Concepts

$\D$-Stability $\H_\infty$ Optimal Control $\Hinf$ Norm $\Htwo$ Norm $\Htwo$ Optimal Control $\sigma$-Algebra $p$-Norm $z$-Transform $z$-Transform Pairs $z$-Transform Properties A* Search Absolute Stability Accelerated Gradient Method Actor–Critic Method Actuator Adaptive Control Adaptive Moment Estimation Algorithm Adaptive Restart Additive Operator Additivity Adjacency Matrix Adjoint Advance Operator Advantage Function Affine Function Algebra Algebraic Multiplicity Algebraic Riccati Equation Algorithm Analysis Aliasing Alternating Direction Method of Multipliers Alternatives Amplitude Modulation Analysis Angle of Complex Number Angular Frequency Anticausal System Antiderivative ARX Model Asynchronous Method Autonomous System Average Absolute Value Average Consensus Average Reward Backstepping Balanced Realization Balanced Truncation Banach Space Bandpass Filter Bandstop Filter Bang-Bang Control Barzilai–Borwein Stepsize Basis Bayes Filter Behavior Cloning Behavioral Systems Theory Belief Belief MDP Belief Space Bellman Equation Bernoulli Distribution BIBO Stability Bifurcation Bilevel Optimization Bilinear Transform Binary Bayes Filter Binary Signal Binomial Distribution Biproper Transfer Function Block Diagonal Matrix Block-Diagonal System Bode Plot Boids Bounded Linear Operator Bounded Operator Bounded Signal Boundedness Breadth-First Search Bregman Divergence Broyden-Fletcher-Goldfarb-Shanno Algorithm Butterworth Filter Calculus Calculus of Variations Capacitor Cart-Pole Causal System Causality Certainty Equivalence Chaos Characteristic Equation Characteristic Polynomial Circuit Circuit Element Classical Mechanics Coachbot Codomain Column Space Compact Trigonometric Fourier Series Comparison Function Complementary Filter Complementary Subspaces Completely Positive Matrix Completing the Square Complex Analysis Complex Conjugate Complex Exponential Signal Complex Number Complex Plane Complex Power Composite Adaptation Computer Vision Concept Condition Number Conditional Independence Conditional Probability Conditional Value-at-Risk Cone Cone Factorization Problem Cone Program Configuration Conjugate Function Conjugate Gradient Method Consensus Consensus Optimization Constrained Markov Decision Process Continuous Function Continuous Random Variable Continuous Time Continuous-Time Complex Exponential Signal Continuous-Time Controllability Gramian Continuous-Time Exponential Signal Continuous-Time Fourier Series Continuous-Time Impulse Signal Continuous-Time LTI System Continuous-Time LTV System Continuous-Time Lyapunov Equation Continuous-Time Observability Gramian Continuous-Time Signal Continuous-Time Sinusoid Continuous-Time Steady-State Kalman Filter Continuous-Time Step Signal Continuous-Time System Control Control Affine Control Barrier Function Control Hamiltonian Control Lyapunov Function Control Policy Control-Affine System Controllability Controllability Gramian Controllability Matrix Controllable Canonical Form Controllable Decomposition Controllable State Controllable Subspace Convergence Rate Convergent Signal Convex Analysis Convex Extension Convex Function Convex Hull Membership Problem Convex Optimization Convex Optimization Control Policy Convex Optimization in Control Convex Process Convex Program Convex Set Convolution Correlation Coefficient Costate Covariance Crazyflie Critical Point Cumulative Distribution Function Curl Cutoff Frequency Damping Ratio Data Association Data-Driven Control Data-Driven Optimization DC Gain DC Microgrid Deadly Triad Decaying Signal Decibel Deep Q-Network Del Operator Delay Dependent Source Depth-First Search Derivative Describing Function Detectability Determinant Deterministic Policy Gradient Diagonal Canonical Form Diagonal Form Diagonal Matrix Diagonalizable Matrix Difference Equation Differential Dynamic Programming Differential Equation Differential Game Differential Geometry Digital Control Digital Signal Processing Dijkstra's Algorithm Dimension Dimensionality Direct Collocation Direct Data-Driven Control Direct Form Direct Sum Direction Field Directional Derivative Discipline Discrete Bayes Filter Discrete Fourier Transform Discrete Planning Discrete Probability Space Discrete Random Variable Discrete Time Discrete-Time Complex Exponential Signal Discrete-Time Controllability Gramian Discrete-Time Exponential Signal Discrete-Time Fourier Series