Symposium of New Trends in Nonlinear Dynamics and Control, and their Applications

这项资助将支持一个为期两天的“非线性动力学和控制的新趋势及其应用”研讨会，该研讨会将于2002年9月19日至20日在加利福尼亚州蒙特雷的海军研究生院举行。会议将集中讨论非线性动力学及其应用的新发展，如非线性观测器设计、协同控制、流量控制和分岔控制。专题讨论会将包括几次邀请的50分钟的演讲和一系列较短的发言，每次约20分钟。主办单位计划将这次会议的会议记录以书籍的形式出版。技术的快速变化不断给系统和控制领域的研究人员，特别是非线性控制领域的研究人员带来新的挑战和新的机遇。材料科学、主动致动器和传感器以及流体力学的进步对开发有限和无限维复杂非线性系统的控制器提出了挑战。非线性系统模型是非线性控制研究人员特别感兴趣的，包括流体动力学、流动控制、智能材料和化学反应。这些复杂系统的非线性不仅会导致不稳定，还会导致周期解、分岔和混沌。最近的研究表明，控制这类系统实现稳定或不稳定是有希望的。协同控制是非线性系统研究的另一个热点。计算和通信的最新进展使得以合作方式同时操作大量自主或半自主代理成为可能。这样的系统所包含的非线性比单个系统所显示的要复杂得多。涉及多个非线性系统的协同控制问题具有广泛的应用。专题讨论会期间的若干介绍和讨论将涉及与合作控制及其应用有关的问题（例如，控制卫星星座、多种弹药）。研讨会将为成熟和年轻的研究人员提供一个机会，就未来研究的新发展和方向交换意见。这些新的挑战需要回顾过去非线性控制理论的主要发展，并讨论新的研究趋势，以满足日益增长的工业应用需求。研讨会将讨论非线性系统与控制理论的新发展，如非线性观测器、分岔与控制、湍流与控制。

0206627XiaoThis grant will support a two-day symposium on "New Trends in Nonlinear Dynamics and Control, and Their Applications," to be held at the Naval Postgraduate School in Monterey, California from September 19-20, 2002. The conference will focus on new and innovative developments in nonlinear dynamics and its applications, such as nonlinear observer design, cooperative control, flow control, and bifurcation control. The symposium will include several invited 50-minute talks and a series of shorter contributed presentations of approximately 20 minutes each. The organizers plan to publish proceedings of this meeting in book form. The rapid pace of change in technology constantly presents new challenges and new opportunities to researchers in systems and control, especially those in nonlinear control. Advances in materials science, active actuators and sensors, and fluid mechanics challenge the community to develop controllers for complex nonlinear systems of both finite and infinite dimensions. Models of nonlinear systems that are especially interesting to researchers in nonlinear control include fluid dynamics, flow control, smart materials, and chemical reactions. The nonlinearity of these complex systems leads not just to instability but also to periodic solutions, bifurcations, and chaos. Recent research shows promise for controlling such systems to achieve stability or instability. Cooperative control is another research topic of nonlinear systems that is attracting increasing attention. Recent advances in computing and communications make it possible to operate a large number of autonomous or semi-autonomous agents simultaneously in a cooperative manner. Such systems involve nonlinearities that are far more complicated than those exhibited by a single system. Problems involving cooperative control of multiple nonlinear systems are found to have numerous applications. Several of the presentations and discussions during the symposium will address issues related to cooperative control and its applications (e.g., control of a satellite constellation, multiple munitions). The symposium will provide an opportunity for both well-established and young researchers to exchange ideas on new developments and directions for future research. These new challenges require a review of major developments in nonlinear control theory from the past and to discuss new research trends to meet the ever-increasing needs of industrial applications. Major topics to be addressed in the symposium include new developments in the theory of nonlinear systems and control such as nonlinear observers, bifurcations and control, and turbulence and control.