Stabilizability for boundary-value control systems using symbolic calculus of pseudo-differential operators
The paper considers control systems which are constructed from certain pseudo-differential and boundary-value operators. The system contains the derivative control which is after a change of variables included in many such situations where the control variables (originally) appear in the boundary condition. Sufficient analytical conditions for some stability properties of the transfer function are shown. In addition, we describe some methods to compute the transfer function by means of symbolic calculus. An illustrative example is considered as well.
KeywordsTransfer Function Trace Operator Distribute Parameter System Symbolic Calculus Quasilinear Parabolic Problem
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