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Solution to Morgan's problem

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3 Author(s)
J. Descusse ; Lab. d'Autom. de Nantes, CNRS, France ; J. F. Lafay ; M. Malabre

A necessary and sufficient condition is presented for the solution of the row-by-row decoupling problem (known as Morgan's problem) in the general case, that is, without any restrictive assumption added to the system to the feedback law u=Fx+Gy (G may be noninvertible). This is a structural condition in terms of invariant lists of integers which are easily computable from a given state realization of the system. These integers are the infinite zero orders (Morse's list I4) and the essential orders of the system, which only depend on the input-output behavior, and Morse's list I2 of the system, which depends on the choice of a particular state realization

Published in:

IEEE Transactions on Automatic Control  (Volume:33 ,  Issue: 8 )