Bopeng Rao

Exact Boundary Controllability for Quasi-Linear Hyperbolic Systems

Using a result on the existence and uniqueness of the semiglobal C1 solution to the mixed initial-boundary value problem for first order quasi-linear hyperbolic systems with general nonlinear boundary conditions, we establish the exact boundary controllability for quasi-linear hyperbolic systems if the C1 norm of initial and final states is small enough.

LOCAL EXACT BOUNDARY CONTROLLABILITY FOR A CLASS OF QUASILINEAR HYPERBOLIC SYSTEMS

For a class of mixed initial-boundary value problem for general quasilinear hyperbolic systems, this paper establishes the local exact boundary controllability with boundary controls only acting on one end. As an application, the authors show the local exact boundary controllability for a kind of nonlinear vibrating string problem.

Exponential Stability of an Abstract Nondissipative Linear System

In this paper we consider an abstract linear system with perturbation of the form

Asymptotic controllability for linear hyperbolic systems

\frac{dy}{dt}= Ay + \varepsilon By

Optimal Energy Decay Rate for Partially Damped Systems by Spectral Compensation

on a Hilbert space

Some problems on nonlinear hyperbolic equations and applications

{\cal H}

On the exactly synchronizable state to a coupled system of wave equations

, where A is skew-adjoint, B is bounded, and

Exact synchronization by groups for a coupled system of wave equations with Dirichlet boundary controls

\varepsilon