Introduction and Preview

  • Shengyuan Xu
  • James Lam
Part of the Lecture Notes in Control and Information Science book series (LNCIS, volume 332)


The classical state-space model for a proper system, corresponding to a set of ordinary di.erential equations (ODEs), can be obtained by selecting a minimal set of variables (known as state variables). However, there are practical situations where physical variables (referred to as descriptor variables) cannot be chosen as state variables in a natural way to provide a mathematical model in a state-space form. Usually, descriptor variables chosen naturally are not minimal in the sense that they may be related algebraically. This may result in a singular system model since some of the relationships of these variables are dynamic while others purely static.


Singular System State Feedback Controller Guarantee Cost Control Robust Stability Analysis Stability Robustness 
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Authors and Affiliations

  • Shengyuan Xu
    • 1
  • James Lam
    • 2
  1. 1.Department of Automation Nanjing University of Science and Technology, Nanjing 210094P. R. China
  2. 2.Department of Mechanical Engineering, The University of Hong Kong, 7/F Haking Wong Building, Pokfulam Road, Hong KongP. R. China

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