Modeling and analysis of hexapod robot motion with two motors using max-plus algebra

Scaling, Modeling and Traffic Control of a Real Railway Network using Max-plus Algebra and Model Predictive Control

Delay time recovery can increase the efficiency of the railway network and increase the attractiveness of railway transport against other transportation systems. This article presents a new dynamical model of railway system. The proposed model is a discrete event systems that is defined based on the deviation of travel time and deviation of stop time of trains. Due to the existence of multiple ...

Two Lectures on Max-plus Algebra

Exotic semirings such as the “(max,+) semiring” (R ∪ {−∞},max,+), or the “tropical semiring” (N ∪ {+∞},min,+), have been invented and reinvented many times since the late fifties, in relation with various fields: performance evaluation of manufacturing systems and discrete event system theory; graph theory (path algebra) and Markov decision processes, Hamilton-Jacobi theory; asymptotic analysis...

Motion Analysis of Hexapod Robot with Eccentric Wheels

A hexapod robot is a robot that has six legs to walk or move. It is well known that a robot can be statically stable on three or more legs. Since a hexapod robot has several legs, it has a great deal of flexibility in how it can move. If some legs become disabled, the robot may still be able to walk. Furthermore, not all of the robot’s legs are needed for stability; other legs are free to reach...

Max-Plus algebra on tensors and its properties

In this paper we generalize the max plus algebra system of real matrices to the class of real tensors and derive its fundamental properties. Also we give some basic properties for the left (right) inverse, under the new system. The existence of order 2 left (right) inverses of tensors is characterized.

Reachability Analysis for Timed Models using Max-Plus Algebra