While the state transtion matrix φ is not completely unknown, it must always satisfy the following relationships:
And φ also must have the following properties:
If the system is time-invariant, we can define φ as:
In the time-variant case, there are many different functions that may satisfy these requirements, and the solution is dependant on the structure of the system. The state-transition matrix must be determined before analysis on the time-varying solution can continue.
Poverty in U.S. Metropolitan Areas: What Are the Key Determinants and What Is the Role of Local Fiscal Structure?1
Jul 01, 2010; ABSTRACT This paper examines poverty in U.S. metropolitan statistical areas (MSAs). We first investigate the temporal dynamics of...
Poverty in U.S. metropolitan areas: what are the key determinants and what is the role of local fiscal structure?(Report)
Jun 22, 2010; I. INTRODUCTION In the United States a large proportion of low-income households are concentrated in central cities and...