17th International Symposium on
Mathematical Theory of Networks and Systems
Kyoto International Conference Hall, Kyoto, Japan, July 24-28, 2006

MTNS 2006 Paper Abstract

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Paper ThA09.1

Bombrun, Alex (INRIA Sophia)

Liapunov Interpolation

Scheduled for presentation during the Regular Session "Sampled-data control II" (ThA09), Thursday, July 27, 2006, 10:25−10:50, Room J

17th International Symposium on Mathematical Theory of Networks and Systems, July 24-28, 2006, Kyoto, Japan

This information is tentative and subject to change. Compiled on May 19, 2024

Keywords Sampled-data control, Control of nonlinear systems, Stability

Abstract

Motivated by the implementation of the open loop control law of a time optimal transfer for the controlled 2-body system, we focus on the problem of extending an open loop control with a feedback around a nominal trajectory. Consider a periodic drift-less affine system and consider a smooth trajectory generated by a smooth control law function of the time. We prove that regular open loop controls can be extended with feedbacks derived from Liapunov functions.