This paper proposes two disk stability criteria for the multiple time-delay discrete-time system. One is a direct test (i.e., test l0<1), and the other is a boundary test. These criteria give the sufficient conditions under which all the roots of the characteristic equation are inside a specified disk D(α, γ) with center (α, 0) and radius γ. In that case, the system is called `D(α, γ)-stable.' These criteria are also extended to the system with unstructured or highly structured perturbations. If the system is not D(α, γ)-stable, these criteria also show the region in which those `unstable' characteristic roots locate.
|Number of pages||9|
|Journal||Control, theory and advanced technology|
|Issue number||4 pt 3|
|State||Published - Sep 1995|