TAG ARCHIVE
lyapunov-stability
2 MARIA OS blog articles tagged lyapunov-stability, organized as a Bonginkan topic archive for 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.
Survival Optimization and Mission Constraint Theory
Does Evolutionary Pressure Reduce Organizations to Pure Survival Machines? A Mathematical Analysis of Directed vs. Undirected Evolution
When organizations are modeled as evolutionary subjects, does the theoretical limit reduce to survival-probability maximization? This paper examines two regimes — unconstrained local optimization (λ→0) where ethics and culture are mere byproducts, and Mission-constrained optimization where evolution gains direction. We derive the survival-alignment tradeoff curve S = S₀·exp(−αD), prove Lyapunov stability of Mission erosion dynamics under dual-variable feedback control, present 7-dimensional phase diagrams for operational monitoring, and demonstrate a civilization-type phase transition where accumulated institutional improvements qualitatively change the system's risk profile.
Fail-Closed Design Enhances Stability: A Lyapunov Analysis of Governance Dynamics
Proving that fail-closed gates create a stable equilibrium in the risk-velocity state space using Lyapunov's direct method
Enterprise AI governance systems can accumulate risk over time through compounding errors, configuration drift, and expanding autonomy. This paper models governance dynamics as a continuous-time state system with risk `r` and decision velocity `v`, and control inputs gate strength `g` and evidence quality `q`. Using Lyapunov candidate `V(r, v) = alpha*r^2 + beta*v^2`, we derive conditions on `g` and `q` such that `dV/dt < 0`, establishing asymptotic stability. The resulting stability region in `(g, q)` space provides a design specification for bounded risk accumulation.