Mathematical Sciences: Differential Geometric and Real Analytic Methods in Nonlinear Control Theory

首席研究员将研究非线性控制理论中的广泛问题，包括局部和全局可控性、可观察性和最小实现。特别强调将放在非线性稳定和非完整运动规划。非线性控制技术有许多实际应用，从机器人到在遥远的行星上着陆的空间探测器。这是非线性数学在现代世界的力量和适用性的一个例子。

The principal investigator will work on a broad class of problems from nonlinear control theory, including local and global controllability, observability, and minimal realizations. Special emphasis will be placed on nonlinear stabilization and nonholonomic motion planning. The techniques of nonlinear control have many practical applications from robotics to landing a space probe on some distant planet. It is one example of the power and applicability of nonlinear mathematics in the modern world.