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Controllability of Nonlinear Systems in Banach Spaces: A Survey

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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.

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Authors and Affiliations

  1. Bharathiar University, Coimbatore, India

    K. Balachandran (Professor of Mathematics)

  2. University of Tennessee at Chattanooga, Chattanooga, Tennessee

    J.P. Dauer (Professor of Mathematics)

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  1. K. Balachandran
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  2. J.P. Dauer
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Balachandran, K., Dauer, J. Controllability of Nonlinear Systems in Banach Spaces: A Survey. Journal of Optimization Theory and Applications 115, 7–28 (2002). https://doi.org/10.1023/A:1019668728098

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