8 papers
Using covariance extension equation to solve the Nevanlinna-Pick interpolation with degree constraint
Cui Yufang
Nevanlinna-Pick interpolation problem has been widely studied in recent decades, however, the known algorithm is not simplistic and robust enough. This paper provide a new method t…
A general solution to the simultaneous stabilization problem by analytic interpolation
Yufang Cui, Anders Lindquist
In this paper, we tackle the significant challenge of simultaneous stabilization in control systems engineering, where the aim is to employ a single controller to ensure stability…
Multivariable simultaneous stabilization: A modified Riccati approach
Yufang Cui, Anders Lindquist
Simultaneous stabilization problem arises in various systems and control applications. This paper introduces a new approach to addressing this problem in the multivariable scenario…
Total positivity from a kind of lattice paths
Yu-Jie Cui, Bao-Xuan Zhu
Total positivity of matrices is deeply studied and plays an important role in various branches of mathematics. The main purpose of this paper is to study total positivity of a matr…
A parameterized solution to the simultaneous stabilization problem
Yufang Cui, Anders Lindquist
In a series of fundamental papers BK Ghosh reduced the simultaneous stabilization problem to a NevanlinnaPick interpolation problem. In this paper we generalize some of these resul…
The Covariance Extension Equation: A Riccati-type Approach to Analytic Interpolation
Yufang Cui, Anders Lindquist
Analytic interpolation problems with rationality and derivative constraints are ubiquitous in systems and control. This paper provides a new method for such problems, both in the s…
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…