In this paper,we define for the trace operator,the solution of certain models of vibrating plates standards with initial data in a strategic region spaces of weak regularities.Indeed,we know that the notion of regiona...In this paper,we define for the trace operator,the solution of certain models of vibrating plates standards with initial data in a strategic region spaces of weak regularities.Indeed,we know that the notion of regional controllability is more adapted to systems described by dynamic systems.Regional controllability results in a strategic area were established for vibrating plates by the Hilbertian Uniqueness Method.展开更多
In this paper we show a boundary result of controllability by a new approach using a linear, continuous and surjective operator built from the solution of the heat system. And, subsequently, the border exact controlla...In this paper we show a boundary result of controllability by a new approach using a linear, continuous and surjective operator built from the solution of the heat system. And, subsequently, the border exact controllability of the 1D heat equation through a compactness criterion and the use of strategic zone actuators were established.展开更多
The aim of this work is to improve the minimum time of null controllability of the 1D heat equation by using the notion of strategic zone actuators. In fact, motivated by the work of Khodja on the null controllability...The aim of this work is to improve the minimum time of null controllability of the 1D heat equation by using the notion of strategic zone actuators. In fact, motivated by the work of Khodja on the null controllability of the heat equation and of El Jai on the controllability by the use of strategic zone actuators, we managed, in this work, to improve the minimal time of null controllability to the 1D heat equation. However, the restrictions and difficulties to establish the inequality of coercivity of the parabolic operator, require to seek other methods of internal control. Thus in this paper, a mixed method combining the method of moments and the notion of strategic profile was used to find a better minimal time of null controllability of the 1D heat equation.展开更多
The development of drones has given new impetus to modern photogrammetry.These unmanned aerial vehicles(UAVs)have become highly valued for 3D modeling.They allow cartographers,surveyors,and others to more easily colle...The development of drones has given new impetus to modern photogrammetry.These unmanned aerial vehicles(UAVs)have become highly valued for 3D modeling.They allow cartographers,surveyors,and others to more easily collect the data necessary for a perfect three-dimensional reconstruction of objects on the Earth’s surface.The advent of real-time kinematic positioning(RTK)systems and their use by drones allows for time savings,a reduction in ground control points(GCPs),a reduction in cost and facilitates data acquisition while maintaining good accuracy.The objective of this study is to perform a three-dimensional comparative analysis of three modern photogrammetric positioning approaches:DRTK2,DRTK2 combined with GCPs,and shortbaseline PPK obtaining corrections from a GNSS base station.Data was acquired using a DJI Phantom 4 RTK.These different approaches were used in both relatively flat and rugged terrain to help users choose the most appropriate one for a given project.The evaluation focused on their accuracy in relation to the topography and their ease of implementation.The methodology was initially based on establishing an altimetric reference system through direct leveling from a reference point linked to the 1953 General Levelling Survey of West Africa(NGAO53)and a planimetric reference system using the Senegal West African Navigation(SWAN)network of permanent stations.Subsequently,the data obtained by each positioning method were processed using Pix4D Mapper software and compared with the reference data.The results obtained reveal that the DRTK2+GCP combination(RMSE xyz=0.062 m)ensures more consistent accuracy,particularly in rugged terrain where acquisition conditions are more complex.PPK(RMSE xyz=0.046 m)provides better results in a non-rugged area,with simpler implementation.These results offer a better understanding of the advantages and limitations of these three GNSS positioning techniques applied to drone photogrammetry.展开更多
文摘In this paper,we define for the trace operator,the solution of certain models of vibrating plates standards with initial data in a strategic region spaces of weak regularities.Indeed,we know that the notion of regional controllability is more adapted to systems described by dynamic systems.Regional controllability results in a strategic area were established for vibrating plates by the Hilbertian Uniqueness Method.
文摘In this paper we show a boundary result of controllability by a new approach using a linear, continuous and surjective operator built from the solution of the heat system. And, subsequently, the border exact controllability of the 1D heat equation through a compactness criterion and the use of strategic zone actuators were established.
文摘The aim of this work is to improve the minimum time of null controllability of the 1D heat equation by using the notion of strategic zone actuators. In fact, motivated by the work of Khodja on the null controllability of the heat equation and of El Jai on the controllability by the use of strategic zone actuators, we managed, in this work, to improve the minimal time of null controllability to the 1D heat equation. However, the restrictions and difficulties to establish the inequality of coercivity of the parabolic operator, require to seek other methods of internal control. Thus in this paper, a mixed method combining the method of moments and the notion of strategic profile was used to find a better minimal time of null controllability of the 1D heat equation.
文摘The development of drones has given new impetus to modern photogrammetry.These unmanned aerial vehicles(UAVs)have become highly valued for 3D modeling.They allow cartographers,surveyors,and others to more easily collect the data necessary for a perfect three-dimensional reconstruction of objects on the Earth’s surface.The advent of real-time kinematic positioning(RTK)systems and their use by drones allows for time savings,a reduction in ground control points(GCPs),a reduction in cost and facilitates data acquisition while maintaining good accuracy.The objective of this study is to perform a three-dimensional comparative analysis of three modern photogrammetric positioning approaches:DRTK2,DRTK2 combined with GCPs,and shortbaseline PPK obtaining corrections from a GNSS base station.Data was acquired using a DJI Phantom 4 RTK.These different approaches were used in both relatively flat and rugged terrain to help users choose the most appropriate one for a given project.The evaluation focused on their accuracy in relation to the topography and their ease of implementation.The methodology was initially based on establishing an altimetric reference system through direct leveling from a reference point linked to the 1953 General Levelling Survey of West Africa(NGAO53)and a planimetric reference system using the Senegal West African Navigation(SWAN)network of permanent stations.Subsequently,the data obtained by each positioning method were processed using Pix4D Mapper software and compared with the reference data.The results obtained reveal that the DRTK2+GCP combination(RMSE xyz=0.062 m)ensures more consistent accuracy,particularly in rugged terrain where acquisition conditions are more complex.PPK(RMSE xyz=0.046 m)provides better results in a non-rugged area,with simpler implementation.These results offer a better understanding of the advantages and limitations of these three GNSS positioning techniques applied to drone photogrammetry.
