The robustness of strong stability of positive homogeneous difference equations. (English) Zbl 1160.39303

Bui, The Anh; Thanh, Duong Dang Xuan

J. Appl. Math. 2008, Article ID 124269, 12 p. (2008).

Summary: We study the robustness of strong stability of the homogeneous difference equation via the concept of strong stability radii: complex, real and positive radii in this paper. We also show that in the case of positive systems, these radii coincide. Finally, a simple example is given.

MSC:

39A30	Stability theory for difference equations
39A10	Additive difference equations

Keywords:

robustness; strong stability; homogeneous difference equation; positive systems

References:

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