Asymptotic stability of the exact boundary controllability of nodal profile for 1D quasi‐linear wave equations

2020 ◽  
Vol 43 (4) ◽  
pp. 1500-1515
Author(s):  
Ke Wang ◽  
Libin Wang
Keyword(s):  
Asymptotic Stability ◽  
Wave Equations ◽  
Linear Wave ◽  
Exact Boundary Controllability ◽  
Boundary Controllability ◽  
Exact Boundary ◽  
Linear Wave Equations

Asymptotic stability of the exact boundary controllability of nodal profile for quasilinear hyperbolic systems

2020 ◽  
Vol 26 ◽  
pp. 67 ◽  
Author(s):  
Libin Wang ◽  
Ke Wang
Keyword(s):  
Asymptotic Stability ◽  
Control Function ◽  
Hyperbolic Systems ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Boundary Function ◽  
Exact Boundary Controllability ◽  
Boundary Controllability ◽  
Quasilinear Hyperbolic Systems ◽  
Exact Boundary

In this paper, we consider the asymptotic stability of the exact boundary controllability of nodal profile for quasilinear hyperbolic systems. We will prove that if the nodal profile and the given boundary function possess an exponential or polynomial decaying property, then the boundary control function and the solution to the corresponding mixed initial-boundary value problem will possess the same decaying property.

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