Expected Power Bound for Two-Dimensional Digital Filters in the Fornasini-Marchesini Local State-Space Model

2015 ◽  
Vol 22 (8) ◽  
pp. 1065-1069 ◽  
Author(s):  
Choon Ki Ahn ◽  
Haranath Kar
Keyword(s):  
State Space ◽  
Digital Filters ◽  
State Space Model ◽  
Local State ◽  
Two Dimensional ◽  
Space Model

State-Space Model for Traffic State Estimation of a Two-Dimensional Network

2018 ◽  
Vol 13 (2) ◽  
pp. 326-337
Author(s):  
Yosuke Kawasaki ◽  
Yusuke Hara ◽  
Masao Kuwahara ◽  
◽  
◽  
...  
Keyword(s):  
State Space ◽  
Real Time ◽  
Traffic Flow ◽  
Flow Model ◽  
State Space Model ◽  
Two Dimensional ◽  
Traffic Flow Model ◽  
Space Model ◽  
Traffic State ◽  
2D Network

This study proposes a real-time monitoring method for two-dimensional (2D) networks via the fusion of probe data and a traffic flow model. In the Great East Japan Earthquake occurring on March 11, 2011, there was major traffic congestion as evacuees concentrated in cities on the Sanriku Coast. A tragedy occurred when a tsunami overtook the stuck vehicles. To evacuate safely and efficiently, the state of traffic must be monitored in real time on a 2D network, where all networks are linked. Generally, the traffic state is monitored only at observation points. However, observation data presents the risk of errors. Additionally, in the estimated traffic state of the 2D network, unlike non-intersecting road sections (i.e., one-dimensional), it is necessary to model user route choice behavior and origin/destination (OD) demand to input in the model. Therefore, in this study, we develop a state-space model that assimilates vehicle density and divergence ratio data obtained from probe vehicles in a traffic flow model that considers route choice. Our state-space model considers observational errors in the probe data and can simultaneously estimate traffic state and destination component ratio of OD demand. The result of simulated traffic model verification shows that the proposed model has good congestion estimation precision in a small-scale test network.

Coupled Processor: A Second-Order Continuous-State-Space Model

1990 ◽  
Vol 4 (2) ◽  
pp. 277-298 ◽  
Author(s):  
Haruhisa Takahashi
Keyword(s):  
State Space ◽  
State Space Model ◽  
Second Order ◽  
Two Dimensional ◽  
Riemann Boundary Value Problem ◽  
Riemann Boundary ◽  
Space Model ◽  
Continuous State Space ◽  
Continuous State ◽  
Order Continuous

A second-order continuous-state-space model for two-dimensional queueing systems is developed in this article. A particular problem is treated but the results can apply to some other two-dimensional queueing problems directly. The generating function for the model is obtained by applying a Riemann boundary value problem and leads to a computationally feasible solution.

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