Extension of Computation Beyond the Limit of Initial Normal Interval in Walsh Series Analysis of Dynamical Systems

Abstract

This paper presents a method of extending computation beyond the limit of the initial normal interval in Walsh series analysis of dynamical systems. The solution may be extended over contiguous normalized intervals of time to any length. The procedure avoids operational matrices of prohibitively large size and reduces the computational effort to a minimum while retaining accuracy. As a by-product of the method, the solution at the segment junctions is also available in addition to the one in piecewise constant form. The formula also provides information regarding the stability of the resulting progression. Copyright © 1980 by The Institute of Electrical and Electronics Engineers, Inc.