Convergent dynamics, a tribute to Boris Pavlovich Demidovich

نویسندگان

  • Alexey V. Pavlov
  • Alexander Yu. Pogromsky
  • Nathan van de Wouw
  • Henk Nijmeijer
چکیده

We review and pay tribute to a result on convergent systems by the Russian mathematician Boris Pavlovich Demidovich. In a sense, Demidovich’s approach forms a prelude to a 7eld which is now called incremental stability of dynamical systems. Developments on incremental stability are reviewed from a historical perspective. c © 2004 Elsevier B.V. All rights reserved.

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Convergent systems: analysis and synthesis

In this paper we extend the notion of convergent systems defined by B.P. Demidovich and introduce the notions of uniformly, exponentially convergent and input-to-state convergent systems. Basic (interconnection) properties of such systems are established. Sufficient conditions for input-to-state convergence are presented. For a class of nonlinear systems we design (output) feedback controllers ...

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عنوان ژورنال:
  • Systems & Control Letters

دوره 52  شماره 

صفحات  -

تاریخ انتشار 2004