Preprint

Gradient algorithms for finding common Lyapunov functions

Daniel LiberzonCoordinated Sci. Lab., Illinois Univ., Urbana, IL, USA#TAB#Roberto TempoPolytechnic University of Turin

ArXiv.orgrepository2002en

ABI

Abstract

This paper is concerned with the problem of finding a quadratic common Lyapunov function for a family of stable linear systems. We present gradient iteration algorithms which give deterministic convergence for finite system families and probabilistic convergence for infinite families.

Topics

Stability and Control of Uncertain Systems Neural Networks Stability and Synchronization Control Systems and Identification

Identifiers

DOI: 10.48550/arxiv.math/0206191

Citations and references

Cited by 015 references

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