Passivity-based Stability of Interconnection Structures

  • Eduardo D. Sontag
  • Murat Arcak
Conference paper

DOI: 10.1007/978-1-84800-155-8_14

Volume 371 of the book series Lecture Notes in Control and Information Sciences (LNCIS)
Cite this paper as:
Sontag E.D., Arcak M. (2008) Passivity-based Stability of Interconnection Structures. In: Blondel V.D., Boyd S.P., Kimura H. (eds) Recent Advances in Learning and Control. Lecture Notes in Control and Information Sciences, vol 371. Springer, London

Abstract

In the 1970s, Vidyasagar developed an approach to the study of stability of interconnected systems. This paper revisits this approach and shows how it allows one to interpret, and considerably extend, a classical condition used in mathematical biology.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Eduardo D. Sontag
    • 1
  • Murat Arcak
    • 2
  1. 1.Department of MathematicsRutgers UniversityUSA
  2. 2.Department of Electrical, Computer, and Systems EngineeringRensselaer Polytechnic InstituteUSA