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Displaying 261 –
280 of
280
We analyze the stability and stabilizability properties of mixed retarded-neutral type
systems when the neutral term may be singular. We consider an operator differential
equation model of the system in a Hilbert space, and we are interested in the critical
case when there is a sequence of eigenvalues with real parts converging to zero. In this
case, the system cannot be exponentially stable, and we study conditions under which it
will be strongly...
We analyze the stability and stabilizability properties of mixed retarded-neutral type
systems when the neutral term may be singular. We consider an operator differential
equation model of the system in a Hilbert space, and we are interested in the critical
case when there is a sequence of eigenvalues with real parts converging to zero. In this
case, the system cannot be exponentially stable, and we study conditions under which it
will be strongly...
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 of a bounded...
This paper analyzes the BIBO stability of fractional exponential delay systems which are of retarded or neutral type. Conditions ensuring stability are given first. As is the case for the classical class of delay systems these conditions can be expressed in terms of the location of the poles of the system. Then, in view of constructing robust BIBO stabilizing controllers, explicit expressions of coprime and Bézout factors of these systems are determined. Moreover, nuclearity is analyzed in a particular...
The problem of finding an input-output representation of a nonlinear state space system, usually referred to as the state elimination, plays an important role in certain control problems. Though, it has been shown that such a representation, at least locally, always exists for both the systems with and without delays, it might be a neutral input-output differential equation in the former case, even when one starts with a retarded system. In this paper the state elimination is therefore extended...
We obtain the existence and uniqueness of square-mean pseudo almost automorphic mild solutions to first-order partial neutral stochastic functional differential equations with Stepanov-like almost automorphic coefficients in a real separable Hilbert space.
In this paper, we use a modification of Krasnoselskii’s fixed point theorem introduced by Burton (see [Burton, T. A.: Liapunov functionals, fixed points and stability by Krasnoseskii’s theorem. Nonlinear Stud., 9 (2002), 181–190.] Theorem 3) to obtain stability results of the zero solution of the totally nonlinear neutral differential equation with variable delay
The stability of the zero solution of this eqution provided that . The Caratheodory condition is used for the functions and .
By using successive approximation, we prove existence and uniqueness result for a class of neutral functional stochastic differential equations in Hilbert spaces with non-Lipschitzian coefficients
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