История изменений

Вот глава по тематике:

Chapter 2. The Pontryagin Maximum Principle: From Necessary Conditions to the Construction of an Optimal Solution

Как раз примерно то же самое рассматривается, но в теоретическом аспекте, без применения вообще к управлению DC-DC.

Proposition 2.5.1. If all eigenvalues of the matrix A are real, then optimal controls for the single-input linear control system

[...]

are bang-bang with at most n − 1 switching times.

bang-bang — это как раз и есть твое управление ключом без промежуточных значений.

А вот про комплексные характеристические числа в конце:

2.6.4 The Harmonic Oscillator

We close this section with an example of a matrix A that has complex eigenvalues. Because of the inherent oscillatory character of these systems, the number of switchings no longer can be bounded.

[...]

Thus again optimal controls are bang-bang, but now we cannot give an a priori bound on the number of switchings. In fact, depending on the initial condition, this number can be arbitrarily large.

Вот глава по тематике:

Chapter 2. The Pontryagin Maximum Principle: From Necessary Conditions to the Construction of an Optimal Solution

Как раз примерно то же самое рассматривается

Proposition 2.5.1. If all eigenvalues of the matrix A are real, then optimal controls for the single-input linear control system

[...]

are bang-bang with at most n − 1 switching times.

bang-bang — это как раз и есть твое управление ключом без промежуточных значений.

А вот про комплексные характеристические числа в конце:

2.6.4 The Harmonic Oscillator

We close this section with an example of a matrix A that has complex eigenvalues. Because of the inherent oscillatory character of these systems, the number of switchings no longer can be bounded.

[...]

Thus again optimal controls are bang-bang, but now we cannot give an a priori bound on the number of switchings. In fact, depending on the initial condition, this number can be arbitrarily large.