Stability of distributed parameter systems.A theorem is derived for the stability of solutions of general linear partial differential equations. A norm of the state space in the form of multiple integrals over the spatial domain is used for the Liapunov functional. Theorems and lemmas are also given for linear time-invariant constant coefficient distributed parameter systems, a class of nonlinear distributed parameter systems and for others with a Lure-type nonlinearity. The theorem conditions are similar to those known for corresponding ordinary differential equations but with operators replacing matrices.
Document ID
19720054581
Acquisition Source
Legacy CDMS
Document Type
Conference Proceedings
Authors
Park, K. E. (Rochester, University, Rochester, N.Y.; NASA, Ames Research Center Systems Analysis Branch, Moffett Field, Calif., United States)
Kinnen, E. (Rochester, University Rochester, N.Y., United States)