Absolute stability via boundary control of a semilinear parabolic PDE
作者： G. Hagen
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摘要: We consider the problem of achieving global absolute stability an unstable equilibrium solution a semilinear dissipative parabolic partial differential equation (PDE) through boundary control. The state space system is extended in order to write action control as unbounded operator abstract evolution equation. Absolute via accomplished by analyzing Lyapunov function based on infinite-dimensional dynamics and applying finite-dimensional linear quadratic regulator (LQR) controller. Sufficient conditions for are established feasibility two matrix inequalities (LMIs). Numerical results presented Dirichlet controlled system, however analysis this work applies Nuemann Robin type controllers well.
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