4 papers
Observability on the classes of non-nilpotent solvable three-dimensional Lie groups
Thiago Matheus Cavalheiro, Alexandre José Santana, Victor Ayala
In control theory, researchers need to understand a system's local and global behaviors in relation to its initial conditions. When discussing observability, the main focus is on t…
Observability of linear systems on the Heisenberg Lie group
Thiago Matheus Cavalheiro, Alexandre José Santana, Victor Ayala
In control theory, understanding the observability property of a system is crucial for effectively managing and controlling dynamical systems. This property empowers us to deduce t…
An accessibility condition for discrete-time linear systems on Lie groups
Thiago Matheus Cavalheiro, Alexandre José Santana, Eduardo Celso Viscovini
In this paper, we characterize the accessibility of discrete-time linear control systems on Lie groups. Using an exceptional notion of derivative, we construct a subalgebra $\mathf…
Controllability of discrete-time linear systems on solvable Lie groups
Thiago Cavalheiro, Alexandre Santana, João Cossich +1
The objective of this paper is to study the controllability of discrete-time linear control systems in solvable Lie groups. In the special case of nilpotent Lie groups, a necessary…