DocumentCode
1216360
Title
A Schur vector method to solve higher order Lyapunov equations
Author
Lee, Jietae
Author_Institution
Dept. of Chem. Eng., Kyungpook Nat. Univ., Taegu, South Korea
Volume
35
Issue
2
fYear
1990
fDate
2/1/1990 12:00:00 AM
Firstpage
215
Lastpage
218
Abstract
A general Schur vector method for solving a partial differential equation which appears in designing nonlinear optimal control laws for linear or nonlinear dynamical systems is proposed. The method reduces the dimensionality problem of the direct method. Numerical experiments show that it also reduces the numerical instability of the eigenvector method
Keywords
control system synthesis; nonlinear control systems; optimal control; partial differential equations; Schur vector method; control system synthesis; dimensionality; dynamical systems; eigenvector method; higher order Lyapunov equations; linear systems; nonlinear control systems; numerical instability; optimal control; partial differential equation; Cost function; Differential equations; Feedback control; Nonlinear equations; Optimal control; Partial differential equations; Polynomials; Riccati equations; Testing; Vectors;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.45184
Filename
45184
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