Discrete-Time Fourier Transform Discrete-Time Impulse Signal Discrete-Time LTI System Discrete-Time LTV System Discrete-Time Lyapunov Equation Discrete-Time Observability Gramian Discrete-Time Signal Discrete-Time Sinusoid Discrete-Time Steady-State Kalman Filter Discrete-Time Step Signal Discrete-Time System Discriminant Dissipativity Theory Distributed Control Distributed Gradient Descent Distributed Inexact Gradient Tracking Distributed Optimization Distributed Optimization Algorithm Distribution Distributionally Robust Optimization Divergence Divergent Signal Domain Dominant Pole Douglas-Rachford Algorithm Dual Ascent Dual Control Dynamic Average Consensus Dynamic Mode Decomposition Dynamic Output Feedback Dynamic Programming Dynamic System Dynamics Eigenfunction Eigenpair Eigenspace Eigensystem Realization Algorithm Eigenvalue Eigenvector Electric Current Electric Power Eligibility Trace Empirical Risk Minimization Energy Energy Signal Entropy Epsilon-Greedy Policy Equation Equilibrium Point Equivalent Norms Equivalent Realization Error-State Kalman Filter Estimation Estimator Estimator Consistency Euler Integration Euler's Number Even Signal Event-Triggered Control Exact First-Order Algorithm Exact Steady-State Tracking Expectation Expected Sarsa Experience Replay Exploration–Exploitation Trade-Off Exponential Distribution Exponential Fourier Series Exponential Signal Exponential Stability Expression Extended Information Filter Extended Kalman Filter External Stability Extragradient Method Extremum Seeking Control Factor Graph Farka's Lemma Fast Fourier Transform Feature-Based Map Federated Learning Feedback Control Feedback Interconnection Feedback Linearization Feedback Optimization Feedforward Control Feedthrough Matrix Field Filter Finite Impulse Response System Finite-Dimensional System Finite-Dimensional Vector Space First-Order Method First-Order System Fixed-Point Iteration Forced Response Formation Control Forward Search Fourier Series Fourier Transform Fourier Transform Pairs Fourier Transform Properties Frank–Wolfe Method Frequency Frequency Domain Frequency Response Frequency-Domain Inequality Frequency-Selective Filter Frobenius Norm Function Functional Analysis Fundamental Frequency Fundamental Subspaces Gain Gain Scheduling Gauss-Newton Algorithm Gaussian Elimination Gaussian Random Variable Generalized Fourier Series Generalized Policy Iteration Generalized Signal Geometric Multiplicity Geometric Series Geometry Gibbs Phenomenon Gradient Gradient Bandit Algorithm Gradient Descent Gradient Descent–Ascent Gradient Method Gradient Tracking Gradient-TD Method Gram Matrix Gram–Schmidt Process Gramian Graph Graph Laplacian Graph SLAM Greedy Best-First Search Grid Localization Group Hamilton–Jacobi–Bellman Equation Hamiltonian Matrix Hamiltonian Mechanics Hamiltonian System Hankel Matrix Hankel Singular Values Harmonic Heavy Ball Method Hessian Heuristic High-Gain Observer Highpass Filter Hilbert Space Hilbert-Schmidt Operator Histogram Filter History Homogeneity Homogeneous Operator Homogeneous Solution Homogeneous Transformation Hurwitz Matrix Hybrid System Hybrid Time Hyperplane Ideal Filter Identity Matrix Image of a Subspace Imaginary Part Imaginary Unit Imitation Learning Impedance Importance Sampling Impulse Invariance Impulse Response Impulse Signal Independent Random Variables Independent Source Indirect Data-Driven Control Inductor Inequality Inertial Measurement Unit Infinite-Dimensional System Infinite-Dimensional Vector Space Information Information Filter Information Form Information-Theoretic Exact Method Initial Value Problem Injective Linear Map Inner Product Inner Product of Periodic Signals Inner Product Space Input Space Input-Output Model Input-to-State Stability Input–Output Linearization Input–Output Parameterization Integral Integral Absolute Value Integral Control Integral Quadratic Constraint Integrating Factor Integrator Interconnection Interior-Point Method Internal Model Internal Stability Invariant Distribution Invariant Ellipsoid Invariant Set Invariant Subspace Inverse $z$-Transform Inverse Image of a Subspace Inverse Linear Quadratic Regulator Inverse Optimization Involutive Distribution Irreducible Transfer Function Jacobian Joint Distribution Jordan Block Jordan Form Jordan Matrix Kalman Decomposition Kalman Filter Kalman Gain Kernel Regression Kilobot Kinematics Kinetics