Analysis of linear time-invariant time-delay systems via orthogonal functions
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Publication:4698733
DOI10.1080/00207729508929025zbMath0819.93036OpenAlexW1969507628MaRDI QIDQ4698733
Publication date: 11 May 1995
Published in: International Journal of Systems Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207729508929025
time delayorthogonal functionstime-invariantderivative operational matrixlinear time-invariant dynamical systemsdelay-integration operational matrix
Linear systems in control theory (93C05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Control problems for functional-differential equations (34K35) Model systems in control theory (93C99)
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Cites Work
- Walsh series analysis of multi-delay systems
- 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
- Analysis of time-delay systems via Walsh functions
- Solutions of integral equations via modified Laguerre 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
- Shifted Legendre series solution and parameter estimation of linear delayed systems
- Shift and product Fourier matrices and linear delay-differential equations
- Analysis of systems with multiple time-varying delays via generalized block pulse functions
- Analysis and parameter identification of time-delay linear systems via generalized orthogonal polynomials
- Analysis of time-delay systems via shifted Chebyshev polynomials of the first and second kinds
- Analysis of piecewise constant delay systems via block-pulse functions
- Walsh series expansion of composite functions and its application to linear systems
- Shift Walsh matrix and delay-differential equations
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