We consider linear plants controlled by dynamic output feedback which are subjected to
blockdiagonal stochastic parameter perturbations. The stability radii of these systems are …

In this paper, we investigate the robustness of stability of linear systems: i:= Ax respectively x
(t+ 1)= Ax (t) under complex or real (i) time-varying linear,(ii) nonlinear,(iii) time-varying …

The problem of calculating the maximal Lyapunov exponent (generalized spectral radius) of
a discrete inclusion is formulated as an average yield optimal control problem. It is shown …

For $ L^{\infty} $-families of time varying matrices centered at an unperturbed matrix, the
Lyapunov spectrum contains the Floquet spectrum obtained by considering periodically …

Estimation of Lyapunov exponents of systems with bounded nonlinearities plays an
essential part in their robust control. Known results in this field are based on the Gronwall …

In this paper we consider robustness measures (stability radii) for system matrices which are
subjected to structured real and complex perturbations of the form A↦ A+ BDC where B, C …

Linear control semigroups L⊂= Gl (d, R) are associated with semilinear control systems of
the form where A: R m→ gl (d, R) is continuous in some open set containing U. The …

We study structural properties of linear time-varying discrete-time systems. At first an
associated system on projective space is introduced as a basic tool to understand the linear …

We consider a perturbed nonlinear system with a xed point that is invariant under all
perturbations. Under the assumption that this xed point is locally exponentially stable for the …

This paper investigates the robustness of time‐varying linear systems under a large class of
complex time‐varying perturbations. Previous results8 which were restricted to bounded …