Stability analysis of linear neutral systems with multiple time delays.
Zhang, Keyue (2005)
Mathematical Problems in Engineering
Similarity:
Zhang, Keyue (2005)
Mathematical Problems in Engineering
Similarity:
Guang-Da Hu (2011)
Kybernetika
Similarity:
In this paper, stability of linear neutral systems with distributed delay is investigated. A bounded half circular region which includes all unstable characteristic roots, is obtained. Using the argument principle, stability criteria are derived which are necessary and sufficient conditions for asymptotic stability of the neutral systems. The stability criteria need only to evaluate the characteristic function on a straight segment on the imaginary axis and the argument on the boundary...
de la Sen, M. (2006)
Discrete Dynamics in Nature and Society
Similarity:
Yanbin Zhao, Guang-Da Hu (2021)
Kybernetika
Similarity:
In this note, we are concerned with delay-dependent stability of high-order delay systems of neutral type. A bound of unstable eigenvalues of the systems is derived by the spectral radius of a nonnegative matrix. The nonnegative matrix is related to the coefficient matrices. A stability criterion is presented which is a necessary and sufficient condition for the delay-dependent stability of the systems. Based on the criterion, a numerical algorithm is provided which avoids the computation...
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.
de la Sen, M., Ibeas, A. (2008)
Mathematical Problems in Engineering
Similarity:
Silviu-Iulian Niculescu (2001)
Kybernetika
Similarity:
This paper focuses on the problem of uniform asymptotic stability of a class of linear neutral systems including some constant delays and time-varying cone-bounded nonlinearities. Sufficient stability conditions are derived by taking into account the weighting factors describing the nonlinearities. The proposed results are applied to the stability analysis of a class of lossless transmission line models.