The Stability Analysis for a 2 × 2 Conservation Law with PI Controller and PDP Controller

This article is concerned with the stability analysis of a 2 × conservation law PI and PDP boundary feedback control. In controller case, authors establish sufficient necessary condition for parameters by Walton–Marshall criterion. Moreover, in characteristic equation an exponential polynomial which includes two arguments. Based on Ruan’s results quasi-polynomials Schur–Cohn criterion roots inside unit circle real coefficient polynomial, complete characterization system delay presented. Also, delay-independent delay-dependent intervals are obtained this article.