Linear matrix equations, such as the Sylvester and Lyapunov equations, play an important
role in various applications, including the stability analysis and dimensionality reduction of …

This paper is concerned with the optimal static distributed control problem for linear discrete-
time deterministic and stochastic systems. The objective is to design a stabilizing static …

Lyapunov equations with low-rank right-hand sides often have solutions whose singular
values decay rapidly, enabling iterative methods that produce low-rank approximate …

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) …

Truncated LSQR for matrix least squares problems | Computational Optimization and
Applications Skip to main content Advertisement Springer Nature Link Account Menu Find a …

Low-rank tensor approximation techniques attempt to mitigate the overwhelming complexity
of linear algebra tasks arising from high-dimensional applications. In this work, we study the …

This chapter provides an introduction to the concept of system balancing. An overview of the
historical development is given, and application areas for balancing-based model reduction …

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 …

We show that the Gramians of a control system with an analytic semigroup, control and
observation operators that are not too unbounded and which have finite-dimensional input …

We focus on the problem of optimal control of large-scale systems whose models are
obtained by discretization of partial differential equations using the Finite Element (FE) or …