Skip to Main content Skip to Navigation
Journal articles

Simultaneous state and input reachability for linear time invariant systems

Abstract : In this paper, we give an explicit solution to the behavioral reachability problem for linear time invariant systems, which amounts to finding an explicit control law that reaches a given final input-state pair (u1, x 1) in a given finite time t1. We first tackle the case of state space realizations, and we then extend the obtained results to the case of implicit realizations. For this, we use the geometric approach and some results of the viability theory. Some complements are given about the existing relationships between reachability and pole placement, as well as some notions of unicity and existence of solution.
Document type :
Journal articles
Complete list of metadatas

https://hal.archives-ouvertes.fr/hal-00857269
Contributor : Guy Lebret <>
Submitted on : Tuesday, September 3, 2013 - 11:56:22 AM
Last modification on : Friday, December 13, 2019 - 11:10:12 AM
Long-term archiving on: : Thursday, April 6, 2017 - 2:43:35 PM

File

Reach_AutV58b.pdf
Files produced by the author(s)

Identifiers

Collections

Citation

Moisés Bonilla, Guy Lebret, Jean-Jacques Loiseau, Michel Malabre. Simultaneous state and input reachability for linear time invariant systems. Linear Algebra and its Applications, Elsevier, 2013, 439 (5), pp.1415-1440. ⟨10.1016/j.laa.2013.04.026⟩. ⟨hal-00857269⟩

Share

Metrics

Record views

499

Files downloads

410