- ▪R.T. Bumby, E.D. Sontag, H.J. Sussmann, W. Vasconcelos, "Remarks on the pole-shifting problem over rings", J. Pure Appl. Algebra, vol. 20, no. 2, pp. 113–127, 1981. pdf
Abstract
Problems that appear in trying to extend linear control results to systems over rings R have attracted considerable attention lately. This interest has been due mainly to applications-oriented motivations (in particular, dealing with delay-differential equations), and partly to a purely algebraic interest. Given a square n-matrix F and an n-row matrix G. pole-shifting problems consist in obtaining more or less arbitrary characteristic polynomials for F+GK, for suitable ("feedback") matrices K. A review of known facts is given, various partial results are proved, and the case n=2 is studied in some detail.
- ▪P.P. Khargonekar, E.D. Sontag, "On the relation between stable matrix fraction decompositions and regulable realizations of systems over rings", In Proc.\ IEEE Conf.Dec.\ and Control, San Diego, Dec.\ 1981, pp. 1006–1011, 1981.
- ▪E.D. Sontag, "Conditions for abstract nonlinear regulation", Information and Control, vol. 51, no. 2, pp. 105–127, 1981. pdf
Abstract
A paper that introduces a separation principle for general finite dimensional analytic continuous-time systems, proving the equivalence between existence of an output regulator (which is an abstract dynamical system) and certain "0-detectability" and asymptotic controllability assumptions.
- ▪E.D. Sontag, "Nonlinear regulation: the piecewise linear approach", IEEE Trans. Automat. Control, vol. 26, no. 2, pp. 346–358, 1981. pdf
Abstract
Development of an approach to nonlinear control based on mixtures of linear systems and finite automata. File obtained by scanning.
- ▪E.D. Sontag, D.E. Stevenson, "Remarks on multi-server, multi-priority queuing models related to MVS job scheduling", Bell Telephone Labs., TM-81-45281-1, 1981.