Observability and Observers for Nonlinear Systems
SIAM Journal on Control and Optimization
Analysis of linear structured systems using a primal-dual algorithm
Systems & Control Letters
A geometric approach for structured systems: application to disturbance decoupling
Automatica (Journal of IFAC)
The Generic Number of Invariant Zeros of a Structured Linear System
SIAM Journal on Control and Optimization
Brief paper: State and input observability for structured linear systems: A graph-theoretic approach
Automatica (Journal of IFAC)
An O(v|v| c |E|) algoithm for finding maximum matching in general graphs
SFCS '80 Proceedings of the 21st Annual Symposium on Foundations of Computer Science
Paper: Observation of bilinear systems with application to biological control
Automatica (Journal of IFAC)
Survey Generic properties and control of linear structured systems: a survey
Automatica (Journal of IFAC)
| Hi-index | 22.14 |
In this paper, we study the property of generic uniform observability for structured bilinear systems. More precisely, to check whether or not a structured bilinear system is generically uniformly observable, we provide a group of necessary conditions and a second group of sufficient ones. These conditions are expressed in quite simple graphic-terms. On one hand, all the given conditions are easy to check because they deal with finding paths in a digraph. On the other hand, the proposed method is based on a graph-theoretic approach and assumes only a knowledge of the system's structure. This makes the suggested approach particularly well suited to study large scale systems or systems with unknown parameters, as may be the case during a conception stage.