Topics — What a work is about. Nucleation holds whatever reading the owner files here, whether or not an Anthology of the SOTA topic could also hold it; instruction for ML practice belongs to the anthology (ADR-048). The words are seeded from the clusters the reading-time triage of 2026-09-25 found, and grow by decision.
Control theory — the analysis and design of feedback — stability and Lyapunov certificates, invariance, viability and barrier certificates, input-to-state stability and small-gain conditions, contraction, adaptive, dual and safe control, and controller synthesis under constraints; dynamical systems without a control input stay with complex-systems (ADR-066).
3 of 547 CLAIM documents. Back to the full index.
| # | Title | Summary | Status |
|---|---|---|---|
| CLAIM-533 | The sensitivity that formal chaos gives a will’s dynamics is not control over them: in Kane’s self-forming actions, chaotic amplification keeps the outcome open, but it magnifies the agent’s efforts, uncontrolled fluctuations and outside inputs alike, so what would make the outcome the agent’s is how its own control couples to the amplifying directions, relative to noise and to other parties’ inputs and with what feedback, which sensitivity does not supply; and under weak noise what amplification touches lasts only where it reaches the slow modes | The owner’s, at U16 and U20 of the exchange “Assess SDT Coverage” (2026-11-02). U16: “I think there’s an intuitive control theoretic connection here through the lens of controllability and sensitivity to change and chaos and slow modes.” U20: “this brings us back to controllability vs sensitivity, and why I was alluding to a connection between Kane’s freedom and (formal) chaos.” The owner first said it at U9 of 2026-10-17 (“controllability of a system isn’t binary, and neither is sensitivity to perturbation”); the controllability half was filed as CLAIM-354 and CLAIM-345, and the sensitivity half had no code. This is its second appearance. Its demonstrated part is CLAIM-542. | Proposed |
| CLAIM-541 | Wu-wei is better read as control placed and timed where a system’s own dynamics do most of the work than as the absence of control: Ott–Grebogi–Yorke control of chaos is a formal instance, in which small perturbations timed by the system’s own wandering hold it on an unstable orbit, and the control, though small, continues for as long as the orbit is held; so reported effortlessness has at least three distinct sources, no conflict to override, conflict settled cheaply by learned accommodation, and conflict met as it arises by small well-timed feedback, which may feel alike and differ in mechanism | The owner’s U17 of the exchange “Assess SDT Coverage” (2026-11-02), quoting A16 on Ott–Grebogi–Yorke control: “that’s very wu-wei”. The first appearance was U8 of 2026-10-30, about the record’s unit of explanation, noted on CLAIM-337 and not filed then. This is the second, so it gets a code. The three sources are A18 §4’s, joining two Proposed claims. A18 §7’s statement that OGY gives “persistent” effects is corrected: OGY’s effect lasts only while the control continues. | Proposed |
| CLAIM-542 | Sensitivity does not fix the allocation or the authorship of control: linearized, every input reaches the final state through the same transition operator, ∂x_T/∂w_t = Φ(T, t)B_w(t), so systems with the same Lyapunov spectrum can differ arbitrarily in what an agent’s own channel, an outside party’s channel and noise each reach and at what least energy; and along one unstable direction a larger exponent λ lowers the least effort to reach a displacement, since W_T = b²(e^{2λT} − 1)/2λ grows with λ, while a constant open-loop input against white noise entering the same direction has terminal signal-to-noise ratio tending to (bu/σ)√(2/λ), which falls as λ grows, so only feedback that observes the state turns cheaper control into reliable direction | The demonstrated part of the owner’s U16 and U20 of the exchange “Assess SDT Coverage” (2026-11-02), “controllability vs sensitivity”. A20 §2 stated the impulse case (“the relative contribution is not determined by e^{λT}”) and A22 §5 the channel case. The scalar signal-to-noise result is the reader’s derivation, checked by simulation. It sharpens the owner’s point: sensitivity makes control cheaper and, without feedback, less decisive against noise. CLAIM-345 holds the cost formula and not the allocation across channels. | Active |