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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