Stability of Nonlinear Systems with Variable-time Impulses: B-equivalence Method

abstract

• 2017, Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag GmbH Germany. This paper addresses the stability problem of nonlinear systems with variable-time impulses. By B-equivalence method, we shall show that under the well-selected conditions each solution of the considered systems will intersect each surface of discontinuity exactly once, and that the considered systems can be reduced to the fixed-time impulsive ones, which can be regarded as the comparison systems of the considered variable-time impulsive systems. Based on the stability theory of fixed-time impulsive systems, we propose a set of stability criteria for the variable-time impulsive systems. The theoretical results are illustrated by impulsive stabilization of Chua circuit.

authors

• Huang, Tingwen

published proceedings

• INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS

author list (cited authors)

• Li, C., Zhou, Y., Wang, H., & Huang, T.

citation count

• 27

complete list of authors

• Li, Chuandong||Zhou, Yinghua||Wang, Hui||Huang, Tingwen

publication date

• October 2017

publisher

• Springer Nature  Publisher

keywords

• B-equivalence
• Chua Circuit
• Impulsive Control Systems
• Variable-time Impulse

Digital Object Identifier (DOI)

• 10.1007/s12555-016-0086-7

start page

• 2072

end page

• 2079

volume

• 15

issue

• 5

URL

• http://dx.doi.org/10.1007/s12555-016-0086-7