Knowledge Knowledge Graph Koopman Operator L1 Adaptive Control Lagrange Multiplier Lagrangian Dual Lagrangian Mechanics Laplace Transform Lasso Learning to Optimize Least Squares Least-Squares Temporal Difference Left Inverse Left Null Space Levenberg-Marquardt Algorithm Lie Bracket Lie Derivative Lifting Limit Limit Cycle Line Integral Line Search Linear Algebra Linear Constant-Coefficient Differential Equation Linear Control Linear Fractional Transformation Linear Independence Linear Least Squares Linear Map Linear Matrix Inequality Linear Matrix Inequality Region Linear Operator Linear Parametric Model Linear Program Linear Quadratic Control Linear Quadratic Dissipativity Linear Quadratic Gaussian Control Linear Quadratic Lyapunov Theory Linear Quadratic Regulator Linear State Transformation Linear System Linear Time-Invariant System Linear Time-Varying System Linear Value Function Approximation Linearity Linearization Localization Location-Based Map Log Odds Logistic Map Logistic Regression Lorenz System Low-Rank Matrix Recovery Low-Rank Optimization Low-Variance Sampling Lowpass Filter Luenberger Observer Lur'e Problem Lyapunov Equation Lyapunov Function Lyapunov Theory M-Estimator Machine Learning Magnitude of Complex Number Magnitude Scaling and Shifting Mahalanobis Distance Map Mapping Markov Assumption Markov Chain Markov Decision Process Markov Jump System Markov Parameters Markov Process Markov Reward Process Matched Filter Matched Uncertainty Mathematical Description of a System Mathematical Object Mathematics Matrix Matrix Exponential Matrix Factorization Matrix Inverse Matrix Multiplication Matrix Norm Matrix Similarity Matrix Transpose Maximum a Posteriori Estimation Maximum Likelihood Estimation Maximum-Entropy Reinforcement Learning Measure Measure Space Measurement Model Measurement Noise Mesh Analysis Method of Undetermined Coefficients Minimal Realization Minimum Mean Square Error Estimator Minimum Residual Method Minimum-Variance Control Mirror Descent MIT Rule Mobile Robot Model Model Predictive Control Model Reduction Model Reference Adaptive Control Model-Based Reinforcement Learning Modeling Momentum Method Monte Carlo Localization Monte Carlo Method Multi-Agent Algorithm Multi-Agent Reinforcement Learning Multi-Agent System Multi-Armed Bandit Multi-Input Multi-Output System Multiple Integral Natural Frequency Natural Response Network Independent Stepsize Algorithm Networked Control Neural Network Neural Network System Newton's Method Newtonian Mechanics Nilpotent Matrix Nodal Analysis Noncausal System Nonconvex Optimization Nonholonomic System Nonlinear Control Nonlinear Least Squares Nonlinear System Nonsingular Distribution Norm Normal Distribution Normed Vector Space Null Space Number Numerical Range Nyquist Frequency Observability Observability Gramian Observability Matrix Observable Canonical Form Observable Decomposition Observable State Observer Observer-Based Controller Observer/Kalman Filter Identification Occupancy Grid Map Odd Signal Odometry Off-Policy Learning Offline Reinforcement Learning Open-Loop Control Operational Amplifier Operational Transfer Function Operator Operator Norm Operator Splitting Optimal Control Optimal Policy Optimal Power Flow Optimization Optimization Algorithm Optimization Flow Optimization Problem Orthogonal Basis Orthogonal Complement Orthogonal Matrix Orthogonal Projection Orthogonal Vectors Orthonormal Basis Output Equation Output Feedback Output Space Parallel Interconnection Parallel RLC Circuit Parameter Drift Partial Derivative Partial Fraction Expansion Partially Observable Markov Decision Process Particle Filter Particular Solution Partition Passive System Passivity Path Planning PBH Test Peak Time Peak Value Pendulum Percent Overshoot Perception Performance Estimation Problem Periodic Signal Persistence of Excitation Perspective-N-Point Problem Phase Line Phase Portrait Phasor Picard Iteration PID Controller Planar Mobile Robot Planning Plot Poisson Distribution Pole Pole Placement Pole-Zero Plot Policy Evaluation Policy Gradient Method Policy Iteration Polyhedron Polynomial Polytopic Uncertainty Port-Hamiltonian System Portfolio Optimization Positive Definite Matrix Positive Real System Positive Semidefinite Matrix Power Power Series Power Signal Principle of Stationary Action Probabilistic Kinematics Probability Probability Density