Controllability of Nonlinear Systems in Banach Spaces: A Survey

K. Balachandran and J.P. Dauer
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K. Balachandran: Bharathiar University
J.P. Dauer: University of Tennessee at Chattanooga

Journal of Optimization Theory and Applications, 2002, vol. 115, issue 1, No 3, 7-28

Abstract: Abstract This paper presents a survey on research using fixed-point theorems and semigroup theory to study the controllability of nonlinear systems and functional integrodifferential systems in Banach spaces. Also discussed is the use of this technique in K-controllability and boundary controllability problems for nonlinear systems and integrodifferential systems in abstract spaces.

Keywords: Exact controllability; approximate controllability; K-controllability; boundary controllability; fixed-point theorems; semigroup theory (search for similar items in EconPapers)
Date: 2002
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Citations: View citations in EconPapers (14)

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DOI: 10.1023/A:1019668728098

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