Title :
On state-space models for systems described by partial differential equations
Author :
Zak, Stanislaw H.
Author_Institution :
Purdue University, West Lfayette, Indiana
Abstract :
New first-order partial differential equation (PDE) representations for systems described by higher order PDEs are proposed. Tools for analysis of lumped-distributed systems are suggested: Mikusi??ski´s operational calculus and the 2-D Laplace transform. Next, system equivalence for lumped-distributed systems is defined and discussed. Finally, modal controllability and observability are introduced and compared with the analogous notions for the proper 2-D systems.
Keywords :
Calculus; Controllability; Difference equations; Differential equations; Integral equations; Laplace equations; Linear systems; Observability; Partial differential equations; Power system modeling;
Conference_Titel :
Decision and Control, 1984. The 23rd IEEE Conference on
Conference_Location :
Las Vegas, Nevada, USA
DOI :
10.1109/CDC.1984.272066
