lqcontrol#

  • Series: lecture-dp

  • File: lectures/lqcontrol.md

  • Audit date: 2026-05-28

  • Categories audited: writing, math, code, jax, figures, references, links, admonitions

  • Overall score: 5.6 / 10

  • Priority: HIGH

Score breakdown#

Category

Score

One-line note

Writing

5/10

Title Case H2/H3 headings throughout; some short paragraphs.

Math

3/10

Apostrophe transpose everywhere; matrices use \left(\begin{array}\right) not bmatrix.

Code

7/10

Unicode Greek; pip-install at top; PEP8 mostly OK; figsize used 5×.

JAX

out of scope

not a JAX lecture.

Figures

5/10

Title-Case 'Time' xlabel (4×); figsize= 5×; 5 static PNG figures used as solutions.

References

7/10

All citations parenthetical via {cite}; no narrative-author cases requiring {cite:t}.

Links

4/10

Two raw markdown links to python-advanced.quantecon.org instead of {doc} form.

Admonitions

8/10

Exercises use labels + exercise-start/solution-start correctly; :class: dropdown on solutions.

Issues#

Critical#

None found.

High severity#

  • [qe-math-002] — Apostrophe ' used as transpose throughout the file (e.g. x_t' R x_t, u_t' Q u_t, A' P_T A, B' P_T B). Lines: 100, 253, 271, 293, 316, 480, 494-495, 503, 513-514, 524, 536, 600, 809, 940. Count: 70+ occurrences.

  • [qe-math-003] — Matrices use \left( \begin{array}{...} ... \end{array} \right) rather than bmatrix. Lines: 170, 176, 182, 188, 195, 213, 221, 229, 237, 623, 631, 976, 986, 996, 1006, 1028, 1038. Count: 17 array-matrix blocks.

  • [qe-writing-006] — Systemic Title Case on H2/H3 headings. Examples: ### The Law of Motion (84), ## Optimality -- Finite Horizon (298), ### The Objective (305), ### Time-Varying Parameters (785), ### Adding a Cross-Product Term (800), ### Infinite Horizon (842), ### Certainty Equivalence (910), ## Further Applications (920), ### Application 1: Age-Dependent Income Process (923). Count: 12+ headings.

Medium severity#

  • [qe-math-010 (proposed)] — Expectation uses bare \mathbb E without braces (line 100). Count: 1.

  • [qe-fig-006] — Title-Case xlabel('Time') on 4 figures. Lines: 702, 770, 1348, 1497. Should be lowercase 'time'.

  • [qe-fig-001] — figsize= set 5 times. Lines: 683, 753, 1330, 1479, 1542. Most plots do not need an explicit figsize.

  • [qe-fig-002] — 5 static PNG figures referenced (solution_lqc_ex1.png, solution_lqc_ex2.png, solution_lqc_ex3_g1.png, solution_lqc_ex3_g10.png, solution_lqc_ex3_g50.png). Lines: 1051, 1121, 1197, 1201, 1205. Prefer code-generated figures.

  • [qe-link-002] — Two raw markdown links to python-advanced.quantecon.org (lu_tricks.html, classical_filtering.html) where {doc} with intersphinx is preferred. Line: 54. Count: 2.

  • [qe-writing-001] — Many multi-sentence paragraphs (e.g. 138-140, 156-162).

Low severity#

  • [qe-writing-005] — “Riccati equations” (line 53) bolded but never formally introduced as a definition.

Strengths#

  • Lecture title correctly Title Case.

  • Equation labels and {eq} cross-references used cleanly throughout.

  • No \tag, no align inside $$, no i.i.d..

  • Greek letters in narrative and code use plain Unicode where relevant.

  • pip install correctly placed at top of lecture.

  • Exercises use proper exercise-start/solution-start gating with labels.

  • Solutions wrapped in :class: dropdown.