93Cxx System structure and realization
This subtopic introduces the core ideas in system structure and realization, 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
93C05 Linear systems in control theory
Overview
This specific topic studies linear systems in control theory within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Linear systems 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
93C10 Nonlinear systems in control theory
Overview
This specific topic studies nonlinear systems in control theory within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Nonlinear systems 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
93C15 Systems governed by ODEs in control theory
Overview
This specific topic studies systems governed by odes in control theory within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Systems governed by ODEs 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
93C20 Systems governed by PDEs in control theory
Overview
This specific topic studies systems governed by pdes in control theory within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Systems governed by PDEs 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
93C23 Systems governed by functional-differential equations in control theory
Overview
This specific topic studies systems governed by functional-differential equations in control theory within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Systems governed by functional-differential equations 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
93C25 Systems in abstract spaces in control theory
Overview
This specific topic studies systems in abstract spaces in control theory within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Systems in abstract spaces 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
93C28 Dynamical systems in control theory
Overview
This specific topic studies dynamical systems in control theory within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Dynamical systems 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
93C30 Systems governed by functional relations other than differential equations in control theory
Overview
This specific topic studies systems governed by functional relations other than differential equations in control theory within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Systems governed by functional relations other than differential equations 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
93C35 Multivariable systems in control theory
Overview
This specific topic studies multivariable systems in control theory within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Multivariable systems 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
93C40 Adaptive control/observation systems
Overview
This specific topic studies adaptive control/observation systems within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Adaptive control/observation 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
93C41 Problems with incomplete information in control theory
Overview
This specific topic studies problems with incomplete information in control theory within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Problems with incomplete information 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
93C42 Fuzzy control/observation systems
Overview
This specific topic studies fuzzy control/observation systems within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Fuzzy control/observation 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
93C43 Delay control/observation systems
Overview
This specific topic studies delay control/observation systems within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Delay control/observation 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
93C48 Hybrid systems
Overview
This specific topic studies hybrid systems within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Hybrid 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
93C55 Discrete-time control/observation systems
Overview
This specific topic studies discrete-time control/observation systems within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Discrete-time control/observation 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
93C57 Sampled-data control/observation systems
Overview
This specific topic studies sampled-data control/observation systems within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Sampled-data control/observation 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
93C62 Digital control/observation systems
Overview
This specific topic studies digital control/observation systems within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Digital control/observation 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
93C65 Discrete event control/observation systems
Overview
This specific topic studies discrete event control/observation systems within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Discrete event control/observation 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
93C70 Time-scale analysis and singular perturbations in control theory
Overview
This specific topic studies time-scale analysis and singular perturbations in control theory within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Time-scale analysis and singular perturbations 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
93C73 Perturbations in control/observation systems
Overview
This specific topic studies perturbations in control/observation systems within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Perturbations in control/observation 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
93C80 Frequency-response methods in control theory
Overview
This specific topic studies frequency-response methods in control theory within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Frequency-response 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
93C83 Control/observation systems involving computers (process control, etc.)
Overview
This specific topic studies control/observation systems involving computers (process control, etc.) within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Control/observation systems involving computers (process control, 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
93C85 Automated systems (robots, etc.) in control theory
Overview
This specific topic studies automated systems (robots, etc.) in control theory within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Automated systems (robots, etc.) 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
93C95 Applications of control theory
Overview
This specific topic studies applications of control theory within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Applications of 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