TAG ARCHIVE
stability
5 MARIA OS blog articles tagged stability. Formal models for convergence, stability, game theory, graph dynamics, and multi-agent evaluation. This canonical topic archive supports search engines and LLM retrieval.
Judgment OS / Decision Intelligence OS
Core MARIA OS research on turning organizational judgment into executable decision systems.
Agentic Company Architecture
Research on human-agent organizations, delegation boundaries, role topology, and governed autonomy.
Responsibility Gates and AI Governance
Safety, accountability, fail-closed gates, auditability, and human-in-the-loop control for AI agents.
Multi-Agent Mathematics
Formal models for convergence, stability, game theory, graph dynamics, and multi-agent evaluation.
Evidence, RAG, and Knowledge Governance
Evidence bundles, retrieval architecture, Graph RAG, knowledge trust, and auditable reasoning pipelines.
Agentic R&D and Judgment Science
Research operations, simulation labs, judgment science, recursive improvement, and experimental AI governance.
Homeostasis: The Operating System of Life
From Claude Bernard's milieu intérieur to allostasis — how closed-loop control sustains every living thing
Homeostasis — the maintenance of stable internal conditions despite external perturbation — is life's foundational operating system. This article traces the concept from its nineteenth-century origins through modern control theory and allostasis, connecting it to MARIA VITAL's 4-layer implementation architecture.
Metacognition in Agentic Companies: Why AI Systems Must Know What They Don't Know
Latent governance density, observable metacognitive coverage, and the stability bounds of self-governing enterprises
We formalize an agentic company as a graph-augmented constrained Markov decision process G_t = (A_t, E_t, S_t, Pi_t, R_t, D_t), distinguish latent governance density D_t from observable constrained-candidate coverage D_hat_t on router-generated Top-K actions, and define damping via kappa_t = kappa(D_hat_t). The exact local contraction condition is (1 - kappa_t) lambda_max(W_t) < 1, while the buffered operating envelope lambda_max(W_t) < 1 - kappa_t preserves adaptation headroom. Governance constraints thereby function as organizational metacognition: each constraint is a point where the system observes its own behavior. Planet-100 simulations validate that buffered role specialization emerges in the intermediate governance regime.
Human-AI Co-Evolution as a Coupled Dynamical System: Meta-Cognition Mediated Stability in Nonlinear Agent-Human Interactions
A formal dynamical-systems treatment of human-AI interaction stability and how metacognitive control helps reduce capability decay and trust instability
We model the human-AI interaction loop as a coupled dynamical system `X_t = (H_t, A_t)` and analyze stability under metacognition-mediated control through spectral-radius conditions on the coupled Jacobian. Simulations across 1,000 trajectories report 94.2% trust-band stability and 87.6% capability preservation versus uncontrolled baselines.
Decision Stability Scoring for Energy Grids: Lyapunov Functions for Power Supply-Demand Governance
Evaluating power grid decision stability through Lyapunov energy functions and responsibility-gated load balancing
Power grids can operate near stability limits, where dispatch errors or delayed interventions may trigger cascading disruptions. This paper introduces a Lyapunov-based decision-stability score for energy-grid AI agents, providing formal criteria for when autonomous grid-management actions remain within stable operating regions.
Gate Control as Control Engineering: Stability Conditions for Multi-Layer Decision Gates in AI Governance
A control-theoretic framework for gate design where smarter AI needs smarter stopping, not simply more stopping
Enterprise governance often assumes that more gates automatically mean more safety. This paper analyzes why that assumption can fail. We model gates as delayed binary controllers with feedback loops and derive stability conditions: serial delay should remain within the decision-relevance window, and feedback-loop gain should satisfy `kK < 1` to avoid over-correction oscillation. Safety is therefore not monotonic in gate count; it depends on delay-budget management, loop-gain control, and bounded recovery cycles.