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- Title
Controllability of nonlinear fractional integrodifferential systems involving multiple delays in control.
- Authors
Haq, Abdul; Sukavanam, Nagarajan
- Abstract
This work studies the existence of solutions and approximate controllability of fractional integrodifferential systems with Riemann-Liouville derivatives and with multiple delays in control. We establish suitable assumptions to prove the existence of solutions. Controllability of the system is shown by assuming a range condition on control operators and Lipschitz condition on non-linear functions. We use the concepts of strongly continuous semigroup rather than resolvent operators. Finally, an example is give to illustrate the theory.
- Subjects
CONTROLLABILITY in systems engineering; RESOLVENTS (Mathematics); NONLINEAR functions
- Publication
International Journal of Optimization & Control: Theories & Applications, 2024, Vol 14, Issue 1, p1
- ISSN
2146-0957
- Publication type
Article
- DOI
10.11121/ijocta.1428