Numerical algorithms with condition and accuracy estimates for linear systems design

DOI10.1080/00207729308949575zbMath0783.93034OpenAlexW1990929130MaRDI QIDQ3141132

P. L. Lazarov, Petko Hr. Petkov

Publication date: 12 December 1993

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207729308949575

zbMATH Keywords

numerical algorithmsnumerical controllability analysisstate-space design problems

Mathematics Subject Classification ID

Design techniques (robust design, computer-aided design, etc.) (93B51) Linear systems in control theory (93C05) Pole and zero placement problems (93B55)

Cites Work

• Computing stable eigendecompositions of matrices
• A direct algorithm for pole assignment of time-invariant multi-input linear systems using state feedback
• A stability-enhancing scaling procedure for Schur-Riccati solvers
• A LINPACK-style condition estimator for the equation<tex>AX-XB^{T} = C</tex>
• Hessenberg and Hessenberg/triangular forms in linear system thcory†
• A Hessenberg-Schur method for the problem AX + XB= C
• A Schur method for solving algebraic Riccati equations
• An Algorithm for Numerical Computation of the Jordan Normal Form of a Complex Matrix
• The generalized eigenstructure problem in linear system theory
• Properties of numerical algorithms related to computing controllability
• Bounds and perturbation bounds for the matrix exponential
• Numerical Computation of the Matrix Exponential with Accuracy Estimate
• The Sensitivity of the Matrix Exponential
• Nineteen Dubious Ways to Compute the Exponential of a Matrix
• Algorithm 674
• Condition Estimates for Matrix Functions
• Algorithm 432 [C2: Solution of the matrix equation AX + XB = C [F4]]

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