Descriptor systems in the 1990s

Author

Campbell, Stephen L.

Author_Institution

Dept. of Math., North Carolina State Univ., Raleigh, NC, USA

fYear

1990

fDate

5-7 Dec 1990

Firstpage

442

Abstract

After briefly summarizing the growth in the theory of descriptors, or differential algebraic equations (DAEs), over the last two decades, the current challenges and potential successes are discussed. Among these major challenges facing DAE theory are: numerical software for index 3 systems; implicit Runge-Kutta code for low index problems; boundary value problem numerical codes; linearization; new numerical techniques; the initialization problem; direct control information computing; parameter identification; noisy systems; utilization of constraints; implementation for time invariant control; extra derivatives; large-scale DAEs; real-time simulation: and new types of systems

Keywords

Runge-Kutta methods; algebra; control theory; differential equations; boundary value problem; derivatives; descriptor systems; differential algebraic equations; implicit Runge-Kutta code; index 3; linearization; parameter identification; simulation; time invariant control; Aerospace control; Control systems; Differential algebraic equations; Differential equations; Jacobian matrices; Mathematics; Nonlinear equations; Partial differential equations; Robots; Scientific computing;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1990., Proceedings of the 29th IEEE Conference on

Conference_Location

Honolulu, HI

Type

conf

DOI

10.1109/CDC.1990.203638

Filename

203638