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RQM Validate Closed Loop Stability
x402
RQM Validate Closed Loop Stability is a paid API for AI agents from jobs.rqmtechnologies.com, paid per call via x402, $0.01/call, status unknown (last checked 2026-09-13).
Accepts or rejects a 2×2 discrete closed-loop state matrix against caller-supplied spectral radius and determinant magnitude stability criteria
Price / call$0.01
Success—
StatusUnknown
How this service works
Problem: Accept or reject this bounded closed-loop model under the supplied stability criteria. Input: JSON with discrete state matrix, criteria. Result: eigenvalues, spectral radius and rule results. Limits: Software/model evidence only; 65536 request bytes; 5 s execution.
Output
A structured accept/reject verdict indicating whether the supplied 2×2 discrete state matrix satisfies both the maximum spectral radius and maximum determinant magnitude thresholds, along with the computed values for each criterion.
Example use cases
Validating a discrete PID controller
“I've computed a closed-loop state matrix [[0.8, 0.05], [0.1, 0.75]] for my PID controller — can you check whether it's stable with a spectral radius limit of 1.0 and a determinant magnitude limit of 0.99?”
Pre-deployment stability gate for a robot arm
“Before we push this robot arm controller update, validate the closed-loop state matrix [[0.6, 0.2], [0.15, 0.55]] against stability criteria: max spectral radius 0.95, max determinant magnitude 0.85.”
Research comparison of controller designs
“I'm comparing two controller designs — please check if design A with state matrix [[0.4, 0.3], [0.1, 0.5]] passes stability with spectral radius under 0.9 and determinant magnitude under 0.8.”
Technical details
Endpoint
POSThttps://jobs.rqmtechnologies.com/x402/buyer-jobs/robotics.validate-closed-loop-stability.v1When to prefer
Use this endpoint when you need a lightweight, bounded validation pass/fail decision on a 2×2 discrete-time closed-loop state matrix with explicit numerical stability criteria (spectral radius and determinant magnitude). Prefer it over general-purpose numerical libraries when you need a verifiable, paid, auditable stability check with idempotency support in an agentic workflow. Do not use for live hardware actuation, physical safety certification, or systems larger than 2×2.
Side effects
- Matrix not 2×2 — returns validation error if prefixItems constraints are violated
- Criteria values out of range — spectral radius or determinant must be in (0, 10]
- Invalid idempotency key format — must match alphanumeric pattern
- max_total_price insufficient for $0.01 USDC cost
- Malformed request object missing required fields discrete_state_matrix or criteria
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| request | object | |
| schema_version | — | |
| idempotency_key | string | |
| max_total_price | string |
Tags
x402
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