linear3d_system {ARGOS}

Linear 3D System

Description

Simulates a three-dimensional linear dynamical system with optional noise.

Usage

linear3d_system(n, init_conditions, dt, snr = Inf)

Arguments

n

Number of time points (rounded to the nearest integer).

init_conditions

Initial conditions as a numeric vector of length 3.

dt

Time step between observations.

snr

Signal-to-noise ratio (in dB). Use Inf for no noise.

Details

This function simulates a three-dimensional linear dynamical system. It uses the specified time step and initial conditions to compute the system's state over time. If a non-Infinite SNR is provided, Gaussian noise is added to the system.

Value

A numeric matrix representing the system's state over time. Each row corresponds to a time point, and each column represents a variable.

Examples

# Simulate a 3D linear system with 100 time points and no noise
data <- linear3d_system(n = 100, init_conditions = c(1, 2, 3), dt = 0.01, snr = Inf)