  This paper deals with the robust stability analysis of linear systems,
subject to time-varying parameters. The Parameter Dependent Lyapunov Function
are considered, assuming that the temporal derivative of the parameters are
bounded. Some computational issues are discussed, which are present in Linear
Matrix Inequality (LMI) based approaches and are exacerbated as the quantity of
time-varying parameters increases. A possible solution to deal with issues is
proposed by modifying the inclusion of the information regarding the
time-derivative bounds. Complexity in the number of LMIs constraints can be
reduced from very complex to linear. Numerical examples are provide to
illustrate the advantages of the proposed methodology.
