**Posted Dec 1, 1995**

## An Information State Approach to Nonlinear j-Inner/Outer
Factorization

### By J. W. Helton and M. R. James

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(6 pages)

This paper gives formulas for J-phase outer factorization of nonlinear
systems
and listing properties which are proved about them. Earlier work
with Ball
did J- inner outer factorization of stable systems, but the unstable
case
requires a vastly different construction.
Also in the same announcement we give some tuning of the James-Baras
solution of the nonlinear *H* control problem. One must add a
hypothesis
to insure internal stability of the closed loop control system.
CDC 94