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 Accelerated Gradient Method Adaptive Control Adaptive Moment Estimation Algorithm Adaptive Restart Additive Operator Additivity Advance Operator Affine Function Algebra Algebraic Riccati Equation Algorithm Analysis Alternating Direction Method of Multipliers Alternatives Analysis Angular Frequency Anticausal System Asynchronous Method Autonomous System Average Absolute Value Average Consensus Balanced Realization Banach Space Barzilai-Borwein Stepsize Bayes Filter Behavioral Systems Theory Belief Bellman Equation BIBO Stability Bilevel Optimization Bilinear Transform Block-Diagonal Matrix Block-Diagonal System Boids Bounded Linear Operator Bounded Operator Boundedness Bregman Divergence Broyden-Fletcher-Goldfarb-Shanno Algorithm Calculus Capacitor Cart-Pole Causal System Causality Certainty Equivalence Chaos Characteristic Polynomial Circuit Circuit Element Classical Mechanics Coachbot Codomain Completely Positive Matrix Complex Analysis Complex Conjugate Complex Exponential Signal Complex Number Complex Plane Concept Concept Conditional Value-at-Risk Cone Cone Factorization Problem Cone Program Conjugate Function Conjugate Gradient Method Consensus Consensus Optimization Continuous Random Variable Continuous Time Continuous-Time Complex Exponential Signal Continuous-Time Controllability Gramian Continuous-Time Exponential Signal 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 Step Signal Continuous-Time System Control Control Affine Control Barrier Function Control Policy Control-Affine System Controllability Controllability Gramian Controllability Matrix Controllable Canonical Form Controllable Decomposition Controllable Subspace Convex Analysis Convex Extension Convex Function Convex Hull Membership Problem Convex Optimization Convex Optimization Control Policy Convex Process Convex Program Convex Set Convolution Crazyflie Cumulative Distribution Function Data-Driven Control Data-Driven Optimization DC Gain DC Microgrid Del Operator Detectability Diagonal Canonical Form Diagonal Matrix Difference Equation Differential Equation Differential Geometry Digital Control Digital Signal Processing Dimensionality Direct Data-Driven Control Direct Form Discipline Discrete Fourier Transform Discrete Probability Space Discrete Random Variable Discrete Time Discrete-Time Complex Exponential Signal Discrete-Time Controllability Gramian Discrete-Time Exponential Signal 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 Step Signal Discrete-Time System Dissipativity Theory Distributed Control Distributed Gradient Descent Distributed Inexact Gradient Tracking Distributed Optimization Distributed Optimization Algorithm Distribution Distributionally Robust Optimization Domain Douglas-Rachford Algorithm Dual Ascent Dynamic Mode Decomposition Dynamic Output Feedback Dynamic Programming Dynamic System Dynamics Eigensystem Realization Algorithm Eigenvalue Empirical Risk Minimization Energy Equation Equivalent Norms Equivalent Realization Estimation Even signal Event-Triggered Control Exact First-Order Algorithm Exponential Signal Exponential Stability Expression Extended Information Filter Extended Kalman Filter External Stability Extragradient Method Extremum Seeking Control Farka's Lemma Federated Learning Feedback Control Feedback Interconnection Feedback Linearization Feedback Optimization Feedforward Control Field Filter Finite-Dimensional System Finite-Dimensional Vector Space First-Order Method First-Order System Forced Response Formation Control Fourier Series Fourier Transform Frank-Wolfe Method Frequency Frequency Domain Frequency Domain Inequality Frequency Response Frobenius norm Function Functional Analysis Gain Gaussian Random Variable Generalized Signal Geometry Gradient Gradient Descent Gradient Descent Ascent Gradient Method Gradient Tracking Gram Matrix Gramian Graph Hamiltonian Matrix Hamiltonian Mechanics Hamiltonian System Hankel Matrix Heavy Ball Method Hessian Hilbert Space Hilbert-Schmidt Operator Homogeneity Homogeneous Operator Homogeneous Solution Hybrid System Hybrid Time Imaginary Unit Imitation Learning Impulse Invariance Impulse Response Impulse Signal Indirect Data-Driven Control Inductor Inequality Infinite-Dimensional System Information Filter Information-Theoretic Exact Method Inner Product Inner Product Space Input-Output Linearization Input-Output Model Input-Output Parameterization Integral Absolute Value Integral Quadratic Constraint Integrator Interconnection Internal Stability Invariant Subspace Inverse $z$-Transform Inverse Linear Quadratic Regulator Inverse Optimization Involutive Distribution Jacobian Jordan Block Jordan Matrix Kalman Decomposition Kalman Filter Kilobot Kinematics Kinetics Knowledge Knowledge Graph Koopman Operator Lagrangian Dual Lagrangian