93Bxx Controllability and observability
This subtopic introduces the core ideas in controllability and observability, including foundational concepts, standard methods, and the main questions used to organize the area. Typical uses include building mathematical background, framing related research problems, and supporting applications in neighboring fields where these concepts provide useful structure.
Specific topics
93B03 Attainable sets, reachability
Overview
This specific topic studies attainable sets, reachability within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Attainable sets, reachability
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
93B05 Controllability
Overview
This specific topic studies controllability within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Controllability
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
93B07 Observability
Overview
This specific topic studies observability within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Observability
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
93B10 Canonical forms
Overview
This specific topic studies canonical forms within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Canonical forms
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
93B11 System structure simplification
Overview
This specific topic studies system structure simplification within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: System structure simplification
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
93B12 Variable structure systems
Overview
This specific topic studies variable structure systems within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Variable structure systems
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
93B15 Realizations from input-output data
Overview
This specific topic studies realizations from input-output data within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Realizations from input-output data
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
93B17 Transformations
Overview
This specific topic studies transformations within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Transformations
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
93B18 Linearizations
Overview
This specific topic studies linearizations within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Linearizations
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
93B20 Minimal systems representations
Overview
This specific topic studies minimal systems representations within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Minimal systems representations
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
93B25 Algebraic methods in control theory
Overview
This specific topic studies algebraic methods in control theory within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Algebraic methods in control theory
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
93B27 Geometric methods in systems theory
Overview
This specific topic studies geometric methods in systems theory within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Geometric methods in systems theory
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
93B28 Operator-theoretic methods
Overview
This specific topic studies operator-theoretic methods within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Operator-theoretic methods
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
93B30 System identification
Overview
This specific topic studies system identification within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: System identification
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
93B35 Sensitivity (robustness)
Overview
This specific topic studies sensitivity (robustness) within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Sensitivity (robustness)
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
93B36 $H^\infty$-control
Overview
This specific topic studies $h^\infty$-control within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: $H^\infty$-control
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
93B40 Computational methods in systems theory
Overview
This specific topic studies computational methods in systems theory within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Computational methods in systems theory
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
93B45 Model predictive control
Overview
This specific topic studies model predictive control within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Model predictive control
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
93B50 Synthesis problems
Overview
This specific topic studies synthesis problems within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Synthesis problems
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
93B51 Design techniques (robust design, computer-aided design, etc.)
Overview
This specific topic studies design techniques (robust design, computer-aided design, etc.) within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Design techniques (robust design, computer-aided design, etc.)
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
93B52 Feedback control
Overview
This specific topic studies feedback control within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Feedback control
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
93B53 Observers
Overview
This specific topic studies observers within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Observers
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
93B55 Pole and zero placement problems
Overview
This specific topic studies pole and zero placement problems within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Pole and zero placement problems
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
93B60 Eigenvalue problems in control theory
Overview
This specific topic studies eigenvalue problems in control theory within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Eigenvalue problems in control theory
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
93B70 Linearizations
Overview
This specific topic studies linearizations within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Linearizations
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks