Matrix-valued Nevanlinna-Pick interpolation with complexity constraint: An optimization approach

A Blomqvist, A Lindquist… - IEEE Transactions on …, 2003 - ieeexplore.ieee.org
Over the last several years, a new theory of Nevanlinna-Pick interpolation with complexity
constraint has been developed for scalar interpolants. In this paper we generalize this theory …

Approximation of achievable robustness limit based on sensitivity inversion

N Cho, HI Lee - Journal of Guidance, Control, and Dynamics, 2024 - arc.aiaa.org
THE sensitivity function, defined as the closed-loop transfer function from the exogenous
input to the tracking error, is central to the multi-objective design and analysis of a feedback …

[BUCH][B] A convex optimization approach to generalized moment problems

CI Byrnes, A Lindquist - 2003 - Springer
In this paper we present a universal solution to the generalized moment problem, with a
nonclassical complexity constraint. We show that this solution can be obtained by …

Feedback sensitivity functions analysis of finite‐time stabilizing control system

K Zimenko, A Polyakov, D Efimov… - International journal of …, 2017 - Wiley Online Library
This paper presents feedback sensitivity functions analysis of implicit Lyapunov function‐
based control system in case of finite‐time stabilization problem. The Gang of Four is chosen …

A frequency-domain tuning method for a class of reset control systems

AA Dastjerdi, SH Hosseinnia - IEEE Access, 2021 - ieeexplore.ieee.org
Constant in gain Lead in phase (CgLp) compensators, which are a type of reset elements,
have shown high potential to overcome limitations of linear control systems. There are few …

The inverse problem of analytic interpolation with degree constraint and weight selection for control synthesis

J Karlsson, TT Georgiou… - IEEE Transactions on …, 2010 - ieeexplore.ieee.org
The minimizers of certain weighted entropy functionals are the solutions to an analytic
interpolation problem with a degree constraint, and all solutions to this interpolation problem …

Important moments in systems and control

CI Byrnes, A Lindquist - SIAM journal on control and optimization, 2008 - SIAM
The moment problem matured from its various special forms in the late 19th and early 20th
centuries to a general class of problems that continues to exert profound influence on the …

[PDF][PDF] Inverse nonlinear Fourier transforms via interpolation: The Ablowitz-Ladik case

S Wahls, HV Poor - … of International Symposium on Mathematical Theory …, 2014 - Citeseer
Nonlinear Fourier transforms arise when nonlinear evolution equations are solved with the
inverse scattering method. In this paper, the inverse nonlinear Fourier transform that arises …

Sensitivity sha** with degree constraint by nonlinear least-squares optimization

R Nagamune, A Blomqvist - Automatica, 2005 - Elsevier
This paper presents a new approach to sha** of the frequency response of the sensitivity
function. In this approach, a desired frequency response is assumed to be specified at a …

[BUCH][B] Topics in classical and quantum linear stochastic systems

HI Nurdin - 2007 - users.cecs.anu.edu.au
This thesis considers two topics in the area of linear stochastic systems. The first topic is the
construction of approximate finite dimensional linear time invariant (LTI) models for classical …