Title :
Periodic stability and reachability of nonlinear parabolic equations
Author_Institution :
Dept. of Econ., Senshu Univ., Kawasaki, Japan
Abstract :
The author studies the asymptotic behavior and the reachable sets of solutions of nonlinear parabolic equations when periodic or asymptotically periodic perturbations are given through the boundary. Introducing an inequality condition on the system parameters, period, and constants on the elliptic operator with boundary conditions and on the nonlinear term, the author shows the asymptotically periodic stability and reachability of the solutions
Keywords :
distributed parameter systems; nonlinear equations; parabolic equations; stability; asymptotically periodic perturbations; boundary conditions; inequality condition; nonlinear parabolic equations; periodic stability; reachability; Asymptotic stability; Boundary conditions; Differential equations; Nonlinear equations; Power generation economics;
Conference_Titel :
Decision and Control, 1991., Proceedings of the 30th IEEE Conference on
Conference_Location :
Brighton
Print_ISBN :
0-7803-0450-0
DOI :
10.1109/CDC.1991.261104
