Analysis of singular systems using orthogonal functions

DOI10.1109/TAC.1987.1104649zbMath0615.93033MaRDI QIDQ4724501

B. G. Mertzios, Frank L. Lewis

Publication date: 1987

Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)

zbMATH Keywords

invariant subspacessingular systemsorthogonal functionsgeneralized Lyapunov equationgeneralized Bartels-Stewart algorithm

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Matrix equations and identities (15A24) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) General theory for ordinary differential equations (34A99)

Related Items (12)

Spectral methods for the solution of linear descriptor systems using Fourier functions ⋮ Walsh function analysis of linear and bilinear discrete time systems ⋮ Stabilization of spectral methods for the analysis of singular systems using piecewise constant basis functions ⋮ Structure analysis via orthogonal functions ⋮ Optimal control of singular systems via single-term walsh series ⋮ On disturbance localization in singular systems with direct feedthrough ⋮ Recursive analysis of two-dimensional discrete systems: An operational approach ⋮ A tutorial on the geometric analysis of linear time-invariant implicit systems ⋮ System inversion using orthogonal functions ⋮ Combined preorder and postorder traversal algorithm for the analysis of singular systems by Haar wavelets ⋮ Modeling and analysis of singular systems via orthogonal triangular functions ⋮ Constructing a homogeneous LTI descriptor system with desired properties using perturbation theory

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