【摘 要】
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The paper is concerned with the control of a fluid flow system governed by nonlinear hyperbolic partial differential equations.We study local stability of s
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The paper is concerned with the control of a fluid flow system governed by nonlinear hyperbolic partial differential equations.We study local stability of spatially heterogeneous equilibrium states by using Lyapunov approach.We present a strict Lyapunov function for time-invariant hyperbolic systems and establish a necessary and sufficient condition for exponential stability of null equilibrium state.A systematic design of proportional and integral controllers is proposed for the flow system based on the linearized model.
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