769 research outputs found
The Feedback Control Strategy of the Takagi-Sugeno Fuzzy Car-Following Model with Two Delays
Considering the driverâs sensing the headway and velocity the different time-varying delays exist, respectively, and the sensitivity of drivers changes with headway and speed. Introducing the fuzzy control theory, a new fuzzy car-following model with two delays is presented, and the feedback control strategy of the new fuzzy car-following model is studied. Based on the Lyapunov function theory and linear matrix inequality (LMI) approach, the sufficient condition that the existence of the fuzzy controller is given making the closed-loop system is asymptotic, stable; namely, traffic congestion phenomenon can effectively be suppressed, and the controller gain matrix can be obtained via solving linear matrix inequality. Finally, the simulation examples verify that the method which suppresses traffic congestion and reduces fuel consumption and exhaust emissions is effective
A study of monitor functions for two dimensional adaptive mesh generation
This is the published version, also available here: http://dx.doi.org/10.1137/S1064827597327656.In this paper we study the problem of two-dimensional adaptive mesh generation using a variational approach and, specifically, the effect that the monitor function has on the resulting mesh behavior. The basic theoretical tools employed are Green's function for elliptic problems and the eigendecomposition of symmetric positive definite matrices. Based upon this study, a general strategy is suggested for how to choose the monitor function, and numerical results are presented for illustrative purposes.The three-dimensional case is also briefly discussed. It is noted that the strategy used here can be applied to other elliptic mesh generation techniques as well
A Moving Mesh Method Based on the Geometric Conservation Law
This is the published version, also available here: http://dx.doi.org/10.1137/S1064827501384925.A new adaptive mesh movement strategy is presented, which, unlike many existing moving mesh methods, targets the mesh velocities rather than the mesh coordinates. The mesh velocities are determined in a least squares framework by using the geometric conservation law, specifying a form for the Jacobian determinant of the coordinate transformation defining the mesh, and employing a curl condition. By relating the Jacobian to a monitor function, one is able to directly control the mesh concentration. The geometric conservation law, an identity satisfied by any nonsingular coordinate transformation, is an important tool which has been used for many years in the engineering community to develop cell-volume-preserving finite-volume schemes. It is used here to transform the algebraic expression specifying the Jacobian into an equivalent differential relation which is the key formula for the new mesh movement strategy. It is shown that the resulting method bears a close relation with the Lagrangian method. Advantages of the new approach include the ease of controlling the cell volumes (and therefore mesh adaption) and a theoretical guarantee for existence and nonsingularity of the coordinate transformation. It is shown that the method may suffer from the mesh skewness, a consequence resulting from its close relation with the Lagrangian method. Numerical results are presented to demonstrate various features of the new method
Rhodopsinâbased lightâharvesting system for sustainable synthetic biology
Rhodopsins, a diverse class of lightâsensitive proteins found in various life domains, have attracted considerable interest for their potential applications in sustainable synthetic biology. These proteins exhibit remarkable photochemical properties, undergoing conformational changes upon light absorption that drive a variety of biological processes. Exploiting rhodopsin's natural properties could pave the way for creating sustainable and energyâefficient technologies. Rhodopsinâbased lightâharvesting systems offer innovative solutions to a few key challenges in sustainable engineering, from bioproduction to renewable energy conversion. In this opinion article, we explore the recent advancements and future possibilities of employing rhodopsins for sustainable engineering, underscoring the transformative potential of these biomolecules
SwG-former: Sliding-window Graph Convolutional Network Integrated with Conformer for Sound Event Localization and Detection
Sound event localization and detection (SELD) is a joint task of sound event
detection (SED) and direction of arrival (DoA) estimation. SED mainly relies on
temporal dependencies to distinguish different sound classes, while DoA
estimation depends on spatial correlations to estimate source directions. To
jointly optimize two subtasks, the SELD system should extract spatial
correlations and model temporal dependencies simultaneously. However, numerous
models mainly extract spatial correlations and model temporal dependencies
separately. In this paper, the interdependence of spatial-temporal information
in audio signals is exploited for simultaneous extraction to enhance the model
performance. In response, a novel graph representation leveraging graph
convolutional network (GCN) in non-Euclidean space is developed to extract
spatial-temporal information concurrently. A sliding-window graph (SwG) module
is designed based on the graph representation. It exploits sliding-windows with
different sizes to learn temporal context information and dynamically
constructs graph vertices in the frequency-channel (F-C) domain to capture
spatial correlations. Furthermore, as the cornerstone of message passing, a
robust Conv2dAgg function is proposed and embedded into the SwG module to
aggregate the features of neighbor vertices. To improve the performance of SELD
in a natural spatial acoustic environment, a general and efficient SwG-former
model is proposed by integrating the SwG module with the Conformer. It exhibits
superior performance in comparison to recent advanced SELD models. To further
validate the generality and efficiency of the SwG-former, it is seamlessly
integrated into the event-independent network version 2 (EINV2) called
SwG-EINV2. The SwG-EINV2 surpasses the state-of-the-art (SOTA) methods under
the same acoustic environment
Variational Mesh Adaptation Methods for Axisymmetrical Problems
This is the published version, also available here: http://dx.doi.org/10.1137/S0036142902401591.We study variational mesh adaptation for axially symmetric solutions to two-dimensional problems. The study is focused on the relationship between the mesh density distribution and the monitor function and is carried out for a traditional functional that includes several widely used variational methods as special cases and a recently proposed functional that allows for a weighting between mesh isotropy (or regularity) and global equidistribution of the monitor function. The main results are stated in Theorems \ref{thm4.1} and \ref{thm4.2}. For axially symmetric problems, it is natural to choose axially symmetric mesh adaptation. To this end, it is reasonable to use the monitor function in the form G = \lambda_1(r) {\mbox{\boldmath {e}}}_r {\mbox{\boldmath {e}}}_r^T + \lambda_2(r) {\mbox{\boldmath {e}}} _\theta {\mbox{\boldmath {e}}}_\theta^T , where {\mbox{\boldmath {e}}}_r and {\mbox{\boldmath {e}}}_\theta are the radial and angular unit vectors.
It is shown that when higher mesh concentration at the origin is desired, a choice of and satisfying by choosing and .
In contrast, numerical results show that the new functional provides better control of the mesh concentration through the monitor function. Two-dimensional numerical results are presented to support the analysis
- âŠ