Stability of linear neutral delay-differential systems
نویسندگان
چکیده
منابع مشابه
On Delay-dependent Stability for Neutral Delay-differential Systems
This paper deals with the stability problem for a class of linear neutral delaydifferential systems. The time delay is assumed constant and known. Delaydependent 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...
متن کاملStability of neutral delay-differential systems with nonlinear perturbations
In this paper, the problem of the stability analysis for neutral delay-di erential systems with nonlinear perturbations is investigated. Using the L yapunov method, we present new su cient conditions for the stability, in terms of the linear matrix inequality (LMI), which can be easily solved by various convex optimization algorithms. Numerical examples are given to illustrate the application...
متن کاملSOS Methods for Delay-Dependent Stability of Neutral Differential Systems
In this paper, we consider the problem of verification of certain frequency-domain tests for stability of delay systems of the neutral type. We show that several frequency-domain conditions can be reduced to optimization problems on the cone of positive semidefinite matrices. Such an approach is an alternative to the classical graphical tests (e.g. the Nyquist criterion). The motivation for usi...
متن کاملAsymptotic Stability of Uncertain Neutral Delay-differential Systems
The problem of the stability analysis for uncertain neutral delay-differential systems is investigated. Using Lyapunov method, a new simple delay-independent criterion for asymptotic stability of the systems is presented. The criterion is expressed in terms of a linear matrix inequality (LMI), which can be easily solved by various efficient optimization algorithms. A numerical example is given ...
متن کاملStability criteria of linear neutral systems with a single delay
This article mainly considers the linear neutral delay-differential systems with a single delay. Using the characteristic equation of the system, new simple delay-independent asymptotic and exponential stability criteria are derived in terms of the matrix measure, the spectral norm and the spectral radius of the corresponding matrices. Numerical examples demonstrate that our criteria are less c...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 1988
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700027684