Mathematical Sciences: Riccati Equations and Energy Decay Rates in Boundary Control Theory for Partial Differential Equations

主要研究者将研究线性偏微分方程的镇定和最优控制问题。这些问题在物理上有意义，在数学上也有相关性。他们还将研究现有稳定结果的扩展，以涵盖轻度非线性系统。控制理论涉及理解复杂系统如何建模为代数或微分系统了解其环境，处理信息以减少不确定性，计划，生成和执行控制动作的理论方面。它在许多科学和工程领域发挥了重要作用。

The principal investigators will study problems of stabilization and optimal control of linear partial differential equations. These problems are physically meaningful and are mathematically relevant. They also will examine extensions of existing stabilization results to cover mildly nonlinear systems. Control theory deals with the theoretical aspects of understanding how complex systems modelled as algebraic or differential systems learn about its environment, process the information to reduce uncertainty, plan, generate and execute control actions. It has played a major role in many areas of science and engineering.