Novel stability results for aperiodic sampled-data systems. Issue 12 (August 2019)

• Record Type: Journal Article
• Authors: Shao, Hanyong; Shao, Lin; Feng, Zongying
• Is Part Of: Journal of the Franklin Institute. Volume 356:Issue 12(2019)
• Page Start: 6525
• Page End: 6537
• Publication Date: 2019-08
• Subjects: Science -- Periodicals; Technology -- Periodicals; Patents -- United States -- Periodicals; 505
• DOI: 10.1016/j.jfranklin.2019.03.027
• Languages: English
• ISSNs: 0016-0032

Abstract

Abstract: This paper is concerned with stability for aperiodic sampled-data systems. Firstly, for aperiodic sampled-data systems without uncertainties, a new Lyapunov-like functional is constructed by introducing the double integral of the derivative of the state, the integral of the state, and the integral of the cross term of the state and the sampled state. When estimating the derivative of the Lyapunov-like functional, superior integral inequalities to Jensen inequality are employed to get a tighter upper bound. By the Lyapunov-like functional principle, sampling-interval-dependent stability results are derived. Then, the stability results are extended to aperiodic sampled-data systems with polytopic uncertainties. Finally, some examples are listed to show the stability results have less conservatism than some existing ones.