2014/12/15 by You, Seungil, Gattami, Ather
#FOS: Electrical engineering #FOS: Mathematics #Optimization and Control (math.OC) #Systems and Control (eess.SY) #electronic engineering #information engineering
paper · doi:10.48550/arxiv.1412.6160
This paper proposes a direct, and simple approach to the H infinity norm calculation in more general settings. In contrast to the method based on the Kalman-Yakubovich-Popov lemma, our approach does not require a controllability assumption, and returns a sinusoidal input that achieves the H infinity norm of the system including its frequency. In addition, using a semidefinite programming duality, we present a new proof of the Kalman- Yakubovich-Popov lemma, and make a connection between strong duality and controllability. Finally, we generalize our approach towards the generalized Kalman-Yakubovich-Popov lemma, which considers input signals within a finite spectrum.