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By Antonio Ruberti, Alberto Isidori, Paolo D'Alessandro
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Extra resources for Theory of Bilinear Dynamical Systems: Course Held at the Department for Automation and Information July 1972
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W. R. Mohler and A. ), Academic Press, New York (1972), pp. 153 - 168. E. R. Mohler, Completely Controllable Bilinear Systems SIAM ]. on Control, 6 (1968), pp. 477 - 486. ]. L. Elliot and T. Goka, Controllability of Discrete Bilinear Systems with Bounded Control, IEEE Trans. on Automatic Control, 18 (1973), to appear. (8] P. d' Alessandro, Structural Properties Invariance and Insensitivity of Discrete- Time Bilinear Systems, Ricerche di Automatica, 3 (1972) pp. 158 - 169.
A. Desoer, "Linear System Theory", McGraw Hill, New York (1963). W. Brockett, System Theory on Group Manifold and Coset Spaces, SIAM J. on Control, 10 (1972), pp. 265 - 284. W. R. Mohler and A. ), Academic Press, New York (1972), pp. 153 - 168. E. R. Mohler, Completely Controllable Bilinear Systems SIAM ]. on Control, 6 (1968), pp. 477 - 486. ]. L. Elliot and T. Goka, Controllability of Discrete Bilinear Systems with Bounded Control, IEEE Trans. on Automatic Control, 18 (1973), to appear. (8] P.
Til, i = 1, ... 1) we might speak indifferendy of realization of the map f or of the family {Wi(tl, ••. • • . , t i )} i of qxpi symmetrical kernels of a Volterra series expansion to be realizable by JIleans of a constant bilinear dynamical system with finite-dimensional state space, is: a) that WI (tl) has a proper ra~ona1 Laplace transform b) that there exists three matrices F(t), G(t), H(t), respectively mxmp, mxp, qxmp 43 A realizability condition of functions having proper rational Laplace transform.