A matrix method for determining the imaginary axis eigenvalues of a delay system

IEEE Transactions on Automatic Control

Volumn 46, Issue 12, 2001, Pages 2008-2012

  Louisell, James ^a  

^a University of Minnesota   (United States)

Author keywords

Delay systems; Eigenvalues; Polynomial matrices; Stability

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; MATRIX ALGEBRA; POLYNOMIALS; SYSTEM STABILITY;

DELAY SYSTEMS;

TIME VARYING CONTROL SYSTEMS;

EID: 0035704594     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/9.975510     Document Type: Article

References (17)

1. Kronecker products and matrix calculus in system theory
2. A Liapunov functional for a matrix neutral difference-differential equation with one delay
3. A new method for computing delay margins for stability of linear delay systems
4. Discrete delay, distributed delay and stability switches
5. Lyapunov functionals for certain linear delay differential equations in a Hilbert space
6. The Laplace transform and the integral stability of certain linear processes
7. Stability switches in linear scalar neutral delay equations
8. Reliable numerical methods for polynomial matrix triangularization
9. A Liapunov functional for a matrix difference-differential equation
10. Robust stabilization of uncertain time delay systems via combined internal-external approach
11. New examples of quenching in delay differential equations having time-varying delay
12. Numerics of the stability exponent eigenvalue abscissas ofa matrix delay system
13. Stability and hyperbolicity of linear systems with delayed state: A matrix-pencil approach
14. Quadratic Liapunov functionals for systems with delays