  The stability problem in terms of two measures for semiflows in space
conv(R^n) was investigated. On the basis of comparison principle the obtained
result is used to study the stability criteria for a certain semiflow in space
conv(R^n). This semiflow, in particular, generalizes set differential equations
and a set of attainability for linear control systems. The sufficient
conditions of stability and practical stability of semiflow in terms of two
measures was established. As measures the Hausdorff metric is considered as
well as a special measures constructed on the basis of the certain mixed
volumes. A significant number of examples of studying the stability for
specific semiflows was given to illustrate the effectiveness of proposed
approach.
