Difference between revisions of "Linear Systems"

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|Next chapter=State Feedback
 
|Next chapter=State Feedback
 
|Previous chapter=Dynamic Behavior
 
|Previous chapter=Dynamic Behavior
|Chapter summar=Previous chapters have focused on the dynamics of a system with relatively little attention to the inputs and outputs.  This chapter gives an introduction to input/output behavior for linear systems and shows how a nonlinear system can be approximated near an equilibrium point by a linear model.
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|Chapter summary=Previous chapters have focused on the dynamics of a system with relatively little attention to the inputs and outputs.  This chapter gives an introduction to input/output behavior for linear systems and shows how a nonlinear system can be approximated near an equilibrium point by a linear model.
 
|Chapter contents=* 1. Basic Definitions
 
|Chapter contents=* 1. Basic Definitions
 
* 2. The Matrix Exponential
 
* 2. The Matrix Exponential
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* 5. Further Reading
 
* 5. Further Reading
 
* Exercises
 
* Exercises
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|Chapter summar=Previous chapters have focused on the dynamics of a system with relatively little attention to the inputs and outputs.  This chapter gives an introduction to input/output behavior for linear systems and shows how a nonlinear system can be approximated near an equilibrium point by a linear model.
 
}}
 
}}

Revision as of 21:57, 27 December 2020

Prev: Dynamic Behavior Chapter 5 - Linear Systems Next: State Feedback

[[Image:{{{Short name}}}-firstpage.png|right|thumb|link=https:www.cds.caltech.edu/~murray/books/AM08/pdf/fbs-{{{Short name}}}_24Jul2020.pdf]] Previous chapters have focused on the dynamics of a system with relatively little attention to the inputs and outputs. This chapter gives an introduction to input/output behavior for linear systems and shows how a nonlinear system can be approximated near an equilibrium point by a linear model.