Linear system theory
著者
書誌事項
Linear system theory
（Prentice-Hall information and system sciences series）
Prentice Hall, c1993
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
This introduction to linear system theory has been class tested at several universities. It focuses on time-varying linear systems, with frequent specialization to time-invariant case. Optional chapters pursue refinements and extensions, many confined to time-invariant linear systems. This text offers a clear, careful theoretical treatment, as well as modular organization for flexibility and provides compact, basic treatments of esoteric topics such as the polynomial fraction description and the geometric theory. There are also results that have not previously appeared in text form, for example, realization theory for time-varying linear systems, noninteracting control for time-varying linear systems and output feedback stabilization for time-varying linear systems. This text is intended for graduate level courses in linear system theory, theory of time-varying linear systems and linear state equations.
目次
- Mathematical notation and review
- state equation representation
- state equation solution
- transition matrix properties
- two important cases
- internal stability
- Lyapunov stability criteria
- additional stability criteria
- controllability and observability
- realizability
- minimal realization
- input-out-put stability
- controller and observer forms
- linear feedback
- state observation
- polynomial fraction description
- polynoial fraction applications
- geometric theory
- applications of geometric theory.
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