U.S.- France Cooperative Research(INRIA): Control of Oscillations

0001522 Nussbaum这项为期两年的美法合作研究计算数学和控制理论奖涉及罗格斯大学的Roger Nussbaum、巴黎莱昂纳多·达芬奇大学的Sophie Bismuth、法国罗肯库尔法国国家计算机科学与工程研究所(INRIA)的Marianne Akian和Pierre-Alexandre Bliman。这项研究合作的目的是为了解决振荡控制方面的问题。一类非线性时滞微分方程解具有振动性甚至是周期行为。在生物、化学和力学中可以找到许多这样的系统的例子。研究人员建议考虑具有时滞和继电器的多维系统的分析和综合问题。该奖项代表了美国方面向NSF和法国国家计算机科学与工程研究所(INRIA)提出的联合建议。NSF将支付这名美国调查员的旅费和生活费。Inria将支持法国研究人员访问美国。美国调查人员在微分延迟方程方面很在行。此外，法国在非线性控制系统和具有延迟和周期振荡的系统的行为方面的专业知识也是相辅相成的。该项目将增进我们对微分延迟方程在工业应用中的使用的理解，例如在控制内燃机的燃料/空气比方面。

0001522NussbaumThis two-year award for U.S.-France cooperative research in computational mathematics and control theory involves Roger Nussbaum of Rutgers University, Sophie Bismuth of Leonardo Da Vinci University in Paris, Marianne Akian and Pierre-Alexandre Bliman of the French National Institute for Research in Computer Science and Engineering (INRIA) in Rocquencourt, France. The research collaboration is aimed at problems in control of oscillations. Certain nonlinear differential delay equations demonstrate oscillatory and even periodic behavior. Numerous examples of such systems may be found in biology, chemistry and mechanics. The investigators propose to consider problems related to analysis and synthesis of multi-dimensional systems with delays and relays. This award represents the U.S. side of a joint proposal to the NSF and the French National Institute for Research in Computer Science and Engineering (INRIA). NSF will cover travel funds and living expenses of the U.S. investigator. INRIA will support the French researchers' visits to the United States. The US investigators are expert in differential delay equations. This is complemented by French expertise in nonlinear control systems and behavior of systems with delays and period oscillations. The project will advance our understanding of the use of differential delay equations in industrial applications, for example, in controlling fuel/air ratios in internal combustion engines.