Validate Closed Loop Stability

Accept or reject this bounded closed-loop model under the supplied stability criteria.

RQM-operated service.

Version: 1.0.0 · Registry observed: 2026-08-23T20:01:22.843Z · current

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Inputs and outputs

Input contract

{
  "$defs": {
    "StabilityCriteria": {
      "additionalProperties": false,
      "properties": {
        "maximum_spectral_radius": {
          "exclusiveMinimum": 0,
          "maximum": 10,
          "title": "Maximum Spectral Radius",
          "type": "number"
        },
        "maximum_determinant_magnitude": {
          "exclusiveMinimum": 0,
          "maximum": 10,
          "title": "Maximum Determinant Magnitude",
          "type": "number"
        }
      },
      "required": [
        "maximum_spectral_radius",
        "maximum_determinant_magnitude"
      ],
      "title": "StabilityCriteria",
      "type": "object"
    }
  },
  "additionalProperties": false,
  "properties": {
    "discrete_state_matrix": {
      "maxItems": 2,
      "minItems": 2,
      "prefixItems": [
        {
          "maxItems": 2,
          "minItems": 2,
          "prefixItems": [
            {
              "type": "number"
            },
            {
              "type": "number"
            }
          ],
          "type": "array"
        },
        {
          "maxItems": 2,
          "minItems": 2,
          "prefixItems": [
            {
              "type": "number"
            },
            {
              "type": "number"
            }
          ],
          "type": "array"
        }
      ],
      "title": "Discrete State Matrix",
      "type": "array"
    },
    "criteria": {
      "$ref": "#/$defs/StabilityCriteria"
    }
  },
  "required": [
    "discrete_state_matrix",
    "criteria"
  ],
  "title": "StabilityRequest",
  "type": "object"
}

Output contract

{
  "additionalProperties": false,
  "properties": {
    "outcome": {
      "enum": [
        "accept",
        "reject",
        "indeterminate"
      ],
      "title": "Outcome",
      "type": "string"
    },
    "eigenvalues": {
      "items": {
        "additionalProperties": {
          "type": "number"
        },
        "type": "object"
      },
      "title": "Eigenvalues",
      "type": "array"
    },
    "spectral_radius": {
      "title": "Spectral Radius",
      "type": "number"
    },
    "determinant_magnitude": {
      "title": "Determinant Magnitude",
      "type": "number"
    },
    "rule_results": {
      "additionalProperties": {
        "type": "boolean"
      },
      "title": "Rule Results",
      "type": "object"
    },
    "limitations": {
      "items": {
        "type": "string"
      },
      "title": "Limitations",
      "type": "array"
    },
    "result_digest": {
      "pattern": "^[a-f0-9]{64}$",
      "title": "Result Digest",
      "type": "string"
    }
  },
  "required": [
    "outcome",
    "eigenvalues",
    "spectral_radius",
    "determinant_magnitude",
    "rule_results",
    "limitations",
    "result_digest"
  ],
  "title": "StabilityResult",
  "type": "object"
}

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