Null controllability of nonlinear control systems governed by coupled degenerate parabolic equations
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Date
2019-11-21
Authors
Xu, Fengdan
Yin, Jingxue
Zhou, Mingjun
Zhou, Qian
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
This article concerns the null controllability of a nonlinear control system governed by coupled degenerate parabolic equations. We first establish the Carleman estimate and the observability inequality for solutions to the conjugate problem. Then we can prove the observability inequality and the null controllability of the linear control system. Finally, the nonlinear control system is shown to be null controllable by a fixed point argument and compact estimates.
Description
Keywords
Null controllability, Coupled degenerate parabolic equations, Carleman estimate
Citation
Xu, F., Yin, J., Zhou, M., & Zhou, Q. (2019). Null controllability of nonlinear control systems governed by coupled degenerate parabolic equations. <i>Electronic Journal of Differential Equations, 2019</i>(123), pp. 1-15.
Rights
Attribution 4.0 International