Numerical stability test of neutral delay differential equations.
Wang, Z.H. (2008)
Mathematical Problems in Engineering
Similarity:
Wang, Z.H. (2008)
Mathematical Problems in Engineering
Similarity:
Zhang, Keyue (2005)
Mathematical Problems in Engineering
Similarity:
Salvador A. Rodríguez, Luc Dugard, Jean-Michel Dion, Jesús de León (2009)
Kybernetika
Similarity:
This paper focuses on the delay-dependent robust stability of linear neutral delay systems. The systems under consideration are described by functional differential equations, with norm bounded time varying nonlinear uncertainties in the "state" and norm bounded time varying quasi-linear uncertainties in the delayed "state" and in the difference operator. The stability analysis is performed via the Lyapunov-Krasovskii functional approach. Sufficient delay dependent conditions for robust...
Qing-Long Han (2001)
International Journal of Applied Mathematics and Computer Science
Similarity:
This paper deals with the stability problem for a class of linear neutral delay-differential systems. The time delay is assumed constant and known. Delay-dependent criteria are derived. The criteria are given in the form of linear matrix inequalities which are easy to use when checking the stability of the systems considered. Numerical examples indicate significant improvements over some existing results.
Dan Gamliel (2014)
Mathematica Bohemica
Similarity:
Spin exchange with a time delay in NMR (nuclear magnetic resonance) was treated in a previous work. In the present work the idea is applied to a case where all magnetization components are relevant. The resulting DDE (delay differential equations) are formally solved by the Laplace transform. Then the stability of the system is studied using the real and imaginary parts of the determinant in the characteristic equation. Using typical parameter values for the DDE system, stability is...