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...

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...

In this paper we consider the input-ouput stability of feedback systems consisting of a continuous-time, linear, time-varying plant with a discrete-time, linear time-varying controller. These results generalize some of the results of Chen and Francis where the plant is restricted to be time-invariant.

This paper presents a new approach for estimating and improving voltage stability margin from phase and magnitude profile of bus voltages using sensitivity analysis of Voltage Stability Assessment Neural Network (VSANN). Bus voltage profile contains useful information about system stability margin including the effect of load-generation, line outage and reactive power compensation so, it is ad...

We analyze input-to-state stability (ISS) for the feedback interconnection of a linear block and a nonlinear element. This study is of importance for establishing robustness against actuator nonlinearities and disturbances. In the absolute stability framework, we prove ISS from a positive real property of the linear block, by restricting the sector nonlinearity to grow unbounded as its argument...

In this work we discuss several notions on input-to-output stability for discrete time systems. We first discuss how the notions differ from each other, then we provide Lyapunov characterizations for these input-to-output stability properties. Copyright c ©2005 IFAC

We show that the well-known Lyapunov sufficient condition for "input-to-state stability" (ISS) is also necessary, settling positively an open question raised by several authors during the past few years. Additional characterizations of the ISS property, including one in terms of nonlinear stability margins, are also provided.

In this paper, the geometric approach and the bond-graph methodology are combined to characterize the structure of square linear systems modeled by bond-graph. A new concept is defined to emphasize the symbolic expressions of the fixed modes of the decoupled model and to design decoupling state feedback laws.

It is well known that input-to-state stability admits an astonishing number of equivalent characterizations. Here it is shown that for monotone systems on R+ there are some additional characterizations that are useful for network stability analysis. These characterizations include system theoretic properties, algebraic properties, as well as the problem of finding simultaneous bounds on solutio...

The notion of input-to-state stability (ISS) is now recognized as a central concept in nonlinear systems analysis. It provides a nonlinear generalization of finite gains with respect to supremum norms and also of finite 2 gains. It plays a central role in recursive design, coprime factorizations, controllers for nonminimum phase systems, and many other areas. In this paper, a newer notion, that...