Index Two Linear Time-Varying Singular Systems of Differential Equations
- 1 June 1983
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Algebraic Discrete Methods
- Vol. 4 (2), 237-243
- https://doi.org/10.1137/0604026
Abstract
An analytic method of solution is given for systems of differential equations of the form $A ( t )x' ( t ) + B ( t ) x = f( t )$, where $A ( t )$ may be singular and the system has index at most two.
Keywords
This publication has 11 references indexed in Scilit:
- A second order singular linear system arising in electric power systems analysis†International Journal of Systems Science, 1982
- Order and the index of singular time-invariant linar systemsSystems & Control Letters, 1981
- A procedure for analyzing a class of nonlinear semistate equations that arise in circuit and control problemsIEEE Transactions on Circuits and Systems, 1981
- Nonregular Singular Dynamic Leontief SystemsEconometrica, 1979
- On singular singularly-perturbed initial value problemsApplicable Analysis, 1978
- Singular singular-perturbation problemsPublished by Springer Nature ,1977
- Applications of the Drazin Inverse to Linear Systems of Differential Equations with Singular Constant CoefficientsSIAM Journal on Applied Mathematics, 1976
- Optimal Control of Autonomous Linear Processes with Singular Matrices in the Quadratic Cost FunctionalSIAM Journal on Control and Optimization, 1976
- Differentiation of the Drazin InverseSIAM Journal on Applied Mathematics, 1976
- Some properties of non-canonic systems of linear integro-differential equationsČasopis pro pěstování matematiky, 1964