Input-to-state dynamical stability and its Lyapunov function characterization
نویسندگان
چکیده
منابع مشابه
Input-to-state dynamical stability and its Lyapunov function characterization
We present a new variant of the input–to–state stability (ISS) property which is based on using a one–dimensional dynamical system for building the class KL function for the decay estimate and for describing the influence of the perturbation. We show the relation to the original ISS formulation and describe characterizations by means of suitable Lyapunov functions. As applications, we derive qu...
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This paper introduces appropriate concepts of input-to-state stability (ISS) and integral-ISS for impulsive systems, i.e., dynamical systems that evolve according to ordinary differential equationsmost of the time, but occasionally exhibit discontinuities (or impulses). We provide a set of Lyapunov-based sufficient conditions for establishing these ISS properties. When the continuous dynamics a...
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This paper develops a novel characterization of uniform input-to-state stability (UISS) in terms of vector Lyapunov functions. The motivation is coming from the problem of robust global stabilization of the chemostat and in particular from anaerobic digestion processes, which are characterized by narrow stability regions and extreme sensitivity to external perturbations, if operated under optim...
متن کاملInput-to-state stability and interconnections of discontinuous dynamical systems
In this paper we will extend the input-to-state stability (ISS) framework introduced by Sontag to continuous-time discontinuous dynamical systems adopting Filippov’s solution concept and using non-smooth ISS Lyapunov functions. The main motivation for investigating non-smooth ISS Lyapunov functions is the recent focus on “multiple Lyapunov functions” for which feasible computational schemes are...
متن کاملInput-to-state stability and interconnections of discontinuous dynamical systems
In this paper we will extend the input-to-state stability (ISS) framework introduced by Sontag to continuous-time discontinuous dynamical systems adopting Filippov’s solution concept and using non-smooth ISS Lyapunov functions. The main motivation for investigating non-smooth ISS Lyapunov functions is the recent focus on “multiple Lyapunov functions” for which feasible computational schemes are...
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ژورنال
عنوان ژورنال: IEEE Transactions on Automatic Control
سال: 2002
ISSN: 0018-9286
DOI: 10.1109/tac.2002.802761