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Stability for impulsive control systems |
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| Authors: | Fernando L Pereira Geraldo N Silva |
| Affiliation: | a Institute for Systems and Robotics—Porto, Faculdade de Engenharia da Universidade do Porto, Rua Dr. Roberto Frias, 4200-465 Porto, Portugal email: flp@fe.up.pt. b Department of Computer Science and Statistics, Universidade Estadual Paulista, 15054-000 S. J. Rio Preto, SP, Brazil e-mail: gsilva@dcce.ibilce.unesp.br. |
| Abstract: | In this paper we extend the notion of the control Lyapounov pair of functions and derive a stability theory for impulsive control systems. The control system is a measure driven differential inclusion that is partly absolutely continuous and partly singular. Some examples illustrating the features of Lyapounov stability are provided. |
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