Null controllability on Lie groups

Ayala, Víctor; Kizil, Eyüp

doi:10.4067/s0716-09172013000100005

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2014

2016

Publication Types

Select...

Article2

Relationship

Self Cite0

Independent2

Authors

Journals

Cited by 2 publications

(1 citation statement)

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Controllability of such systems, with unrestricted control functions, was studied in [3], [2] and [8] and null controllability in [1].…”

Section: Introductionmentioning

confidence: 99%

Controllability of Linear Systems on Solvable Lie Groups

Silva¹

2016

SIAM J. Control Optim.

View full text Add to dashboard Cite

Abstract. Linear systems on Lie groups are a natural generalization of linear system on Euclidian spaces. For such systems, this paper studies controllability by taking in consideration the eigenvalues of an associated derivation D. When the state space is a solvable connected Lie group, controllability of the system is guaranteed if the reachable set of the neutral element is open and the derivation D has only pure imaginary eigenvalues. For bounded systems on nilpotent Lie groups such conditions are also necessary.

show abstract

“…Controllability of such systems, with unrestricted control functions, was studied in [3], [2] and [8] and null controllability in [1].…”

Section: Introductionmentioning

confidence: 99%