Abstract
Here we consider observed and controlled linear dynamical systems in continuous-time. Real systems are rarely linear; they often involve nonlinear behaviors described by nonlinear terms in the dynamical equations of the model. However, the interest of linear dynamical systems is emphasized at the end of this chapter. Indeed, we show that the study of the tangent linear system generally makes it possible to locally stabilize an equilibrium of the nonlinear original system. In contrast to Chaps. 2 and 4, where only two types of variables were considered, namely the state vector and the external input variables, we are now going to take into account output or observed variables which constitute the components of the state directly measured through sensors.
Keywords
- Equilibrium Point
- Nonlinear Dynamical System
- Linear Dynamical System
- Observability Property
- Asymptotic Observer
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsAuthor information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2013 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
d’Andréa-Novel, B., De Lara, M. (2013). Continuous-Time Linear Dynamical Systems. In: Control Theory for Engineers. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34324-7_5
Download citation
DOI: https://doi.org/10.1007/978-3-642-34324-7_5
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-34323-0
Online ISBN: 978-3-642-34324-7
eBook Packages: Earth and Environmental ScienceEarth and Environmental Science (R0)