Controllability of stochastic semilinear functional differential equations in Hilbert spaces
By Jerald P. Dauer, Nazim Idrisoglu Mahmudov. 2004
128 citations recorded by the source corpus.
In this paper approximate and exact controllability for semilinear stochastic functional differential equations in Hilbert spaces is studied. Sufficient conditions are established for each of these types of controllability. The results are obtained by using the Banach fixed point theorem. Applications to stochastic heat equation are given.
Subfields: Applied Mathematics, Computational Theory and Mathematics, Control and Systems Engineering
View Paper: https://www.semanticscholar.org/paper/fe29a938afbbd0af1910341ab9ee490c8bb618ed
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In Applied Mathematics
- Nazim Idrisoglu Mahmudov
- Rathinasamy Sakthivel
- J. J. Nieto
- Lamia Bousmaha
- Toufik Guendouzi
- Mark A. McKibben
- Jerzy Klamka
- V. Vijayakumar
In Computational Theory and Mathematics
- Rathinasamy Sakthivel
- J. J. Nieto
- Lamia Bousmaha
- Toufik Guendouzi
- Nazim Idrisoglu Mahmudov
- Jerzy Klamka
- Zhichun Yang
- Daoyi Xu
In Control and Systems Engineering
- Rathinasamy Sakthivel
- Nazim Idrisoglu Mahmudov
- J. J. Nieto
- Lamia Bousmaha
- Toufik Guendouzi
- Mark A. McKibben
- Jerzy Klamka
- V. Vijayakumar
Citations in the corpus
- Approximate Controllability of Fractional Neutral Stochastic Functional Integro-Differential Inclusions with Infinite Delay (2014, background): “Recently, controllability of stochastic dynamical control systems in infinite dimensional spaces is well-developed using different kind of approaches (see [4,9,17,23,30,31] and the references therein).”
- On backward stochastic evolution equations in Hilbert spaces and optimal control (2007, background): “Maximum principles for stochastic control systems in infinite dimensional spaces were studied by Bensoussan [1], [2], Mahmudov [4], Hu and Peng [8].”
- APPROXIMATE CONTROLLABILITY OF NONLINEAR DETERMINISTIC AND STOCHASTIC SYSTEMS WITH UNBOUNDED DELAY (2010, background): “In particular, recently approximate controllability results for various types of first order stochastic nonlinear equations have been established [10, 12, 30].”