func (g *StateSpaceGenerator) discretize() ([][]float64, [][]float64) · Simple Euler discretization: Ad

Read the equation

This relation defines Simple Euler discretization: Ad in the source section “func (g *StateSpaceGenerator) discretize() ([][]float64, [][]float64) · Simple Euler discretization: Ad”. It specifies the displayed relationship between the named quantities or parameters. Its interpretation depends on the source’s stated variables and conditions; this record does not assign an unprovided physical or cognitive meaning to them.

Terms & definitions

The recovered passage does not supply a separate symbol table. Read the source context for the notation used in this version; familiar letters may carry different meanings in other builds.

How it works

1. Read Simple Euler discretization: Ad as the quantity being defined or updated by this relation.

2. Substitute the source-defined variables or recorded values and follow the displayed arithmetic and indexing exactly.

3. Use this version’s variable definitions and update order. The same symbol may be assigned a different meaning in another build.

Assumptions & limits

• This source expression was recovered from the pinned code revision. Its presence does not establish that the associated program was built, run, or scientifically validated.

Original context

	g.D = make([]float64, outputDim)

	return nil
}

// discretize computes discretized state matrices
func (g *StateSpaceGenerator) discretize() ([][]float64, [][]float64) {
	// Simple Euler discretization: Ad = I + dt*A, Bd = dt*B
	Ad := make([][]float64, g.stateSize)
	for i := range Ad {
		Ad[i] = make([]float64, g.stateSize)
		for j := range Ad[i] {
			if i == j {
				Ad[i][j] = 1.0 + g.dt*g.A[i][j]
			} else {
				Ad[i][j] = g.dt * g.A[i][j]
			}
		}

Simple Euler discretization: Ad = I + dt*A, Bd = dt*B

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