• Guang-Ren Duan
Part of the Advances in Mechanics and Mathematics book series (AMMA, volume 23)


This chapter gives a brief introduction to descriptor systems. Section 1.1 discusses the state space representation of descriptor systems, with an emphasis on the timeinvariant descriptor linear systems, which will be mainly discussed in this book. Section 1.2 presents examples of descriptor systems, specifically, the electrical circuit systems, the interconnected large-scale systems, the constrained mechanical systems, and the robotic systems. The purpose of this section is to assure the readers about the existence of descriptor systems in various fields. In Sect. 1.3, various feedback laws in descriptor linear systems are first introduced and then, a general introduction to the basic problems involving descriptor linear systems analysis and design is presented. An overview of the book is given in Sect. 1.4 and some notes and comments follow in Sect. 1.5.


Descriptor System Control System Design State Space Representation Dynamical Order Eigenstructure Assignment 
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.


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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Center for Control Theory and Guidance TechnologyHarbin Institute of TechnologyHarbinP. R. China

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