A 2-D ALGEBRIC STABILITY TEST

Musoke H. Sendaula · 1988

An algebraic 2-D stability test is presented. The development is based on the properties of the associated frequency dependent Lyapunov equation and the extension of the 1-D discrete Routh algorithm to frequency dependent complex polynomials. It is shown that the 2-D stability test reduces to determining if a symmetric polynomial associated with the frequency dependent Lyapunov equation has no zeros on the unit circle. NOTATION: U2 denotes the unit closed unit bidisc

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