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Quadratic Stabilizability of Switched Linear Systems with Polytopic Uncertainties
 

Summary: Quadratic Stabilizability of Switched Linear
Systems with Polytopic Uncertainties
Guisheng Zhai1
Hai Lin2
and Panos J. Antsaklis2
1
Faculty of Systems Engineering, Wakayama University
930 Sakaedani, Wakayama 640-8510, Japan
Email: zhai@sys.wakayama-u.ac.jp
Tel:+81(73)457-8187, Fax:+81(73)457-8201
2
Department of Electrical Engineering, University of Notre Dame
Notre Dame, IN 46556, USA
Email: {hlin1, antsaklis.1}@nd.edu
Tel:+1(574)631-5792, Fax:+1(574)631-4393
Abstract: In this paper, we consider quadratic stabilizability via state feedback for
both continuous-time and discrete-time switched linear systems that are composed
of polytopic uncertain subsystems. By state feedback, we mean that the switchings
among subsystems are dependent on system states. For continuous-time switched
linear systems, we show that if there exists a common positive definite matrix for

  

Source: Antsaklis, Panos - Department of Electrical Engineering, University of Notre Dame

 

Collections: Engineering