Function Probability Distribution Probability Mass Function Probability Space Problem Process Noise Projected Gradient Method Proper Transfer Function Property Proximal Algorithms Proximal Gradient Method Proximal Point Algorithm Proximal Policy Optimization Pseudoinverse Q-Learning Quadratic Form Quadratic Polynomial Quadratic Program Quadratic Unconstrained Binary Optimization Quadratically Constrained Quadratic Program Quadrotor Qualitative Property Quality Factor Quantitative Property Quasi-Newton Method Quaternion Radial Basis Function Network Radial Duality Ramp Signal Random Variable Range Finder Rank Rational Function Rauch–Tung–Striebel Smoother RC Circuit Real Analysis Real Part Realization Recurrent Neural Network Recursive State Estimation Reference Frame Region of Attraction Region of Convergence Regret Regularization Reinforcement Learning Relation Relative Degree Resistor Resonance Response Restriction of a Linear Map Return Riccati Differential Equation Right Inverse RL Circuit Robot Robot Simulator Robotic Manipulator Robotics Robust $\H_2$ Controller Synthesis Robust $\H_2$ Performance Analysis Robust Accelerated Method Robust Adaptive Law Robust and Optimal Control Robust Control Robust Gradient Method Robust H∞ Controller Synthesis Robust H∞ Performance Analysis Robust Heavy Ball Method Robust Momentum Method Robust Optimization Root Matching Root-Mean-Square Roots Rotation Matrix Row Echelon Form Row Space Runge–Kutta Method S-Procedure Safe Set Safety-Critical Control Sampling Sarsa Scalar Scalar Field Scalar Signal Scaled Relative Graph Schur Complement Schur Matrix Second-Order Cone Program Second-Order System Sector Bounded Function Self-Tuning Regulator Semi-Gradient Method Semidefinite Program Sensitivity Function Sensor Sensor Fusion Separable Differential Equation Separation Principle Series Series Interconnection Series RLC Circuit Set Settling Time Shooting Method Signal Signal Norm Signal Transform Signal Transformation Signals and Systems Similarity Transformation Simplex Simplex Method Simulation Diagram Simultaneous Localization and Mapping Sinc Function Single-Input Single-Output System Singular Arc Singular Value Decomposition Sinusoid Skew-Symmetric Matrix Sliding Mode Control Slope Restricted Function Smooth Function Smooth Strongly Convex Function Space Span Sparse Identification of Nonlinear Dynamics Spectrum Spring-Mass-Damper Square Matrix Stability Stability Margin Stabilizability State State Equation State Estimation State Feedback State Space State Transformation State Transition Function State-Action Value Function State-Space Model State-Value Function Static Output Feedback Static State Feedback Static System Stationary Distribution Statistic Statistics Steady-State Response Step Invariance Step Response Step Signal Stochastic Control Stochastic Gradient Descent Stochastic Optimal Control Stochastic Process Stochastic Signal Strictly Proper Transfer Function Subgradient Subset Subspace Sum of Subspaces Sum-of-Squares Polynomial Summing Junction Supervised Learning Support Vector Machine Surjective Linear Map Survey Descent Switching Linear System Symmetric Matrix Symmetric Rank One Algorithm Symplectic Matrix System System Identification System Level Synthesis System Model System Norm System of Linear Equations Systems Theory Task Planning Taylor Series Temporal-Difference Learning Tensor Field Tensor Product Theory Thévenin Equivalent Circuit Thompson Sampling Tikhonov Regularization Time Time Constant Time Domain Time Invariance Time Scaling Time Shifting Time-Invariant System Time-Varying Optimization Time-Varying System Trace Trace-Class Operator Trajectory Optimization Trajectory Planning Transfer Function Transfer Matrix Transformation Transient Response Trigonometric Fourier Series Triple Momentum Method Two-Point Boundary-Value Problem Uniform Distribution Unitary Matrix Unobservable Subspace Unscented Kalman Filter Unscented Transform Unsupervised Learning Upper Confidence Bound Action Selection Value Function Approximation Value Iteration Value-at-Risk Variance Variation of Parameters Variational Inequality Vector Vector Calculus Vector Field Vector Norm Vector Signal Vector Space Viscosity Solution Voltage Well-Posedness White Noise Wronskian Youla Parameterization Zames-Falb Multipliers Zero Zero Dynamics Zero-Input Response Zero-Order Hold Zero-State Response