TheoryFebruary 15, 202642 min read

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.

metacognitionco-evolutiondynamical-systemstrust-dynamicsMARIA-OSstabilitycoupled-systemsjacobian
TheoryFebruary 15, 202642 min read

Human-AI Co-Evolution as a Constrained Optimal Control Problem: Designing Socially Adaptive Agentic Operating Systems

A rigorous optimal control framework for governing human-AI co-evolution under multi-objective cost functions, partial observability, and hard safety constraints

We reformulate human-AI co-evolution as a constrained optimal-control problem. By defining a multi-objective cost function over task quality, human capability preservation, trust stability, and risk suppression, and solving Bellman-style recursions under hard constraints, we characterize co-evolution policies that Meta Cognition can approximate in MARIA OS. We extend the framework to POMDP settings for partial observability of human cognitive states and derive conditions linked to long-run social stability.

metacognitionoptimal-controlbellman-equationPOMDPco-evolutionMARIA-OSmulti-objectivesocial-stability