This paper deals with the estimation of the state variable of continuous-discrete linear state space models with multiplicative noise. Speci1cally, the optimal minimum variance linear 1lter for that class of models is constructed. Moreover, the solutions of the di2erential equations that describe the evolution of the two 1rst conditional moments between observations are obtained and an algorith...

In this paper, it is shown that a linear uncertain system described by a certain L 1 multiplicative or relative perturbation in its coprime factors that are not necessarily normalized, is the same as the one described by a gap or-gap metric ball. Hence all the stability robustness results for gap or-gap metric uncertainty carry over to this type of coprime factor perturbation. Uncertain systems...

We prove a related fixed point theorem for n mappings which arenot necessarily continuous in n fuzzy metric spaces using an implicit relationone of them is a sequentially compact fuzzy metric space which generalizeresults of Aliouche, et al. [2], Rao et al. [14] and [15].

In this paper, it is shown that a linear uncertain system described by a certain L = multiplicative or relative perturbation in its coprime factors that are not necessarily normalized, is the same as the one described by a gap or l-gap metric ball. Hence all the stability robustness results for gap or l-gap metric uncertainty carry over to this type of coprime factor perturbation. Uncertain sys...

This paper is devoted to the nonparametric estimation of the jump rate and the cumulative rate for a general class of non-homogeneous marked renewal processes, defined on a separable metric space. In our framework, the estimation needs only one observation of the process within a long time. Our approach is based on a generalization of the multiplicative intensity model, introduced by Aalen in t...

In this paper, the notion of $psi -$weak contraction cite{Rhoades} isextended to fuzzy metric spaces. The existence of common fixed points fortwo mappings is established where one mapping is $psi -$weak contractionwith respect to another mapping on a fuzzy metric space. Our resultgeneralizes a result of Gregori and Sapena cite{Gregori}.

The purpose of this short note is to consider much shorter and nicer proofs about fixed point results on b-metric spaces via b-simulation function introduced very recently by Demma et al. [M. Demma, R. Saadati, P. Vetro, emph{Fixed point results on b-metric space via Picard sequences and b-simulation functions}, Iranian J. Math. Sci. Infor. 11 (1) (2016) 123--136].

In this paper is introduced a new type of generalization of metric spaces called $S_b$ metric space. For this new kind of spaces it has been proved a common fixed point theorem for four mappings which satisfy generalized contractive condition. We also present example to confirm our theorem.

Let $(X,d)$ be an infinite compact metric space, let $(B,parallel . parallel)$ be a unital Banach space, and take $alpha in (0,1).$ In this work, at first we define the big and little $alpha$-Lipschitz vector-valued (B-valued) operator algebras, and consider the little $alpha$-lipschitz $B$-valued operator algebra, $lip_{alpha}(X,B)$. Then we characterize its second dual space.