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2 Elements of Descriptor Systems Theory

  • He-Sheng Wang
  • Chee-Fai Yung
  • Fan-Ren Chang
Chapter
  • 509 Downloads
Part of the Lecture Notes in Control and Information Science book series (LNCIS, volume 326)

Abstract

In this chapter we summarize some basic definitions and preliminary results that will be used throughout this book. Most of the treatments are purely algebraic and the definitions are fairly standard. In particular, we give a generalized version of the LaSalle’s Invariance Principle, which is useful in the proof of internal stability in the subsequent chapters. Furthermore, Bounded Real Lemma, which is a basic tool for solving the \(\mathcal{H}_\infty\) control problems, is extended to the descriptor systems in a natural way.

Keywords

Equilibrium Point Descriptor System Supply Rate Matrix Pencil Dissipation Inequality 
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Authors and Affiliations

  • He-Sheng Wang
    • 1
  • Chee-Fai Yung
    • 2
  • Fan-Ren Chang
    • 3
  1. 1.Department of Communications and Guidance Engineering National Taiwan Ocean University Keelung, Taiwan RoC, 20224 
  2. 2.Department of Electrical Engineering National Taiwan Ocean University Keelung, Taiwan RoC, 202 
  3. 3.Department of Electrical Engineering National Taiwan University Taipei, Taiwan RoC, 106 

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