Equivalent description and stability analysis for discrete-time systems with uniformly distributed uncertainty. (May 2022)

• Record Type: Journal Article
• Authors: Cong, Shen
• Is Part Of: Automatica. Volume 139(2022)
• Publication Date: 2022-05
• Subjects: Discrete-time systems -- Uniformly distributed uncertainty -- Switching systems -- Markov chain -- Stability analysis; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2022.110170
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: We are concerned with discrete-time systems with uncertainty, which is assumed to be uniformly distributed over the unit interval [ 0, 1 ] . To describe this uncertainty, the space { 0, 1 } N, which is composed of all the infinite 0 - 1 sequences and endowed with the Haar measure, actually constitutes the underlying probability space. Therefore, it is shown that for stability analysis, such an uncertain system can be transformed into a switching system with switching sequences having maximal entropy. A stability criterion then is derived from this transformation. An illustrative example is included to show the effectiveness of the theoretical results.