Synthesis of modal control systems having confluent eigenvalues†

† Communicated by Professor B. Porter.

Abstract

A modal control theory is developed whereby the loop-gains of a single-input system may be readily calculated using a simple formula for the case when the system matrix has a number of sets of confluent eigenvalues. The simple results derived in this paper are made possible by using the properties of the mode-controllability matrix of the system.

Notes

† Communicated by Professor B. Porter.