We deal with the problem of small time local attainability (STLA) for nonlinear finite-dimensional time-continuous control systems. More precisely, given a nonlinear system x˙ (t) = f(t, x(t), u(t)), u(t) ∈ U, possibly subjected to state constraints x(t) ∈ Ω and a closed set S, our aim is to provide sufficient conditions to steer to S every point of a suitable neighborhood of S along admissible trajectories of the system, respecting the constraints, and giving also an upper estimate of the minimum time needed for each point near S to reach S.

Sufficient Conditions for Small Time Local Attainability for a Class of Control Systems

MARIGONDA, ANTONIO;
2015-01-01

Abstract

We deal with the problem of small time local attainability (STLA) for nonlinear finite-dimensional time-continuous control systems. More precisely, given a nonlinear system x˙ (t) = f(t, x(t), u(t)), u(t) ∈ U, possibly subjected to state constraints x(t) ∈ Ω and a closed set S, our aim is to provide sufficient conditions to steer to S every point of a suitable neighborhood of S along admissible trajectories of the system, respecting the constraints, and giving also an upper estimate of the minimum time needed for each point near S to reach S.
2015
978-3-319-26519-3
Geometric control theory, Smalltime local attainability, State constraints
File in questo prodotto:
File Dimensione Formato  
MARIGONDA-LSSC2015.pdf

accesso aperto

Tipologia: Documento in Post-print
Licenza: Creative commons
Dimensione 298.9 kB
Formato Adobe PDF
298.9 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11562/933337
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 2
  • ???jsp.display-item.citation.isi??? 1
social impact