A survey of linear singular systems

Circuits, Systems, and Signal Processing

Volumn 5, Issue 1, 1986, Pages 3-36

  Lewis, F L ^a  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRIC NETWORKS, LINEAR; MATHEMATICAL TECHNIQUES - EIGENVALUES AND EIGENFUNCTIONS; ROBOTICS; SYSTEMS SCIENCE AND CYBERNETICS - LARGE SCALE SYSTEMS;

LINEAR SINGULAR SYSTEMS; LUENBERGER CONDITION VECTOR; TIME/FREQUENCY DOMAIN; TRANSISTOR NETWORKS;

CONTROL SYSTEMS, LINEAR;

EID: 0022945161     PISSN: 0278081X     EISSN: 15315878     Source Type: Journal    
DOI: 10.1007/BF01600184     Document Type: Article

References (95)

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2. Eigenvalue Placement for Generalized Linear Systems
3. On Singular Implicit Linear Dynamical Systems
4. A New Efficient Algorithm for Solving Differential-Algebraic Systems Using Implicit Backward Differentiation Formulae
5. A Classification of Linear Controllable Systems
6. Applications of the Drazin Inverse to Linear Systems of Differential Equations with Singular Coefficients
7. Feedback and Pole-Placement in Descriptor Variable Systems
8. On the Solution of Linear Differential Equations with Singular Coefficients
9. Descriptor Variable Systems and Optimal State Regulation
10. Controllability, Observability, and Duality in Singular Systems
11. On the Algebraic Derivation of State Equations
12. Simultaneous Numerical Solution of Differential-Algebraic Equations
13. On Spectral Analysis of Non-Monic Matrix and Operator Polynomials, I. Reduction to Monic Polynomials
14. Control of Singular Linear Dynamic Systems
15. Singular Perturbations and Order Reduction in Control Theory—An Overview
16. A Fundamental Theorem on Lambda Matrices with Applications: 1. Ordinary Differential Equations with Constant Coefficients
17. The Laurent Expansion for a Nearly Singular Matrix
18. Descriptor Systems: Expanded Descriptor Equation and Markov Parameters
19. Descriptor Systems: Decomposition into Forward and Backward Subsystems
20. Fundamental, Reachability, and Observability Matrices for Discrete Descriptor Systems
21. Dynamic Equations in Descriptor Form
22. Time-Invariant Descriptor Systems
23. Nonlinear Descriptor Systems
24. Introduction to Formal Realizability Theory
25. Leverrier's Algorithm for Singular Systems
26. Structural Invariants of Linear Multivariable Systems
27. Feedback Control of Singular Systems — Proportional and Derivative Feedback of the State
28. The Semistate Description of Nonlinear Time-Variable Circuits
29. Semistate Design Theory: Binary and Swept Hysteresis
30. Control of Descriptor Systems
31. Controllability and Stabilization for Linear Systems of Algebraic and Differential Equations
32. On the Regulator Problem for Linear Degenerate Control Systems
33. On the Zeros and Poles of a Rational Matrix
34. The Laurent Expansion of a Generalized Resolvent with Some Applications
35. Structural Properties of Linear Dynamical Systems
36. Contributions to a Hierarchical Theory of Systems
37. Jump Behavior of Circuits and Systems
38. Discrete Riccati Equations: Alternative Algorithms, Asymptotic Properties, and System Theory Interpretations
39. Analysis of Descriptor Systems Using Numerical Algorithms
40. Existence of State Equation Representation of Linear Large-Scale Dynamical Systems
41. Modeling, Simulation, and Analysis with State Variables
42. Power System Response Dynamic Calculations
43. The Computation of Kronecker's Canonical Form of a Singular Pencil
44. The Generalized Eigenstructure Problem in Linear System Theory
45. Generalized State-Space for Singular Systems
46. Properties of the System Matrix of a Generalized State-Space System
47. Linear Differential Equations and Kronecker's Canonical Form
48. The Eigenvalue Problem λTx + Sx
49. Solvability, Controllability, and Observability of Continuous Descriptor Systems