Title :
A Schur vector method to solve higher order Lyapunov equations
Author_Institution :
Dept. of Chem. Eng., Kyungpook Nat. Univ., Taegu, South Korea
fDate :
2/1/1990 12:00:00 AM
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;
Journal_Title :
Automatic Control, IEEE Transactions on
