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Please use this identifier to cite or link to this item: http://repository.iitr.ac.in/handle/123456789/9788
Title: Approximate Controllability of Second-Order Semilinear Control System
Authors: Shukla A.
Sukavanam, Nagarajan
Pandey, Dwijendra N.
Arora U.
Published in: Circuits, Systems, and Signal Processing
Abstract: 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. © 2015, Springer Science+Business Media New York.
Citation: Circuits, Systems, and Signal Processing (2016), 35(9): 3339-3354
URI: https://doi.org/10.1007/s00034-015-0191-5
http://repository.iitr.ac.in/handle/123456789/9788
Issue Date: 2016
Publisher: Birkhauser Boston
Keywords: Approximate controllability
Integral contractor condition
Monotone condition
Semilinear systems
ISSN: 0278081X
Author Scopus IDs: 56136038100
12804420600
7103025354
9637637300
Author Affiliations: Shukla, A., Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, Uttarakhand 247667, India
Sukavanam, N., Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, Uttarakhand 247667, India
Pandey, D.N., Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, Uttarakhand 247667, India
Arora, U., Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, Uttarakhand 247667, India
Corresponding Author: Shukla, A.; Department of Mathematics, Indian Institute of Technology RoorkeeIndia; email: anuragshukla259@gmail.com
Appears in Collections:Journal Publications [MA]

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