Methods and systems for locating a chemical source include cross-correlating chemical concentration data from pairs of positions using a processor to determine an average velocity vector for a group of positions that averages away turbulence contributions. A convergence region is determined based on multiple average velocity vectors to determine a chemical source location.

Methods and systems for locating a chemical source include cross-correlating chemical concentration data from pairs of positions using a processor to determine an average velocity vector for a group of positions that averages away turbulence contributions. A convergence region is determined based on multiple average velocity vectors to determine a chemical source location.

System and method for synthesizing a controller for a dynamical system includes a feeder neural network trained to estimate an ordinary differential equation (ODE) from time series training data (X) of a trajectory having embedded angular data and configured to learn dynamics of a physical system by encoding a generalization of a Hamiltonian representation of the dynamics using a constant external control term (u). A neural ODE solver receives the estimate of the ODE from the feeder neural network and synthesizes a controller to control the system to track a reference configuration.

System and method for synthesizing a controller for a dynamical system includes a feeder neural network trained to estimate an ordinary differential equation (ODE) from time series training data (X) of a trajectory having embedded angular data and configured to learn dynamics of a physical system by encoding a generalization of a Hamiltonian representation of the dynamics using a constant external control term (u). A neural ODE solver receives the estimate of the ODE from the feeder neural network and synthesizes a controller to control the system to track a reference configuration.

A hybrid analog-digital electronic circuit for solving non-linear programming problems includes an analog circuit and a digital microcontroller interconnected to each other by an analog-to-digital converter (ADC) and a digital-to-analog converter (DAC). The analog circuit physically realizes a nonlinear programming problem (NLP) where voltages in the analog circuit represent variables in the NLP, and the interconnection of the analog circuit components enforce Karush-Kuhn-Tucke r (KKT) conditions on the variables, such that the voltages in the analog circuit that represent the variables of the NLP naturally converge to an optimal and feasible solution of the NLP. The digital microcontroller sets the voltages in the analog circuit at particular nodes in the analog circuit through the DAC, where the voltages set at the particular nodes determine a precise cost function to be minimized by the analog circuit, where the voltages set at the particular nodes are computed by the digital microcontroller based on measurements obtained from the analog circuit through the ADC.

Methods and systems for locating a chemical source include measuring chemical concentration with sensors at a plurality of different positions. Measurements from pairs of positions are cross-correlated to determine an average velocity vector for a group of positions. A convergence region is determined based on a plurality of average velocity vectors to determine a chemical source location.

Methods and systems for locating a chemical source include measuring chemical concentration with sensors at a plurality of different positions. Measurements from pairs of positions are cross-correlated to determine an average velocity vector for a group of positions. A convergence region is determined based on a plurality of average velocity vectors to determine a chemical source location.

The present invention relates to a method to generate prime numbers on board a portable device, said method comprising the steps of, each time at least one prime number is requested: when available, retrieve results from previously performed derivation calculation or, if not, select a start point for derivation; process derivation calculation to converge towards a prime number; if a prime number is found, store it and restart derivation calculation from a new start point; stop the derivation calculation after a predetermined amount of time; store intermediate results to be used a next time a prime number will be requested; output a stored prime number.

The present invention relates to a method to generate prime numbers on board a portable device, said method comprising the steps of, each time at least one prime number is requested: when available, retrieve results from previously performed derivation calculation or, if not, select a start point for derivation; process derivation calculation to converge towards a prime number; if a prime number is found, store it and restart derivation calculation from a new start point; stop the derivation calculation after a predetermined amount of time; store intermediate results to be used a next time a prime number will be requested; output a stored prime number.

A system, computer-readable medium, and a method to operate a vehicle in a manner that minimizes a cost to travel from an origin to a destination that includes finding the input to a flight control system that minimizes direct operating cost. The approach described herein employs an energy state approximation (ESA).