Survey of Time Varying and Nonlinear Descriptor Control Systems. (Reannouncementwith New Availability Information)

摘要

Proc. 1992 Intern. Symp. on Implicit and Nonlinear Systems, Automation andRobotics Res. Inst, Arlington, Texas, 356-363 the mathematical results on the structure of matrix pencils are well known in the control community. This theory has been heavily exploited by control theorists working with linear time invariant control problems in descriptor form. The structure and properties of time varying and nonlinear descriptor systems are less well known in the systems and control community since most of these results has been developed in recent years and published outside of the usual control literature by analysts and numerical analysts. This nonlinear theory has taken on a very different appearance from that of the linear time invariant theory. This survey talk will discuss what is known about nonlinear and time varying descriptor systems. Both analytical results and numerical methods will be mentioned. Hopefully this will give the listener some idea of what tools are available for attacking control problems and what types of assumptions may be necessary in order to apply these results.