On stability of switched nonlinear systems with time-scaling transformation

ABSTRACT

This paper considers a class of switched nonlinear systems with time-scaling transformation. A newconcept named ‘time-scaling transformational average dwell time’ is proposed, based on which two stability conditions for the original switched system are established that rely on each mode's dynamics of the transformational switched system and the characteristic of the time-scaling transformation. The new observation significantly extends existing stability results, especially for the case with unstable modes. A numerical example is given to illustrate the effectiveness of the proposed method.

KEYWORDS:

• Switched systems
• time-scaling transformation
• unstable modes

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work is supported by National Natural Science Foundation of China [grant number 61473143], [grant number 61622304]; Natural Science Foundation of Jiangsu Province [grant number BK20160035]; Fundamental Research Funds for the Central Universities [grant number NE2015002]; State Key Laboratory of Synthetical Automation for Process Industries.