John S. Baras


On the Controllability of Bilinear Systems with Delay

Luther Pearson Hampton III

Masters Dissertation, Year: 1975, Advisor: John S. Baras

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In this thesis we investigate systems of the type dx/dt = { A + sum( u_i (t) B_i } x (t) + Cx ( t - tau ) where x(t) Rn, u_i = 1, ...p are scalar functions, measurable and bounded on finite intervals, and A, B_i, C, = 1...p are nxn matrices. In particular we devise criteria for local accessibility, controllability of a more general nonlinear systems with delays and a "Bang-Bang" theory for these systems. These results generalize those existing for bilinear systems without delays and for linear delay differential systems.

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