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...
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| Veröffentlicht in: | Circuits, systems, and signal processing systems, and signal processing, 2016-09, Vol.35 (9), p.3339-3354 |
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| container_title | Circuits, systems, and signal processing |
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| creator | Shukla, Anurag Sukavanam, N. Pandey, D. N. Arora, Urvashi |
| description | 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. |
| doi_str_mv | 10.1007/s00034-015-0191-5 |
| format | Article |
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N.</au><au>Arora, Urvashi</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Approximate Controllability of Second-Order Semilinear Control System</atitle><jtitle>Circuits, systems, and signal processing</jtitle><stitle>Circuits Syst Signal Process</stitle><date>2016-09-01</date><risdate>2016</risdate><volume>35</volume><issue>9</issue><spage>3339</spage><epage>3354</epage><pages>3339-3354</pages><issn>0278-081X</issn><eissn>1531-5878</eissn><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. 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| source | Springer Nature - Complete Springer Journals |
| subjects | 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 |
| title | Approximate Controllability of Second-Order Semilinear Control System |
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