Structure analysis via orthogonal functions

DOI10.1080/00207178908953498zbMath0694.93015OpenAlexW2038143660MaRDI QIDQ3470299

Paul M. Frank, Xianchun Ding

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1080/00207178908953498

zbMATH Keywords

orthogonal functionsidentification of systems

Mathematics Subject Classification ID

Controllability (93B05) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Canonical structure (93B10) Observability (93B07) General harmonic expansions, frames (42C15)

Related Items (2)

Controllability analysis via orthogonal functions ⋮ New Taylor series approach to state-space analysis and optimal control of linear systems

Cites Work

• Chebyshev series approach to system identification, analysis and optimal control
• The Fourier series operational matrix of integration
• Analysis and optimal control of time-varying systems via Chebyshev polynomials
• Solution of two-point-boundary-value problems by generalized orthogonal polynomials and application to optimal control of lumped and distributed parameter systems
• System identification via Fourier series
• Hermite series approach to optimal control
• Solution of linear dynamic system with initial or boundary value conditions by shifted Legendre approximations
• Analysis and optimal control of time-varying linear systems via Walsh functions
• Analysis of singular systems using orthogonal functions

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