- ▪E.D. Sontag, "Remarks on input/output linearization", In Proc.\ IEEE Conf.\ Dec.\ and Control, Las Vegas, Dec.\ 1984, pp. 409–412, 1984. pdf
Abstract
In the context of realization theory, conditions are given for the possibility of simulating a given discrete time system, using immersion and/or feedback, by linear or state-affine systems.
- ▪E.D. Sontag, "Realization theory of discrete-time nonlinear systems. I. The bounded case", IEEE Trans. Circuits and Systems, vol. 26, no. 5, pp. 342–356, 1979. pdfdiscrete-time systems · nonlinear systems · realization theory · bilinear systems · state-affine systems
Abstract
A state-space realization theory is presented for a wide class of discrete time input/output behaviors. Although In many ways restricted, this class does include as particular cases those treated in the literature (linear, multilinear, internally bilinear, homogeneous), as well as certain nonanalytic nonlinearities. The theory is conceptually simple, and matrix-theoretic algorithms are straightforward. Finite-realizability of these behaviors by state-affine systems is shown to be equivalent both to the existence of high-order input/output equations and to realizability by more general types of systems.