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Control Theory

Admissible Control

Definition

Admissible Policy

Definition

Affine Control System

Arbitrary assignment of Eigenvalues

Definition

Average Infinite Horizon Optimization

Definition

Barrier Certificate

Belief MDP

Theorem

Bellman's Optimality Principle

Theorem

Blackwell's Irrelevant Information Theorem

Bounded-Lipschitz

Definition

Class Κ

Theorem

Conditions for PBP Optimality to be Global

Definition

Control Barrier Function

Theorem

Controllability & Observability w.r.t. Riccati

Controllability Canonical Form

Controllability Gramian

Controllability Matrix

Controllability Normal Form

Controllable

Definition

Controlled Markov Chain

Design of Observer-based controllers

Detectable

Theorem

Discounted Cost

Definition

Discounted Infinite Horizon Optimization

Driftless Control System

Definition

Dynamic

Dynamic Programming

Eigenvalue assignment for LTIC systems

Equivalent Realization

Theorem

Existence for N-agent Team

Extended Kalman Filter

Filter Stability

Definition

Finite Horizon Optimization

Finite-Horizon Optimal Control Problem

Fixed endpoint problem

Definition

Forward Invariant

Definition

Four Hypotheses

Free endpoint problem

Functional

Global Asymptotic Stability

Hamilton-Jacobi-Bellman Equation

Hurwitz Matrix

Definition

Information Function

Definition

Information Signal

Definition

Information Structure

Intro to Safe Control

Definition

Invariant Set

Kalman Filter

Laplace Transform

Theorem

Linear Quadratic Problem

Linear Time Invariant Control System

Linear Time Varying Control System

Linearization of Nonlinear Control System

Luenberger Observer

Definition

Markov Decision Process

Definition

Markov Policy

Definition

Markov Policy induces Markov Chain

Theorem

Markov Policy is Good Enough

Definition

Measurable Selection Conditions

Minimal

Definition

Nash Equilibrium

Definition

Near Optimal

Observability Gramian

Observability Matrix

Observability Normal Form

Observability Problem

Observable

Definition

Optimal

Theorem

Optimality of Q Learning Algorithm

Partially Observable Markov Decision Process

Picard-Lindelöf Theorem

Definition

Policy

Theorem

Policy Relationships

Definition

Polish space

Probabilistic Safety

Proper Function

Theorem

Properties of LGQT Cost

Definition

Q-Learning

Definition

Quadratic Gaussian Team

Theorem

Radner Krainak Theorem

Rational Function

Realizable

Realization

Realization Problem

Theorem

Riccati Equation

Definition

Safe Set

Definition

Sequential

Stabilizable

Definition

Standard Quadratic Team

State Observer Problem

Definition

Static

Definition

Static Quadratic Team

Theorem

Stationary Conditions for Team Optimality

Definition

Stationary Policy

Theorem

Stationary Radner Krainak Theorem

Definition

Stationary Team Policy

Definition

Strictly Causal

Definition

Team

Definition

Team-Optimal Solution

Definition

Time Consistent

Total Variation

Transfer Function

Transition Matrix

Theorem

Uniqueness for N-agent Team

Value Function

Theorem

Value Iteration Algorithm

Definition

Wasserstein Convergence

Theorem

Wasserstein distance metrizes Wasserstein space

Definition

Wasserstein metric

Definition

Wasserstein space

Definition

Weak convergence

Definition

Weak convergence in Wasserstein space

Theorem

Weierstrass Theorem

Weighting Pattern

Definition

Witsenhausen's Intrinsic Model

Definition

ε-Optimal