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Advances on the transient growth quantification in linear control systems

Georgi Smirnov, Vladimir Bushenkov, Francisco Miranda


A single-input controllable control system is considered. By the pole assignment theorem, there exists a linear feedback yielding a linear differential equation with any given set of eigenvalues. It is shown that there is a large deviation of the solutions from the equilibrium position at the beginning of the stabilization process, whenever the module of the eigenvalues is very small or very big.


large deviation of solutions, peak effect, stabilization process, linear control systems

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