Exact controllability for some degenerate wave equations
Copyright policy )Exact controllability for some degenerate wave equations
In this paper, we study one‐dimensional linear degenerate wave equations with a distributed controller. We establish observability inequalities for degenerate wave equation by multiplier method. We also deduce the exact controllability for degenerate wave equation by Hilbert uniqueness method when the control acts on the nondegenerate boundary. Moreover, an explicit expression for the controllability time is given.
- Shanxi University China (People's Republic of)
- Jinzhong University China (People's Republic of)
Controllability, boundary control, Control/observation systems governed by partial differential equations, observability, degenerate wave equation, Initial-boundary value problems for second-order hyperbolic equations, controllability
Controllability, boundary control, Control/observation systems governed by partial differential equations, observability, degenerate wave equation, Initial-boundary value problems for second-order hyperbolic equations, controllability
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