: A modified Riccati approach
Yufang Cui, Anders Lindquist
Analytic interpolation problems with rationality and derivative constraints occur in many applications in systems and control. In this paper we present a new method for the multiva…
A modified Riccati approach to analytic interpolation with applications to system identification and robust control
Yufang Cui, Anders Lindquist
This paper provides a new method to solve analytic interpolation problems with rationality and derivative constraints, occurring in many applications to system and control. It is b…
Lower bounds on the maximum delay margin by analytic interpolation
Axel Ringh, Johan Karlsson, Anders Lindquist
We study the delay margin problem in the context of recent works by T. Qi, J. Zhu, and J. Chen, where a sufficient condition for the maximal delay margin is formulated in terms of…
Partial Realization Theory and System Identification Redux
Anders Lindquist
Some twenty years ago we introduced a nonstandard matrix Riccati equation to solve the partial stochastic realization problem. In this paper we provide a new derivation of this equ…