论文信息 - Solving singular systems using orthogonal functions

Solving singular systems using orthogonal functions

Orthogonal functions, and, in particular, Walsh functions, have been advocated in the literature as a method of approximating the solutions of singular systems Ex'=Fx+Bu of index k. The paper gives the first analysis of the accuracy of these approximations. For Walsh functions, divergence is shown for k>or=3 and convergence for k=0,1. The k=2 case is also analysed. >

Stephen L. Campbell | S. Campbell | Kevin D. Yeomans | K. Yeomans

[1] C. F. Chen,et al. A state-space approach to Walsh series solution of linear systems , 1975 .

[2] R. F. Sincovec,et al. Analysis of descriptor systems using numerical algorithms , 1981 .

[3] Stephen L. Campbell,et al. On using orthogonal functions with singular systems , 1984 .

[4] S. Campbell. Singular Systems of Differential Equations , 1980 .

[5] Basil G. Mertzios,et al. Analysis of singular systems using orthogonal functions , 1987 .

[6] G. Rao. Piecewise Constant Orthogonal Functions and Their Application to Systems and Control , 1983 .

[7] Basil G. Mertzios,et al. System inversion using orthogonal functions , 1987 .

[8] S. Campbell. Singular systems of differential equations II , 1980 .

[9] L. Petzold. Order results for implicit Runge-Kutta methods applied to differential/algebraic systems , 1986 .

[10] F. Lewis. A survey of linear singular systems , 1986 .

[11] Richard H. Bartels,et al. Algorithm 432 [C2]: Solution of the matrix equation AX + XB = C [F4] , 1972, Commun. ACM.

[12] S. Campbell. Singular linear systems of differential equations with delays , 1980 .