Matrix analysis
The row-by-row decoupling via state feedback: a polynomial approach
Automatica (Journal of IFAC)
Input-output triangular decoupling and data sensitivity
Automatica (Journal of IFAC)
Block Triangular Decoupling for Linear Systems over Principal Ideal Domains
SIAM Journal on Control and Optimization
Overlapping Block-Balanced Canonical Forms and Parametrizations: The Stable SISO Case
SIAM Journal on Control and Optimization
Linear System Theory and Design
Linear System Theory and Design
Solvability Conditions and Parameterization of All Solutions for the Triangular Decoupling Problem
SIAM Journal on Matrix Analysis and Applications
A Matrix Pencil Approach to the Row by Row Decoupling Problem for Descriptor Systems
SIAM Journal on Matrix Analysis and Applications
Brief paper: Some new results for system decoupling and pole assignment problems
Automatica (Journal of IFAC)
Brief paper: Some new results for system decoupling and pole assignment problems
Automatica (Journal of IFAC)
Some new properties of the right invertible system in control theory
Automatica (Journal of IFAC)
Pole assignment in the regular row-by-row decoupling problem
Automatica (Journal of IFAC)
| Hi-index | 0.01 |
In the literature, several canonical decompositions of a system $\{C,A,B\}$ have been derived for different applications. In this paper we propose a canonical decomposition of a right invertible system $\{C,A,B\}$. From this decomposition, we study the Smith form of the matrix pencil $P(s)$ to find out the finite zeros and infinite zeros of $P(s)$, the range of the ranks of $P(s)$ for $s\in\mathbb{C}$, and the controllability and the invariant quantities of the right invertible system. In a separate paper, we apply this canonical decomposition of the right invertible system $\{C,A,B\}$ to study the decoupling and pole assignment problems.