1. E.D. Sontag. Reachability, observability, and realization of a class of discrete-time nonlinear systems. In Encycl. of Systems and Control, pages 3288-3293. Pergamon Press, 1987. Keyword(s): observability.



2. E.D. Sontag. A remark on bilinear systems and moduli spaces of instantons. Systems Control Lett., 9(5):361-367, 1987. [PDF] [doi:http://dx.doi.org/10.1016/0167-6911(87)90064-8] Keyword(s): bilinear systems, moduli spaces, instantons. Abstract:

   Explicit equations are given for the moduli space of framed instantons as a quasi-affine variety, based on the representation theory of noncommutative power series, or equivalently, the minimal realization theory of bilinear systems.




3. E.D. Sontag. Controllability and linearized regulation. IEEE Trans. Automat. Control, 32(10):877-888, 1987. [PDF] Abstract:

   A nonlinear controllable plant, under mild technical conditions, admits a precompensator with the following property: along control trajectories joining pairs of states, the composite system (precompensator plus plant) is, up to first order, isomorphic to a parallel connection of integrators.




4. E.D. Sontag. Review of Multidimensional Systems Theory. Linear Alg. and Applications, 87:273-278, 1987. [PDF] Abstract:

   A book review which also provides a quick introduction to questions of stability and positivity of multivariable polynomials for 2D and spatially-distributed systems.

1. B. Jakubczyk and E.D. Sontag. The effect of sampling on feedback linearization. In Proc. IEEE Conf. Decision and Control, Los Angeles, Dec.1987, pages 1374-1379, 1987.



2. E.D. Sontag. An approach to the automatic design of first-order controllers along reference trajectories. In Proc. IEEE Conf. Decision and Control, Los Angeles, Dec.1987, pages 363-1367, 1987.



3. E.D. Sontag. Equilinearization: A simplified derivation and experimental results. In Proc. Conf. Info. Sciences and Systems, Johns Hopkins University Press, pages 490-495, 1987.

1. E.D. Sontag and H.J. Sussmann. Optimization algorithms for image restoration and segmentation. Technical report 34, Rutgers Center for Computer Aids for Industrial Productivity, 1987.

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