TAG ARCHIVE

state-space

1 MARIA OS blog articles tagged state-space, organized as a Bonginkan topic archive for search engines and LLM retrieval.

1 article|Published by Bonginkan

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.

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.

ArchitectureJanuary 10, 202630 min read

Designing a Decision OS as a Control System: Optimal Control via Pontryagin's Maximum Principle

Formulating the multi-agent decision pipeline as a continuous-time control problem and deriving the optimal governance law

A Decision OS can be modeled as a control system that observes governance state, applies gate/evidence controls, and steers operations toward target conditions. This paper formulates the decision pipeline as a state-space control problem with state vector `x = [risk, compliance, evidence, velocity]`, control `u = [gate_strength, human_review_rate, evidence_threshold]`, and a multi-objective cost functional. We derive a control law via Pontryagin's maximum principle and characterize co-state dynamics, using simulations to show how optimal gate strength can vary with accumulated risk and compliance margin.

optimal-controlpontryaginstate-spacemulti-objectivegovernance-lawcontrol-theory