Integral Input-to-State Stability of Networked Control Systems

Input-to-state stability of networked control systems

Integral Input-to-State Stability for Interconnected Discrete-Time Systems

In this paper, we investigate integral input-to-state stability for interconnected discrete-time systems. The system under consideration contains two subsystems which are connected in a feedback structure. We construct a Lyapunov function for the whole system through the nonlinearly-weighted sum of Lyapunov functions of individual subsystems. We consider two cases in which we assume that one of...

Integral-Input-Output to State Stability

A notion of detectability for nonlinear systems is discussed. Within the framework of “input to state stability” (ISS), a dual notion of “output to state stability” (OSS), and a more complete detectability notion, “input-output to state stability” (IOSS) have appeared in the literature. This note addresses a variant of the IOSS property, using an integral norm to measure signals, as opposed to ...

Input-output stability analysis of networked control systems

Nygren, J. 2016. Input-Output Stability Analysis of Networked Control Systems. Uppsala Dissertations from the Faculty of Science and Technology 119. 147 pp. Uppsala: Acta Universitatis Upsaliensis. ISBN 978-91-554-9452-0. The main focus of the thesis is to derive stability criteria for networked control system (NCS) models featuring imperfections such as time-varying and constant delays, quanti...

Input-To-State Stability, Integral Input-To-State Stability, and Unbounded Level Sets

We provide partial Lyapunov characterizations for a recently proposed generalization of input-to-state and integral input-to-state stability (ISS and iISS, respectively). This generalization relies on the notion of stability with respect to two measures originally introduced by Movchan [1960]. We show that the two classical Lyapunov characterizations of ISS-type properties, i.e., decrease condi...