Walsh function analysis of linear and bilinear discrete time systems

DOI10.1080/00207179108953652zbMath0737.93044OpenAlexW1997662633MaRDI QIDQ3978347

D. W. Fountain, Frank L. Lewis

Publication date: 25 June 1992

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207179108953652

zbMATH Keywords

exampleKronecker productdiscrete Walsh functionsdiscrete bilinear difference equationnumerically stable recursive technique

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Cites Work

• Unnamed Item
• Solution and identification of discrete state-space equations via Walsh functions
• Bilinear control processes. With applications to engineering, ecology, and medicine
• Analysis of bilinear systems via single-term Walsh series
• Analysis of bilinear systems using Walsh functions
• Simple methods for the shift-transformation matrix, direct-product matrix and summation matrix of discrete Walsh series
• A state-space approach to Walsh series solution of linear systems
• Analysis of singular systems using orthogonal functions
• Algorithm 432 [C2: Solution of the matrix equation AX + XB = C [F4]]

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