Changing Supply Functions in Input/State Stable Systems

Changing supply functions in input to state stable systems: the discrete-time case

We characterize possible supply rates for input-to-state stable discrete-time systems and provide results that allow some freedom in modifying the supply rates. In particular, we show that the results reported in [7] for continuous-time systems are achievable for discrete-time systems.

Changing Supply Rates for Input Output to Sta Testable Discrete Time Systems

We present results on changing supply rates for input output to state stable IOSS discrete time nonlinear systems Our results can be used to combine tw o Lyapunov functions none of which can be used to verify that the system has a certain property into a new Lyapunov function from which the property of interest can be concluded We present tw o applications of our results to discrete time system...

Changing supply rates for input-output to state stable discrete-time nonlinear systems with applications

Integral Input to State Stable systems in cascade

The Integral Input to State Stability (iISS) property is studied is the context of nonlinear time-invariant systems in cascade. Some sufficient conditions for the preservation of the iISS property under a cascade interconnection are presented. Those are first given as growth restrictions on the supply functions of the storage function associated to each subsystem, and then are expressed as solu...

Multiplicity of Positive Solutions of laplacian systems with sign-changing weight functions

In this paper, we study the multiplicity of positive solutions for the Laplacian systems with sign-changing weight functions. Using the decomposition of the Nehari manifold, we prove that an elliptic system has at least two positive solutions.