Mechanics Laplace Transform Learning to Optimize Lie Bracket Lie Derivative Lifting Linear Algebra Linear Matrix Inequality Linear Matrix Inequality Region Linear Operator 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 Linearity Linearization Lorenz System Low-Rank Matrix Recovery Low-Rank Optimization Lur'e Problem Lyapunov Equation Lyapunov Function Lyapunov Theory Machine Learning Markov Decision Process Markov Jump System Markov Parameters Markov Process Markov Reward Process Mathematical Description of a System Mathematical Object Mathematics Matrix Matrix Exponential Matrix Inverse Matrix Norm Matrix Similarity Measure Measure Space Minimal Realization Minimum Residual Method Mirror Descent Model Model Predictive Control Model Reduction Modeling Momentum Method Multi-Agent Algorithm Multi-Agent Reinforcement Learning Multi-Agent System Multi-Input Multi-Output System Natural Response Network Independent Stepsize Algorithm Networked Control Neural Network Neural Network System Newton's Method Newtonian Mechanics Noncausal System Nonconvex Optimization Nonlinear Control Nonlinear System Nonsingular Distribution Norm Normal Distribution Normed Vector Space Notes Nothing Number Numerical Range Object Observability Observability Gramian Observability Matrix Observable Canonical Form Observable Decomposition Observer Observer Kalman Filter Identification Operational Transfer Function Operator Operator Norm Operator Splitting Method Optimal Control Optimal Power Flow Optimization Optimization Algorithm Optimization Flow Optimization Problem Output Feedback Parallel Interconnection Particle Filter Particular solution Passive System Passivity Path Planning Peak Value Pendulum Performance Estimation Problem Periodic Signal Picard iteration Plot Pole Pole Placement Pole-Zero Plot Policy Evaluation Policy Iteration Polynomial Port-Hamiltonian System Portfolio Optimization Positive Real System Positive Semidefinite Matrix Power Principle of Stationary Action Probabilistic Kinematics Probability Probability Density Function Probability Distribution Probability Mass Function Probability Space Problem Property Proximal Algorithm Proximal Point Algorithm Quadratic Form Quadratic Polynomial Quadratic Program Quadratic Unconstrained Binary Optimization Quadratically Constrained Quadratic Program Quadrotor Qualitative Property Quantitative Property Quasi-Newton Method Radial Duality Random Variable Rational Function RC circuit Real Analysis Realization Recurrent Neural Network Recursive State Estimation Region of Convergence Regularization Reinforcement Learning Relation Relative Degree Resistor Response Robot Robot Simulator Robotic Manipulator Robotics Robust $\Hinf$ Controller Synthesis Robust $\Hinf$ Performance Analysis Robust $\Htwo$ Controller Synthesis Robust $\Htwo$ Performance Analysis Robust Accelerated Method Robust and Optimal Control Robust Control Robust Gradient Method Robust Heavy Ball Method Robust Momentum Method Robust Optimization Root Matching Root-Mean-Square Roots S-Procedure Safe Set Safety Critical Control Sampling Scalar Field Scaled Relative Graph Second Order System Second-Order Cone Program Sector Bounded Function Semidefinite Program Sensor Fusion Separation Principle Series Interconnection Set Signal Signal Norm Signal Transform Signal Transformation Signals and Systems Similarity Transformation Simplex Simulation Diagram Single-Input Single-Output System Sinusoid Skew-Symmetric Matrix Slope Restricted Function Smooth Function Smooth Strongly Convex Function Space Sparse Identification of Nonlinear Dynamics Spring-Mass-Damper Square Matrix Stability Stabilizability State State Feedback State Space State Transformation State Value Function State-Action Value Function State-Space Model Static Output Feedback Static State Feedback Static System Statistics Steady-State Response Step Invariance Step Response Step Signal Stochastic Control Stochastic Gradient Descent Stochastic Optimal Control Stochastic Process Subset Subspace Sum of Squares Polynomial Supervised Learning Survey Descent Switching Linear System Symmetric Matrix Symmetric Rank One Algorithm Symplectic Matrix System System Identification System Level Synthesis System Model System Norm Systems Theory Taylor Series Tensor Field Tensor Product Theory Tikhonov Regularization Time Time Domain Time Invariance Time-Invariant System Time-Varying Optimization Time-Varying System Trace-Class Operator Transfer Function Transformation Transient Response Triple Momentum Method Unitary Matrix Unobservable Subspace Unscented Kalman Filter Unsupervised Learning Value Iteration Value-at-Risk Variational Inequality Vector Calculus Vector Field Vector Norm Vector Space White Noise Youla Parameterization Zames-Falb Multipliers Zero Zero-Input Response Zero-Order Hold Zero-State Response