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Everything about Controllability
Dynamic system property
Controllability is an important property of a control system and plays a crucial role in many regulation problems, such as the stabilization of unstable systems using feedback, tracking problems, obtaining optimal control strategies, or, simply prescribing an input that has a desired effect on the state. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: ControllabilityA 5-minute orientation
- Skim a recent paper: Biophysical neurons, energy, and synapse controllability: a reviewInfluential work since 2022
- Pick up a classic book: The GiverThe most-reprinted book on the subject
- Read the landmark paper: Principal component analysis in linear systems: Controllability, observability, and model reductionCited 4,315 times
- Go sideways: State-transition matrixA closely related topic
- Go sideways: State-space representationA closely related topic
📖 Definitions
Noun The quality or extent of being controllable; controllableness.
🗂️ The subject at a glance
- State controllability
- Continuous linear systems
- Rank condition for controllability
- Discrete linear time-invariant (LTI) systems
- Nonlinear systems
- Controllability via state feedback
- Collective controllability: feedback control of state transition
- Null controllability
- Output controllability
- Controllability under input constraints
- Controllability in the behavioral framework
- Stabilizability
🏆 Landmark papers (most cited)
Principal component analysis in linear systems: Controllability, observability, and model reduction
Controllability of complex networks
Nonlinear controllability and observability
Structural controllability
Exact Controllability, Stabilization and Perturbations for Distributed Systems
Achieving Controllability of Electric Loads
Controllability, stabilizability, and continuous-time Markovian jump linear quadratic control
Controllability of structural brain networks
🆕 Influential since 2022
Biophysical neurons, energy, and synapse controllability: a review
How do people react to AI failure? Automation bias, algorithmic aversion, and perceived controllability
Thermodynamic and kinetic understanding for managing the controllability of interfacial polymerization
Leading Cruise Control in Mixed Traffic Flow: System Modeling, Controllability, and String Stability
Strong Structural Controllability of Boolean Networks: Polynomial-Time Criteria, Minimal Node Control, and Distributed Pinning Strategies
📚 Books worth reading
The GiverLois Lowry · 1993
Silent SpringRachel Carson · 1962
The 48 Laws of PowerRobert Greene · 1998
The Art of SeductionRobert Greene · 2001
Chantaje Emocional/Emotional BlackmailSusan Forward, Donna Frazier · 1996
Quality controlDale H. Besterfield · 1979
The 33 Strategies of WarRobert Greene, Don Leslie · 1998
Guide to quality controlKaoru Ishikawa · 1972
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- State-transition matrix In control theory and dynamical systems theory, the state-transition matrix is a matrix function that describes how the state of a linear system changes…
- State-space representation In control engineering and system identification, a state-space representation is a mathematical model of a physical system that uses state variables to…
- State-transition equation The state-transition equation is defined as the solution of the linear homogeneous state equation. The linear time-invariant state equation given by d…
- Observability Observability is a measure of how well internal states of a system can be inferred from knowledge of its external outputs. In control theory, the observability…
- State observer In control theory, a state observer, state estimator, or Luenberger observer is a system that provides an estimate of the internal state of a given real…
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- Ackermann's formula In control theory, Ackermann's formula provides a method for designing controllers to achieve desired system behavior by directly calculating the feedback…
- Gram matrix In linear algebra, the Gram matrix (or Gramian matrix, Gramian) of vectors v1,…,vn in an inner product space is the Hermitian matrix of inner products…