Abstract
The set of finite dimensional vectors, denoted by V, which has different dimensions. Similar to matrix case, using V-equivalence, the quotient space is considered, and it becomes a vector space. In this chapter we consider the quotient space of V, with respect to V-equivalence, which is a vector space. Next, we discuss the projections from Vα to Vβ. This projection makes it possible to project a dynamic system of certain dimension to a dynamic system of different (could be much lower) dimension. Finally, we consider the transient dynamics of dimension-varying systems, which have fixed dimensions at most of time, and at transient time change dimension from one to another.
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