On the Controllability of Bilinear Systems with Delay

On the Controllability of Bilinear Systems with Delay

Title : On the Controllability of Bilinear Systems with Delay
Authors :
Hampton, Luther P
Journal : M.S. Thesis

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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