Identifiability and identification of linear distributed systems via double general orthogonal polynomials

DOI10.1080/00207178708934009zbMath0626.93012OpenAlexW2169085036MaRDI QIDQ3030644

A. Lahouaoula

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1080/00207178708934009

zbMATH Keywords

identifiabilitydouble general orthogonal polynomialslinear parabolic distributed systems

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) System identification (93B30) Linear systems in control theory (93C05) Inverse problems for PDEs (35R30) 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) Second-order parabolic equations (35K10) Classical operational calculus (44A45)

Related Items (1)

Identifiability and identification of a class of parabolic distributed systems under approximation

Cites Work

• Optimal Control of Linear Distributed Parameter Systems by Shifted Legendre Polynomial Functions
• Application of Chebyshev polynomials to the optimal control of time-varying linear systems
• Identification of linear distributed systems via Laguerre polynomials
• Identifiability of linear and nonlinear dynamical systems
• Identifiability of Spatially-Varying and Constant Parameters in Distributed Systems of Parabolic Type
• Distributed parameter system identification via Walsh functions

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