A useful statement of some Schur-Cohn stability criteria for higher order discrete dynamic systems

Raaj K. Sah

IEEE Transactions on Automatic Control, Volume 36, Number 8, August 1991, pages 988-989.

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ABSTRACT

The classical Schur-Cohn criteria are an important source of stability conditions for discrete dynamic systems. However, the conventional statement of these criteria is opaque and not of much direct use for an applied analysis of higher order dynamic systems. The contribution of this note is to show how some of these criteria can be stated as useful and easily tested restrictions on the gradient matrices of the original higher order system.


Previous working versions include:

“A useful and easily-tested statement of some Schur-Cohn stability criteria for higher-order discrete dynamic systems.” Yale University, Department of Economics. Economic Growth Center, Center discussion paper number 614. October 1989.