Add to ORKGAbstract — This paper addresses the problem of establishing stability of interconnections of integral input-to-state stable (iISS) systems. Recently, the small-gain theorem for input-to-state stable (ISS) systems has been extended to the class of iISS systems. It has been also proved that at least one of the two iISS subsystems comprising a feedback interconnection needs to be ISS with respect to the state of the other subsystem for guaranteeing the iISS of the overall system. This paper shows that making use of this necessary condition enables to provide more insight on the iISS small gain theorem by giving an alternative proof of this result from the perspective of transient plus ISS small-gain regulation. I
Input-to-state stability (ISS) and L₂-gain are wellknown robust stability properties that continue t...
Abstract. We consider interconnections of n nonlinear subsystems in the input-to-state stability (IS...
Scaling of Lyapunov functions has been a central tool in analysis and design of nonlinear systems. I...
International audienceThis paper addresses the problem of establishing stability of interconnections...
International audienceRecently, the small-gain theorem for input-to-state stable (ISS) systems has b...
This technical report addresses necessary conditions and sufficient conditions for stability of inte...
This technical report addresses necessary conditions and sufficient conditions for stability of inte...
A general input-to-state stability (ISS)-type small-gain result is presented. It specializes to a sm...
This paper is devoted to the problem of stability analysis for interconnected integral input-to-stat...
International audienceIn a recent paper, we have introduced the notion of Strong iISS as a compromis...
International audienceFor an ISS system, by analyzing local and non-local properties, it is obtained...
We consider arbitrarily many interconnected integral Input-to-State Stable (iISS) systems in an arbi...
Input-to-state stability (ISS) of a feedback interconnection of two discrete-time ISS systems satisf...
Abstract—Input-to-state stability (ISS) and L2-gain are well-known robust stability properties that ...
The goal of this paper is to provide a Lyapunov statement and proof of the recent nonlinear small-ga...
Input-to-state stability (ISS) and L₂-gain are wellknown robust stability properties that continue t...
Abstract. We consider interconnections of n nonlinear subsystems in the input-to-state stability (IS...
Scaling of Lyapunov functions has been a central tool in analysis and design of nonlinear systems. I...
International audienceThis paper addresses the problem of establishing stability of interconnections...
International audienceRecently, the small-gain theorem for input-to-state stable (ISS) systems has b...
This technical report addresses necessary conditions and sufficient conditions for stability of inte...
This technical report addresses necessary conditions and sufficient conditions for stability of inte...
A general input-to-state stability (ISS)-type small-gain result is presented. It specializes to a sm...
This paper is devoted to the problem of stability analysis for interconnected integral input-to-stat...
International audienceIn a recent paper, we have introduced the notion of Strong iISS as a compromis...
International audienceFor an ISS system, by analyzing local and non-local properties, it is obtained...
We consider arbitrarily many interconnected integral Input-to-State Stable (iISS) systems in an arbi...
Input-to-state stability (ISS) of a feedback interconnection of two discrete-time ISS systems satisf...
Abstract—Input-to-state stability (ISS) and L2-gain are well-known robust stability properties that ...
The goal of this paper is to provide a Lyapunov statement and proof of the recent nonlinear small-ga...
Input-to-state stability (ISS) and L₂-gain are wellknown robust stability properties that continue t...
Abstract. We consider interconnections of n nonlinear subsystems in the input-to-state stability (IS...
Scaling of Lyapunov functions has been a central tool in analysis and design of nonlinear systems. I...