In control of vibrations, diffusion and many other problems governed by partial differential
equations, there is freedom in the choice of actuator location. The actuator location should …

This article proposes a method that combines linear quadratic Gaussian (LQG) control
design and structure preserving model reduction for the reduced order control of infinite …

4.1 Introduction During the past decades, considerable advances have been made in the
numerical simulation of controlled distributed parameter systems (DPS). In the opinion of this …

We consider operator-valued differential Lyapunov and Riccati equations, where the
operators B and C may be relatively unbounded with respect to A (in the standard notation) …

Results of transfer function analysis for a class of distributed parameter systems described
by dissipative hyperbolic partial differential equations defined on a one-dimensional spatial …

We prove the H-infinity error bounds for Lyapunov balanced truncation and for optimal
Hankel norm approximation under the assumption that the Hankel operator is nuclear. This …

The choice of the location of controllers and observations is of great importance for
designing control systems and improving the estimations in various practical problems. For …

Model reduction is an important engineering problem in which one aims to replace an
elaborate model by a simpler model without undue loss of accuracy. The accuracy can be …

We show that control systems with an analytic semigroup and control and observation
operators that are not too unbounded have a Hankel operator that belongs to the Schatten …

Lyapunov functions play a vital role in the context of control theory for nonlinear dynamical
systems. Besides their classical use for stability analysis, Lyapunov functions also arise in …