Skip to main content
eScholarship
Open Access Publications from the University of California

UC Santa Cruz

UC Santa Cruz Previously Published Works bannerUC Santa Cruz

Sufficient conditions for asymptotic stability and feedback control of set dynamical systems

Abstract

In this paper, stability properties for discrete-time dynamical systems with set-valued states are studied. We use previous results on detectability and invariance properties to present an extension of Krasovskii and Lyapunov stability results for set dynamical systems, under the assumption of outer semicontinuity of the set-valued maps that define the system's dynamics. We also propose a formulation for closed-loop control systems with state-feedback, within the framework of set dynamical systems. Examples illustrate the results.

Many UC-authored scholarly publications are freely available on this site because of the UC's open access policies. Let us know how this access is important for you.

Main Content
For improved accessibility of PDF content, download the file to your device.
Current View