The iterative rational Krylov algorithm (IRKA) of Gugercin et al.(2008)[8] is an interpolatory
model reduction approach to the optimal H2 approximation problem. Even though the …

This work introduces the empirical cross‐gramian for multiple‐input‐multiple‐output
systems. The cross‐gramian is a tool for reducing the state space of control systems, by …

System Gramian matrices are a well-known encoding for properties of input-output systems
such as controllability, observability or minimality. These so-called system Gramians were …

We present a list of optimal disturbance rejection problems in systems in which the overall
control scheme is required to have a certain structure. These structures correspond to …

This paper studies positive realness and negative imaginariness of state-space symmetric
systems. First, a necessary and sufficient condition is provided for a state-space symmetric …

We present sufficient conditions for integral input-to-state stability (iISS) and strong iISS of
the zero equilibrium pair of continuous-time forced Lur'e systems, where by strong iISS we …

In this paper we address the H∞ control analysis, the output feedback stabilization, and the
output feedback H∞ control synthesis problems for state-space symmetric systems. Using a …

This article considers balanced truncation of discrete-time Hankel-positive systems,
characterized by Hankel matrices whose minors up to order are nonnegative. Our main …

We introduce an approach to H∞ model reduction that is founded on ideas originating in
realization theory, interpolatory H2-optimal model reduction, and complex Chebyshev …

This paper studies negative imaginariness and the static output feedback H∞ control
synthesis of descriptor systems based on the state–space symmetric model. First, under the …