Topic
Autonomous system (mathematics)
About: Autonomous system (mathematics) is a research topic. Over the lifetime, 1648 publications have been published within this topic receiving 38373 citations.
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12 Jun 2019TL;DR: A generative policy framework that can generate policies for an autonomous system when conditions change, and how these policies are dynamically generated based on the availability and trustworthiness of data in a coalition environment is proposed.
Abstract: Policy-based mechanisms are used to implement desired autonomic behavior of a managed system in a distributed environment. For modern dynamically changing systems, policy-based mechanisms tend to be too rigid, and quickly lose their efficacy when conditions of the autonomous system change during its operation. In this paper, we propose a generative policy framework that can generate policies for an autonomous system when conditions change. For changed conditions, the policy generation manager dynamically generates new set of policies optimized for the new situation. As a use case, we demonstrate how our generative policy framework generates policies for selecting optimal data for an AI model training. The policies are dynamically generated based on the availability and trustworthiness of data in a coalition environment.
4 citations
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TL;DR: In this paper, the authors derived explicit delay-dependent stability conditions that are applicable to a family of time-delayed systems with simultaneously triangularizable system matrices and employed diagonal delayed feedback controls of conventional and Pyragas type to stabilize unstable steady states of the studied autonomous system.
4 citations
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4 citations
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01 Jan 1999
4 citations
01 Jan 2007
TL;DR: In this article, the authors study the stability of attractors under non-autonomous perturbations that are uniformly small in time and show that all trajectories converge to one of the hyperbolic trajectories as t! 1.
Abstract: We study the stability of attractors under non-autonomous perturbations that are uniformly small in time. While in general the pullback attractors for the nonautonomous problems converge towards the autonomous attractor only in the Hausdorfi semi-distance (upper semicontinuity), the assumption that the autonomous attractor has a ‘gradient-like’ structure (the union of the unstable manifolds of a flnite number of hyperbolic equilibria) implies convergence (i.e. also lower semicontinuity) provided that the local unstable manifolds perturb continuously. We go further when the underlying autonomous system is itself gradient-like, and show that all trajectories converge to one of the hyperbolic trajectories as t ! 1. In flnite-dimensional systems, in which we can reverse time and apply similar arguments to deduce that all bounded orbits converge to a hyperbolic trajectory as t ! i1, this implies that the ‘gradient-like’ structure of the attractor is also preserved under small non-autonomous perturbations: the pullback attractor is given as the union of the unstable manifolds of a flnite number of hyperbolic trajectories.
4 citations