Abstract
Sufficient conditions for the local null controllability of non-linear functional differential systems with unbounded linear operators in Banach space are established. The results are obtained using the semigroup of linear operators, fractional powers of operators, and the Schauder fixed-point theorem. Applications to parabolic differential systems are given.
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Communicated by R. Conti
The work of the first and second authors was supported by CSIR, New Delhi, India.
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Balachandran, K., Balasubramaniam, P. & Dauer, J.P. Local null controllability of nonlinear functional differential systems in Banach space. J Optim Theory Appl 88, 61–75 (1996). https://doi.org/10.1007/BF02192022
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DOI: https://doi.org/10.1007/BF02192022