Linear impulsive control system with impulse time windows. (January 2017)

• Record Type: Journal Article
• Authors: Feng, Yuming; Yu, Junzhi; Li, Chuandong; Huang, Tingwen; Che, Hangjun
• Is Part Of: Journal of vibration and control. Volume 23:Number 1(2017)
• Page Start: 111
• Page End: 118
• Publication Date: 2017-01
• Subjects: Linear impulsive control system -- impulses -- impulse time windows -- asymptotic stability; Vibration -- Periodicals; Damping (Mechanics) -- Periodicals; 620.3
• DOI: 10.1177/1077546315575465
• Languages: English
• ISSNs: 1077-5463

Abstract

We formulate the linear impulsive control systems with impulse time windows. Different from the most impulsive systems where the impulses occur at fixed time or when the system states hit a certain hyperplane, the impulse time in the presented systems might be uncertain, but limited to a small time interval, i.e. a time window. Compared with the existing impulsive systems, the systems with impulse time windows is of practical importance. We then study the asymptotic stability of the case of linear systems and obtain several stability criteria. Numerical examples are given to verify the effectiveness of the theoretical results.