4 papers
Compositional small-gain and small-phase stability analysis
Anton Ponomarev
We adapt the small-gain and small-phase stability analysis to systems composed of MIMO LTI subsystems via an iteration of the series, parallel, and feedback interconnections. Based…
Period-aware asymptotic gain with application to a periodically forced synchronization circuit
Anton Ponomarev, Lutz Gröll, Veit Hagenmeyer
The classical asymptotic gain (AG) is a concept known from the input-to-state stability theory. Given a uniform input bound, AG estimates the asymptotic bound of the output. Someti…
Numerical estimation of the lock-in domain of a DC/AC inverter
Anton Ponomarev, Lutz Gröll, Veit Hagenmeyer
We estimate the lock-in domain of the origin of a current control system which is used in common DC/AC inverter designs. The system is a cascade connection of a 4-dimensional linea…
Stability of two-dimensional SISO LTI system with bounded feedback gain that has bounded derivative
Anton Ponomarev, Lutz Gröll
We consider a two-dimensional SISO LTI system closed by uncertain linear feedback. The feedback gain is time-varying, bounded, and has a bounded derivative (both bounds are known).…