Analysis of bilinear systems with Picard's method and block-pulse operational matrices

DOI10.1016/0016-0032(85)90038-9zbMath0581.93029OpenAlexW1965312329MaRDI QIDQ1068771

Wieslaw Marszalek

Publication date: 1985

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0016-0032(85)90038-9

zbMATH Keywords

bilinear state-space equationsblock-pulse operational matricesPicard's iterative algorithm

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Theoretical approximation of solutions to ordinary differential equations (34A45) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Control/observation systems governed by ordinary differential equations (93C15) Classical operational calculus (44A45)

Related Items

Parameter estimation algorithms for bilinear and non-linear systems using Walsh functions—recursive approach

Cites Work

• Volterra series and geometric control theory
• Analysis and parameter estimation of bilinear systems via block-pulse functions
• Explicit solutions of integral equations via block pulse functions
• Bilinear system identification by Walsh functions
• Further comments on "Design of piecewise constant gains for optimal control via Walsh functions"