Validation of the odometric model for the purpose of the numerical analysis

—The odometric model is validated herein. We have been starting to simulate, integrate, explain and then to validate the odometric model. The model of validation is to be programmed in the Python language, with the help of a bridge for RTMaps 4.6.2. The matrix of command is to be added with the matrix of state to be also given to the interpreter, or maybe to the compiler, because it is used to be a difficulty for RTMaps 4.6.2 multiply

Abstract-The odometric model is validated herein. We have been starting to simulate, integrate, explain and then to validate the odometric model. The model of validation is to be programmed in the Python language, with the help of a bridge for RTMaps 4.6.2. The matrix of command is to be added with the matrix of state to be also given to the interpreter, or maybe to the compiler, because it is used to be a difficulty for RTMaps 4.6.2 itself to multiply the matrixes one by one, please see at https://intempora.com/licenses/python_3.8.0.txt. Index Terms-Odometry; Vehicle location and navigation systems; Mobile positioning systems; Trajectory; Discretization of a model; Control of a vehicle.

I. INTRODUCTION
As one introduction, I could say that the odometric model is well known now and that everything is shaped for the validation to be executed under RTMaps 4.6.2. This platform of validation has been developed by the CAOR with Mister Bruno Steux, Mister Olivier Meunier and Mister Nicolas du Lac, and then is intensively and fluently used by Renault SA for developing the laws of control of the components of their vehicle, and then used as a standard to validate the behaviour of such an autonomous vehicle.

II. VALIDATION
I want here to do the validation because the set of equations is now available as the document "Simulation, integration and explanation of the odometric model for the purpose of the numerical analysis", [1], and ready to be programmed. There is a version of RTMaps named 4.6.2 which is fully offered free of duty to me with the bridge for Python under the commercial licence … So that my informatical support is based on the Intempora SA team of support of engineers at Issy-lesmoulineaux, headed by Mister Nicolas du Lac, the CEO of Intempora SA. I should underline that RTMaps is a major key product coming from the School of the Mines of Paris previously headed by Mister Claude Laurgeau, retired from the laboratory of the CAOR, and actually headed by a famous professor and also sometimes researcher in the field of the probabilities.
My mathematical background is coming from the course of mathematics of PSI*, the class to improve the knowledge in the industrial field of mechanics, automatics, mathematics, and also based on the book of Mister Jean François Ruaud, as a professor of mathematics at Lakanal in PSI* and then at Saint Louis in MP, who published "Mathématiques 2ème année" to compile all the course of MP, PC and PSI, [2], with the work of colleagues at School of    V. STABILITY The stability has been proven by the example as follow, it has been given by the solver of the MapleSim solver which is the next to the Maple suite of developments, which is one of the best known of his class of resolution, and finally it has been done with the odometric model detailed in the figures below.

VI. CONCLUSION
As one conclusion, I could say that the odometric model is well known now and that everything is done for the commands of a model of automation to be validated with the odometric model.