Approximate Controllability of Second-Order Semilinear Control System

Approximate Controllability of Second-Order Semilinear Control System

This paper deals with the approximate controllability of second-order semilinear control system in Hilbert spaces under the assumption that the corresponding linear system is approximately controllable. The control function for this system is suitably constructed, and the sufficient conditions for t...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Circuits, systems, and signal processing systems, and signal processing, 2016-09, Vol.35 (9), p.3339-3354
Hauptverfasser: Shukla, Anurag, Sukavanam, N., Pandey, D. N., Arora, Urvashi
Format: Artikel
Sprache:eng
Schlagworte:
Approximation
Circuits
Circuits and Systems
Control systems
Controllability
Electrical Engineering
Electronics and Microelectronics
Engineering
Hilbert space
Instrumentation
Integrals
Linear systems
Nonlinearity
Short Paper
Signal,Image and Speech Processing
Stability
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:This paper deals with the approximate controllability of second-order semilinear control system in Hilbert spaces under the assumption that the corresponding linear system is approximately controllable. The control function for this system is suitably constructed, and the sufficient conditions for the approximate controllability of the proposed problem in Hilbert spaces are established. The results are obtained when the nonlinearity satisfying the monotone condition and integral contractor condition. Finally, an example is provided to illustrate the application of the obtained results.
ISSN:0278-081X
1531-5878
DOI:10.1007/s00034-015-0191-5