A novel mathematical development based on tensor algebra has been applied to the Kalman Filter and to Linear Quadratic Gaussian control. This approach has been tested numerically on a swarm of satellites. Our embodiment of tensor calculus replaces the conventional matrix algebra allowing the design and evaluation of today challenging multi-agent and multi-sensors systems.
Multilinear Dynamical Systems (MLDS): Applications to Tensor Kalman Filter and Tensor LQG / Farina, Alfonso; Carletta, Stefano; Palmerini, Giovanni Battista; De Angelis, Francesco. - (2024), pp. 391-396. ( 2024 IEEE International Workshop on Technologies for Defense and Security, TechDefense 2024 Naples, Italy ) [10.1109/techdefense63521.2024.10863198].
Multilinear Dynamical Systems (MLDS): Applications to Tensor Kalman Filter and Tensor LQG
Carletta, Stefano;Palmerini, Giovanni Battista;
2024
Abstract
A novel mathematical development based on tensor algebra has been applied to the Kalman Filter and to Linear Quadratic Gaussian control. This approach has been tested numerically on a swarm of satellites. Our embodiment of tensor calculus replaces the conventional matrix algebra allowing the design and evaluation of today challenging multi-agent and multi-sensors systems.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
