Some Schur-stability criteria for uncertain systems with complex coefficients

When a discrete-time uncertain system is characterized by a polynomial with complex coefficients whose real and imaginery parts belong to some known intervals, its stability in the face of coefficient variation is under question. Three approaches to robust stability analysis of these kind of systems are presented. In all three approaches, the number of polynomials whose stability has to be checked grows with the polynomial degree, in contrast to the continuous-time case.<
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