Convex analysis and non-trivial invariant subspaces
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DOI: 10.1007/s11117-019-00682-4
Abstract: We establish sufficient conditions for the existence of invariant subspaces for operators on real Banach spaces, and we investigate the behaviour of operators without such subspaces. All proofs are elementary. read more here.
Keywords: trivial invariant; convex analysis; non trivial; analysis non ... See more keywords
Convex Analysis and Duality over Discrete Domains
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DOI: 10.1007/s40305-017-0158-2
Abstract: The aim of this paper is to establish a fundamental theory of convex analysis for the sets and functions over a discrete domain. By introducing conjugate/biconjugate functions and a discrete duality notion for the cones… read more here.
Keywords: duality; discrete domains; convex analysis; duality discrete ... See more keywords
Formation Control of Multiagent Systems With Communication Noise: A Convex Analysis Approach
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DOI: 10.1109/tcyb.2019.2936347
Abstract: Under practical environments, some certain noises may arise from the communication of agents due to electromagnetic interference, sensor error, and other disturbances, which are usually modeled by additive noise in the relative position state between… read more here.
Keywords: communication; formation control; convex analysis; formation ... See more keywords