State analysis and parameter estimation of bilinear systems via Haar wavelets

Abstract

This paper studies the state analysis and parameter estimation of bilinear systems via Haar wavelets. Some intrinsic properties of Haar wavelets are exploited and a Haar product matrix and a coefficient matrix are also derived. With the aid of the above tools, the state analysis and parameter estimation of bilinear systems can be solved easily. The local property of Haar wavelets is fully applied to shorten the calculation process in the task.