Analysis and parameter identification of time-delay systems via polynomial series

DOI10.1080/00207178708933887zbMath0615.93032OpenAlexW1998270596MaRDI QIDQ4724500

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Publication date: 1987

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

Full work available at URL: https://doi.org/10.1080/00207178708933887

zbMATH Keywords

parameter identificationtime-delay systemsTaylor seriestime-invariant

Mathematics Subject Classification ID

System identification (93B30) Linear systems in control theory (93C05) Control problems for functional-differential equations (34K35) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Classical operational calculus (44A45)

Related Items (9)

A hybrid approach to parameter identification of linear delay differential equations involving multiple delays ⋮ An iterative method for suboptimal control of linear time-delayed systems ⋮ Parameter identification of linear multi-delay systems via a hybrid of block-pulse functions and Taylor’s polynomials ⋮ Identifiability and identification of a class of parabolic distributed systems under approximation ⋮ Analysis of Time-delay Systems via Hybrid of Block-pulse Functions and Taylor Series ⋮ Functional approximation for inversion of Laplace transforms via polynomial series ⋮ Optimization of time delay systems by hybrid functions ⋮ Solution of piecewise constant delay systems using hybrid of block-pulse and Chebyshev polynomials ⋮ New Taylor series approach to state-space analysis and optimal control of linear systems

Cites Work

• Taylor series approach to system identification, analysis and optimal control
• Solution and Parameter Estimation in Linear Time-Invariant Delayed Systems Using Laguerre Polynomial Expansion
• Analysis and parameter identification of time-delay systems via shifted Legendre polynomials
• The Application of Shifted Legendre Polynomials to Time-Delay Systems and Parameter Identification
• Analysis, parameter estimation and optimal control of time-delay systems via Chebyshev series
• Parameter identification of non-linear systems using Laguerre operational matrices
• Shifted Legendre series solution and parameter estimation of linear delayed systems
• The operational matrix of polynomial series transformation
• Parameter Estimation of Delay Systems Via Block Pulse Functions
• Explicit solution of a class of delay-differential equations
• Shift Walsh matrix and delay-differential equations

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