An extreme point result for robust stability of discrete-time systems with complex coefficients in two diamonds
Conference
Yen, KK, Zhou, SF, Qu, Z. (1992). An extreme point result for robust stability of discrete-time systems with complex coefficients in two diamonds
. 111-116. 10.1109/CCA.1992.269890
Yen, KK, Zhou, SF, Qu, Z. (1992). An extreme point result for robust stability of discrete-time systems with complex coefficients in two diamonds
. 111-116. 10.1109/CCA.1992.269890
For continuous-time systems, robust stability problem that coefficients of characteristic polynomial vary in a diamond can be considered to be a "dual" problem to Kharitonov's theorem on interval polynomials. This paper aims at developing similar results for discrete-time systems. Specifically, it has been shown that stability of a family of polynomials, whose complex coefficients lie in two diamonds of some transformed parameter space, can be determined by simply checking twelve extremal polynomials. If the coefficients are real, only four extremal polynomials are required, these results can be viewed as a counterpart of Kharitonov's result (strong version) for discrete-time systems.
