- ▪B. Jakubczyk, E.D. Sontag, "The effect of sampling on feedback linearization", In Proc.\ IEEE Conf.\ Decision and Control, Los Angeles, Dec.1987, pp. 1374–1379, 1987.
- ▪E.D. Sontag, "Controllability and linearized regulation", IEEE Trans. Automat. Control, vol. 32, no. 10, pp. 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.
- ▪E.D. Sontag, "Equilinearization: A simplified derivation and experimental results", In Proc.\ Conf.\ Info.\ Sciences and Systems, Johns Hopkins University Press, pp. 490–495, 1987.
- ▪E.D. Sontag, "A remark on bilinear systems and moduli spaces of instantons", Systems Control Lett., vol. 9, no. 5, pp. 361–367, 1987. doipdf
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.
- ▪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, pp. 363–1367, 1987.
- ▪E.D. Sontag, "Reachability, observability, and realization of a class of discrete-time nonlinear systems", In Encycl.\ of Systems and Control, pp. 3288–3293, 1987.
- ▪E.D. Sontag, H.J. Sussmann, "Optimization algorithms for image restoration and segmentation", Rutgers Center for Computer Aids for Industrial Productivity, 34, 1987.
- ▪E.D. Sontag, "Review of Multidimensional Systems Theory", Linear Alg.\ and Applications, vol. 87, pp. 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.