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An algebraic test for asymptotic stability of delay differential systems with commensurate delays
Conference proceeding

An algebraic test for asymptotic stability of delay differential systems with commensurate delays

S.G. Foda, P. Agathoklis and IEEE
[1991] IEEE Pacific Rim Conference on Communications, Computers and Signal Processing Conference Proceedings, pp.406-409 vol.1
1991
DOI: https://doi.org/10.1109/PACRIM.1991.160763

Abstract

Asymptotic stability Delay systems Differential algebraic equations Differential equations Eigenvalues and eigenfunctions Frequency dependence Polynomials State-space methods Sufficient conditions System testing
An algebraic test for asymptotic stability independent of delay for delay differential systems is presented. The test is developed using the Kronecker product formulation of the frequency dependent Lyapunov equation for delay differential systems. Sufficient conditions for asymptotic stability independent of delay are shown to be equivalent to testing the eigenvalues of a set of constant matrices. Numerical aspects of the algorithms are also discussed.< >

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