Controllability of Nonlinear Systems in Banach Spaces: A Survey

By Krishnan Balachandran, Jerald P. Dauer. Journal of Optimization Theory and Applications, 2002

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Approximate controllability of differential inclusions in Hilbert spaces (2012, methodology): “For later survey on the controllability of nonlinear systems using fixed point theorems, including nonlinear delay systems, see Balachandran and Dauer [5].”
Existence and controllability results for nondensely defined impulsive semilinear functional differential inclusions (2009, result): “[14] and in the papers of Balachandran and Dauer [11], Benchohra et al.”
Controllability of semilinear stochastic systems in Hilbert spaces (2003, background): “The controllability of nonlinear deterministic systems in finite dimensional space been extensively studied by several authors, see [3,10] and references therein.”
Controllability of Nonlocal Fractional Differential Systems of Order α ∈ (1,2] In Banach Spaces (2013, background): “Controllability of infinite-dimensional integer order differential systems was studied by many authors, see the survey paper [1] and the references therein.”
Approximate Controllability for Integrodifferential Equations with Multiple Delays (2009, background): “Balachandran and Dauer [1] summarized many results of exact controllability for different control systems in Banach spaces.”