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首页> 外文期刊>Nonlinear analysis. Real world applications >Complexity, robustness, self-organization, swarms, and system thermodynamics
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Complexity, robustness, self-organization, swarms, and system thermodynamics

机译：复杂性，鲁棒性，自组织性，群体和系统热力学

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In this paper. we develop a thermodynamic framework for addressing consensus problems for Eulerian swarm models. Specifically, we present a distributed boundary controller architecture involving the exchange of information between uniformly distributed swarms over an n-dimensional (not necessarily Euclidian) space that guarantees that the closed-loop system is consistent with basic thermodynamic principles. in addition, we establish the existence of a unique continuously differentiable entropy functional for all equilibrium and non-equilibrium states of our thermodynamically consistent dynamical system. Information consensus and semistability are shown using the well-known Sobolev embedding theorems and the notion of generalized (or weak) solutions. Finally, since the closed-loop system is guaranteed to satisfy basic thermodynamic principles, robustness to individual agent failures and unplanned individual agent behavior is automatically guaranteed. (C) 2008 Elsevier Ltd. All rights reserved.
机译：在本文中。我们开发了一个热力学框架来解决欧拉群模型的共识问题。具体而言，我们提出了一种分布式边界控制器体系结构，该体系结构涉及在n维（不一定是欧几里得）空间上均匀分布的群体之间交换信息，这保证了闭环系统与基本热力学原理是一致的。此外，我们为热力学一致的动力学系统的所有平衡和非平衡状态建立了一个独特的连续可微熵函数。使用众所周知的Sobolev嵌入定理和广义（或弱）解的概念来显示信息的一致性和半稳定性。最后，由于保证了闭环系统满足基本的热力学原理，因此自动确保了对单个代理故障的鲁棒性和计划外的单个代理行为。 （C）2008 Elsevier Ltd.保留所有权利。

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