A tutorial on the geometric analysis of linear time-invariant implicit systems

FL Lewis - Automatica, 1992 - Elsevier
A background of recent work in nonregular and regular implicit systems of the form E x ̇=
Ax+ Bu is provided. Then, the output-nulling, unknown-input and composite subspaces are …

Kalman filtering and Riccati equations for descriptor systems

R Nikoukhah, AS Willsky… - 29th IEEE Conference on …, 1990 - ieeexplore.ieee.org
The theory of Kalman filtering is extended to the case of systems with descriptor dynamics.
Explicit expressions are obtained for the descriptor Kalman filter allowing for the possible …

Some circuits and systems applications of semistate theory

RW Newcomb, B Dziurla - Circuits, Systems and Signal Processing, 1989 - Springer
Some circuits and systems applications of semistate theory Page 1 CIRCUITS SYSTEMS
SIGNAL PROCESS VOL. 8, NO. 3, 1989 SOME CIRCUITS AND SYSTEMS APPLICATIONS …

[PDF][PDF] On the analysis of discrete linear time-invariant singular systems

RLLANBG MERTZIOS - IEEE Transactions on Automatic Control, 1990 - researchgate.net
The discrete singular equation over an interval can represent a two-point boundary-value
problem or it can be considered as a dynamical relation developing forward in time. Here …

Solution and linear estimation of 2-D nearest-neighbor models

BC Levy, MB Adams, AS Willsky - Proceedings of the IEEE, 1990 - ieeexplore.ieee.org
The solution and linear estimation of 2-D nearest-neighbor models (NNMs) are considered.
The class of problems that can be described by NNMs is quite large, as models of this type …

The generalized Cayley-Hamilton theorem for standard pencils

FR Chang, HC Chen - Systems & control letters, 1992 - Elsevier
Abstract The Cayley-Hamilton theorem is extended from the case of one matrix to that of two
matrices. The developed theorem is suitable for the standard form pencil sE− A. Let Δ (s) …

Exact solution of corner-modified banded block-Toeplitz eigensystems

E Cobanera, A Alase, G Ortiz… - Journal of Physics A …, 2017 - iopscience.iop.org
Motivated by the challenge of seeking a rigorous foundation for the bulk-boundary
correspondence for free fermions, we introduce an algorithm for determining exactly the …

Extended message passing algorithm for inference in loopy Gaussian graphical models

KH Plarre, PR Kumar - Ad Hoc Networks, 2004 - Elsevier
We consider message passing for probabilistic inference in undirected Gaussian graphical
models. We show that for singly connected graphs, message passing yields an algorithm …

Revisiting the LQR Problem of Singular Systems

K Nosrati, J Belikov, A Tepljakov… - IEEE/CAA Journal of …, 2024 - ieeexplore.ieee.org
In the development of linear quadratic regulator (LQR) algorithms, the Riccati equation
approach offers two important characteristics—it is recursive and readily meets the existence …

A spectral characterization of the behavior of discrete time AR-representations over a finite time interval

SN Antoniou, AIG Vardulakis… - 1997 European …, 1997 - ieeexplore.ieee.org
In this paper we investigate the behavior of the discrete time AR (Auto Regressive)
representations over a finite time interval, in terms of the finite and infinite spectral structure …