Feedback Finite-Time Stabilization of Impulsive Linear Systems over Piecewise Quadratic Domains
Access Status
Open access via publisher
Authors
Huang, J.
Li, J.
Bu, Linshan
Xu, Honglei
Date
2021Type
Journal Article
Metadata
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Huang, J. and Li, J. and Bu, L. and Xu, H. 2021. Feedback Finite-Time Stabilization of Impulsive Linear Systems over Piecewise Quadratic Domains. Complexity. 2021: 7651393.
Source Title
Complexity
ISSN
Faculty
Faculty of Science and Engineering
School
School of Elec Eng, Comp and Math Sci (EECMS)
Funding and Sponsorship
Collection
Abstract
This paper investigates the state feedback stabilization problem for a class of impulsive linear time-varying systems over specified time intervals and piecewise quadratic domains (PQDs). First, concepts related to finite-time stability and PQDs are given. Second, finite-time stability analysis over PQDs is implemented, and a variety of stability conditions involving differential linear matrix inequalities are investigated. Then, computationally tractable stability conditions are established for the control design. Finally, an illustrative example is presented to show the effectiveness of the designed state feedback control.