This work is to investigate the problem of filter design for uncertain stochastic systems with mode-dependent quantized output measurements. The issues involved in this correspondence are logarithmic quantization, Markovian jump parameters, Itô noise, and state noise. By employing an effective mathematical transformation, quantization error system equation converted into a bounded nonlinearity. Based on proposed model, H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML"...

In this paper, we first introduce the notion of a random Orlicz function, and further present conditional space generated from normed module. Second, prove denseness heart module $E$ in with respect to $(\varepsilon, \lambda)$-topology. Finally, based on above work, establish dual representation theorem module, which extends improves some known results.

In this paper, we first study the abstract Cauchy problem for evolution equations in a complete random normed module, and further some basic results of derived from an almost surely locally bounded C0–semigroup its infinitesimal generator are presented. Meantime, example also exhibits necessity local boundedness such C0–semigroup. Then, based on above work, characterization equation module to be well-posed is established, which improves generalizes known results.

Menger proposed transferring the probabilistic notions of quantum mechanics to underlying geometry. Following Menger's idea, notion random metric spaces is a generalization that and also plays an important role in study operator equations. The main difficulty this article work out skill give property peculiar special semigroup operators, which not involved classical case. Subsequently, some operators equations are studied, particular, we discuss Schrödinger-type equation, considerably...

This paper is divided into two cases to study the communication transmission equipment reliability in state of ice storm, according huge losses power system caused by storm. For nodes or links which are not affected we use calculation with “the mean time between failures (MTBF)” and repair” (MTTR) put forward methods; for OPGW cable influenced greater fiber excess length elongation optic cable. It obtains all paths network through improved adjacency matrix method, then it uses binary...

In this paper, we first introduce $\mathbb{L}$-$\mu$-measurable functions and $\mathbb{L}$-Bochner integrable on a finite measure space $(S,\mathcal{F},\mu),$ give an $\mathbb{L}$-valued analogue of the canonical $L^{p}(\Omega,\mathcal{F},\mu).$ Then investigate completeness such propose Radon-Nikod$\acute{y}$m property $\mathbb{L}$-Banach spaces. Meanwhile, example constructed in paper shows that there do exist which fails to possess property. Finally, based above work, establish dual...

Deep learning has shown promising results on change detection (CD) from bi-temporal remote sensing imagery in recent years. However, it still remains challenging to cope with the pseudo-changes caused by seasonal differences and style variations of images. In this paper, an object-level boundary-preserving generative adversarial network (BPGAN) is developed for transformation-based CD To achieve purpose, image objects derived spectral domain are incorporated into translation generate...

Finite dimensional irreducible modules of the two-parameter quantum enveloping algebra Ur,s(sln) are explicitly constructed using fusion procedure when rs -1 is generic.This provides an alternative and combinatorial description Schur-Weyl duality for linear algebras type A.

Abstract In this paper, a class of neutral neural networks with delays is investigated. The linear stability the model studied. It found that Hopf bifurcation also occurs when some pass through sequence critical values. direction bifurcations and bifurcating periodic solutions are determined by using normal form method center manifold theory. existence permanent oscillation established Chafee’s criterion. Numerical simulations performed to support analytical results.

We study, for the first time in literature on theory of random functional analysis, Cauchy initial value problem complete normed modules. Under L 0 -Lipschitz assumption solution, we prove that two kinds problems with respect to almost surely bounded C semigroups continuous module homomorphisms are well-posed. Moreover, counterexample also shows it is necessary require sure boundedness such semigroups.

In this paper, we first study some properties peculiar to $C_{0}$--semigroups of continuous module homomorphisms and give a characterization for such $C_{0}$--semigroup be almost surely bounded. Then, based on these, establish the Hille-Yosida generation theorem bounded homomorphisms, which generalizes known results. Moreover, counterexample constructed in paper also shows that it is necessary require sure boundedness $C_{0}$--semigroups.

We introduce the two-parameter quantum affine algebra $U_{r,s}(\widehat{gl}_n)$ via RTT realization. The Drinfeld realization is given and type A proved to be a special subalgebra of our extended algebra.

Tianjin is now engaged in the drawing up of latest five-year plan, and taking this opportunity, article studies economic social development street regions based on GIS analysis techniques. With case study Changzhou Road Hedong District, author endeavors to explore a new pattern by changing focus regions.

Motivated by the work of T.E. Govindan in [5,8,9], this paper is concerned with a more general semilinear stochastic evolution equation. The difference between equations considered and previous one that it makes some changes to nonlinear function random integral, which also depends on probability distribution process at time. First, considers existence uniqueness mild solutions for such equations. Furthermore, Trotter-Kato approximation system introduced solutions, weak convergence induced...

This paper defines a pairing of two finite Hopf C*-algebras $A$ and $B$, investigates the interactions between them. If is non-degenerate, then quantum double construction given. yields new C*-algebra $D(A,B)$. The canonical embedding maps $B$ into are both isometric.

We first prove Mazur’s lemma in a random locally convex module endowed with the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2"><mml:mrow><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>-convex topology. Then, we establish embedding theorem of an id="M3"><mml:mrow><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mn...

Multi-LiDAR systems have been prevalently applied in modern autonomous vehicles to render a broad view of the environments. The rapid development 5G wireless technologies has brought breakthrough for current cellular vehicle-to-everything (C-V2X) applications. Therefore, novel localization and perception system which multiple LiDARs are mounted around cities proposed. However, existing calibration methods require specific hard-to-move markers, ego-motion, or good initial values given by...