{"artifact_id":"L1-426","layer":"L1","title":"Linear State-Space System Analysis","domain":"Control Theory","sub_domain":"Linear systems","physics_fingerprint":{"L_DAG":2.5,"title":"Linear State-Space System Analysis","domain":"Control Theory","carrier":"N/A","primitives":["E.eigensolve","S.observability.gramian","O.lyapunov.stability"],"sub_domain":"Linear systems","noise_model":"gaussian","problem_class":"parameter_estimation","solution_space":"state_vector","difficulty_delta":3,"integration_axis":"time","sensing_mechanism":"state_space_output_measurement"},"observable_profile":{"metric":"state_RMSE_normalized","regime":"Existence of the recovered state_vector is guaranteed within the declared Omega bounds. Uniqueness holds on the measurement-supported subspace; out-of-support modes are controlled by declared priors. Stability is conditionally stable (kappa_eff ~= 50); model_order_mismatch dominates the stability cliff; the remaining mismatch parameters contribute higher-order bias terms. Gaussian sets the irreducible data-fidelity floor.","secondary":"output_prediction_RMSE"},"size_tiers":{"center_spec":{"omega":{"noise_SNR_dB":30,"system_order_n":5,"sampling_rate_Hz":1000,"condition_number_kappa":100},"input_format":"measurement_only","problem_class":"parameter_estimation","forward_operator":"state_space_output_measurement","epsilon_fn_center":"0.05 state_RMSE_normalized"},"omega_bounds":{"noise_SNR_dB":[0,60],"system_order_n":[2,50],"sampling_rate_Hz":[10,100000.0],"condition_number_kappa":[10,1000000.0]},"epsilon_bounds":{"state_RMSE_normalized":[0.001,0.5]},"allowed_problem_classes":["parameter_estimation"],"allowed_omega_dimensions":["system_order_n","condition_number_kappa","noise_SNR_dB","sampling_rate_Hz"],"allowed_forward_operators":["state_space_output_measurement"]},"hardness_fn":{"type":"epsilon_fn","delta":3,"kappa":1000,"metric":"state_RMSE_normalized"},"initiator_dataset":[{"name":"primary","weight":1.0,"ipfs_cid":null,"license_hash":null}],"status":"testnet","staked_pwm":0.0,"chain_hash":"0x0f32999d9f39215efc5d2aa3148591be18774780792deff2c9d41328f738731f","chain_tx_hash":"0x4b41989773fb14f4ca09a6dfdcc5b2cbb43d2a59112bc58e84d1b3bf4441114e","chain_block":41555240}