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Stabilization of Discrete 2 D Switching Systems

Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 426)

Introduction

In many modeling problems of physical processes, a 2D switching representation is needed. One can cite 2D physically based model for advanced power bipolar devices [107] and heat flux switching and modulating in thermal transistor [124]. This class of systems can correspond to 2D state pace or 2D time space switching systems.

In the last two decades, the two-dimensional (2D) system theory has been paid considerable attention by many researchers. The 2D linear models were introduced in the seventies [87, 88, 93] and have found many applications, such as in digital data filtering, image processing [141], modeling of partial differential equations [127], etc. It is well known that 2D systems can be represented by different models as Roesser model, Fornasini-Marchesini model and Attasi model. For a complete description of these models and methods to transform the system from a model type to another, one can consult [109].

Keywords

Lyapunov Function Switching System State Feedback Control Output Feedback Control Common Lyapunov Function 
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-Verlag London Limited 2012

Authors and Affiliations

  1. 1.Deparment of PhysicsUniversity of Cadi AyyadMarrakechMorocco

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