Efficient Calculation of the Transition Matrix in a Max-Plus Linear State-Space Representation
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概要
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This research considers an efficient method for calculating the transition matrix in an MPL (Max-Plus Linear) state-space representation. This matrix can be generated by applying the Kleene star operator to an adjacency matrix. The proposed method, based on the idea of a topological sort in graph theory and block splitting, is able to calculate the transition matrix efficiently.
- 2008-05-01
著者
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GOTO Hiroyuki
Nagaoka University of Technology
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Goto Hiroyuki
Nagaoka Univ. Of Technol. Nagaoka‐shi Jpn
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Goto Hiroyuki
Nagaoka Univ. Of Technol.
関連論文
- High-Speed Computation of the Kleene Star in Max-Plus Algebraic System Using a Cell Broadband Engine
- Acceleration of Computing the Kleene Star in Max-Plus Algebra Using CUDA GPUs
- Consideration of Capacity and Order Constraints for Event-Varying MPL Systems(Systems and Control)
- Efficient Calculation of the Transition Matrix in a Max-Plus Linear State-Space Representation
- High-Speed Computation of the Kleene Star in Max-Plus Algebraic System Using a Cell Broadband Engine
- Fast Computation Methods for the Kleene Star in Max-Plus Linear Systems with a DAG Structure
- Efficient Representation of the State Equation in Max-Plus Linear Systems with Interval Constrained Parameters