A Note on Overshoot Estimation in Pole Placements
classification
🧮 math.OC
keywords
matrixnoteovershoottransitionboundedchoicechosencontrollable
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In this note we show that for any given controllable pair (A,B) and any c> 1, a gain matrix K can be chosen so that the transition matrix of the system x' = (A+BK)x decays at the exponential rate exp(-ct) and the overshoot of the transition matrix can be bounded by Mc^L for some M and L that are independent of the choice of c.
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