ON THE STABILITY OF QUASI-POLYNOMIALS WITH WEIGHTED DIAMOND COEFFICIENTS

In this paper we treat the problem of robust stability of families of time delay system with multiple interval delays and complex weighted diamond coefficients. We provide conditions on the weights under which a simple edge-type stability criterion is available. An application of Kharitonov-Zhabko results, which requires additional restrictions on the delays and leads to a significant reduction of computational burden associated with the stability criteria. In particular, an eight-extreme-point result is derived for diamond quasipolynomials with constant delays.