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Displaying 601 –
620 of
3842
Block-based physical modeling is a methodology for modeling physical systems with different subsystems. Each subsystem may be modeled according to a different paradigm. Connecting systems of diverse nature in the discrete-time domain requires a unified interconnection strategy. Such a strategy is provided by the well-known wave digital principle, which had been introduced initially for the design of digital filters. It serves as a starting point for the more general idea of blockbased physical modeling,...
Since the release of the Bio 2010 report in 2003, significant emphasis has been placed on initiating changes in the way undergraduate biology and mathematics courses are taught and on creating new educational materials to facilitate those changes. Quantitative approaches, including mathematical models, are now considered critical for the education of the next generation of biologists. In response, mathematics departments across the country have initiated changes to their introductory calculus sequence,...
The theory of partially observable Markov decision processes (POMDPs) is a useful tool for developing various intelligent agents, and learning hierarchical POMDP models is one of the key approaches for building such agents when the environments of the agents are unknown and large. To learn hierarchical models, bottom-up learning methods in which learning takes place in a layer-by-layer manner from the lowest to the highest layer are already extensively used in some research fields such as hidden...
The paper deals with a boundary control problem for the Maxwell dynamical
system in a bounbed domain
Ω ⊂ R3. Let ΩT ⊂ Ω be the subdomain
filled by waves at the moment T,
T* the moment at which the waves fill the whole
of Ω. The following effect occurs: for small enough
T the system is approximately controllable in ΩT whereas for
larger T < T* a lack of controllability is possible. The subspace of unreachable states
is of finite dimension determined by topological characteristics of ΩT.
We consider transmission problems for general second order linear hyperbolic
systems having piecewise constant coefficients in a bounded, open connected
set with smooth boundary and controlled through the Dirichlet boundary
condition. It is proved that such a system is exactly controllable in an
appropriate function space provided the interfaces where the coefficients
have a jump discontinuity are all star-shaped with respect to one and the
same point and the coefficients satisfy a certain...
We propose a finite difference semi-discrete scheme for the approximation of the boundary exact controllability problem of the 1-D beam equation modelling the transversal vibrations of a beam with fixed ends. First of all we show that, due to the high frequency spurious oscillations, the uniform (with respect to the mesh-size) controllability property of the semi-discrete model fails in the natural functional setting. We then prove that there are two ways of restoring the uniform controllability...
We propose a finite difference semi-discrete scheme for the
approximation of the boundary exact controllability problem of
the 1-D beam equation modelling the transversal vibrations
of a beam with fixed ends.
First of all we show that, due to the high frequency spurious
oscillations, the uniform (with respect to the mesh-size)
controllability property of the semi-discrete model fails in the
natural functional setting.
We then prove that there are two ways of restoring the uniform
controllability...
In this paper, we consider a one-dimensional system governed by two partial differential equations. Such a system models phenomena in engineering, such as vibrations in beams or deformation of elastic bodies with porosity. By using the HUM method, we prove that the system is boundary exactly controllable in the usual energy space. We will also determine the minimum time allowed by the method for the controllability to occur.
In this paper, we consider the boundary stabilization of a sandwich beam which consists of two outer stiff layers and a compliant middle layer. Using Riesz basis approach, we show that there is a sequence of generalized eigenfunctions, which forms a Riesz basis in the state space. As a consequence, the spectrum-determined growth condition as well as the exponential stability of the closed-loop system are concluded. Finally, the well-posedness and regularity in the sense of Salamon-Weiss class as...
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