The Numerical Solution of Higher Index Linear Time Varying Singular Systems of Differential Equations

Stephen L. Campbell

doi:10.1137/0906024

The Numerical Solution of Higher Index Linear Time Varying Singular Systems of Differential Equations

SIAM Journal on Scientific and Statistical Computing ◽

10.1137/0906024 ◽

1985 ◽

Vol 6 (2) ◽

pp. 334-348 ◽

Cited By ~ 48

Author(s):

Stephen L. Campbell

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Linear Time ◽

Singular Systems ◽

Time Varying ◽

Systems Of Differential Equations

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Index two linear time varying singular systems of differential equations

Circuits Systems and Signal Processing ◽

10.1007/bf01600189 ◽

1986 ◽

Vol 5 (1) ◽

pp. 97-107 ◽

Cited By ~ 6

Author(s):

Stephen L. Campbell

Keyword(s):

Differential Equations ◽

Linear Time ◽

Singular Systems ◽

Time Varying ◽

Systems Of Differential Equations

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Index Two Linear Time-Varying Singular Systems of Differential Equations

SIAM Journal on Algebraic and Discrete Methods ◽

10.1137/0604026 ◽

1983 ◽

Vol 4 (2) ◽

pp. 237-243 ◽

Cited By ~ 15

Author(s):

Stephen L. Campbell

Keyword(s):

Differential Equations ◽

Linear Time ◽

Singular Systems ◽

Time Varying ◽

Systems Of Differential Equations

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Explicit formulae for completions of linear time varying singular systems of differential equations

Circuits Systems and Signal Processing ◽

10.1007/bf01188105 ◽

1994 ◽

Vol 13 (2-3) ◽

pp. 185-199 ◽

Cited By ~ 6

Author(s):

Stephen L. Campbell ◽

Marek Rakowski

Keyword(s):

Differential Equations ◽

Linear Time ◽

Singular Systems ◽

Time Varying ◽

Systems Of Differential Equations ◽

Explicit Formulae

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A General Form for Solvable Linear Time Varying Singular Systems of Differential Equations

SIAM Journal on Mathematical Analysis ◽

10.1137/0518081 ◽

1987 ◽

Vol 18 (4) ◽

pp. 1101-1115 ◽

Cited By ~ 75

Author(s):

Stephen L. Campbell

Keyword(s):

Differential Equations ◽

Linear Time ◽

Singular Systems ◽

Time Varying ◽

Systems Of Differential Equations

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Difference Methods for the Numerical Solution of Time-Varying Singular Systems of Differential Equations

SIAM Journal on Algebraic and Discrete Methods ◽

10.1137/0607027 ◽

1986 ◽

Vol 7 (2) ◽

pp. 236-246 ◽

Cited By ~ 9

Author(s):

Kenneth D. Clark

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Singular Systems ◽

Time Varying ◽

Systems Of Differential Equations ◽

Difference Methods

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Numerical Solution of Linear Time-Varying Differential Equations using the Hybrid of Block-pulse and Rationalized Haar Functions

Journal of Vibration and Control ◽

10.1177/1077546306069121 ◽

2006 ◽

Vol 12 (10) ◽

pp. 1081-1092 ◽

Cited By ~ 2

Author(s):

B. Arabzadeh ◽

M. Razzaghi ◽

Y. Ordokhani

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Linear Time ◽

Time Varying ◽

Haar Functions

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Input-output decoupling of linear time-varying singular systems

IEEE Transactions on Automatic Control ◽

10.1109/9.763220 ◽

1999 ◽

Vol 44 (5) ◽

pp. 1016-1021 ◽

Cited By ~ 6

Author(s):

Xiaoping Liu

Keyword(s):

Linear Time ◽

Singular Systems ◽

Time Varying ◽

Input Output

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Finite-time stability of linear time-varying singular systems with impulsive effects

International Journal of Control ◽

10.1080/00207170801898893 ◽

2008 ◽

Vol 81 (11) ◽

pp. 1824-1829 ◽

Cited By ~ 122

Author(s):

Shouwei Zhao ◽

Jitao Sun ◽

Li Liu

Keyword(s):

Finite Time ◽

Linear Time ◽

Singular Systems ◽

Impulsive Effects ◽

Time Varying ◽

Time Stability ◽

Finite Time Stability

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Singular systems of differential equations as dynamic models for constrained robot systems

10.1109/robot.1986.1087712 ◽

2005 ◽

Cited By ~ 107

Author(s):

N. McClamroch

Keyword(s):

Differential Equations ◽

Dynamic Models ◽

Singular Systems ◽

Systems Of Differential Equations ◽

Robot Systems ◽

Constrained Robot

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Spectral Theory for Left-Definite Singular Systems of Differential Equations II.

Spectral Theory and Asymptotics of Differential Equations, proceedings of the Scheveningen conference on differential equations - North-Holland Mathematics Studies ◽

10.1016/s0304-0208(08)70730-8 ◽

1974 ◽

pp. 45-56

Author(s):

H.D. Niessen ◽

A. Schneider

Keyword(s):

Differential Equations ◽

Spectral Theory ◽

Singular Systems ◽

Systems Of Differential Equations

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