Conference Proceedings

Time Scale Framework for Hybrid Systems

Ti-Chung Lee, Ying Tan, Iven Mareels

2018 IEEE Conference on Decision and Control (CDC) | IEEE | Published : 2018

Abstract

Many engineering systems require both continuous and discrete valued signals, as well as continuous and discrete time scales in their descriptions and are therefore known as hybrid systems. Recently, the concept of time-scale calculus was introduced as a unification of the theory of difference and differential equations, making it an ideal tool to analyze hybrid systems. The time-scale calculus can handle solutions of hybrid systems with infinitely many jumps. However, to date time-scale calculus restricts time to a non-empty closed subset of the real line which is not general enough to fully capture the dynamics of hybrid systems. A generalization is proposed to extend time-scale calculus s..

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Grants

Awarded by MOST, Taiwan, R.O.C.


Funding Acknowledgements

This work was supported by the MOST, Taiwan, R.O.C., under contract MOST 106-2221-E-159 -001 -MY2.