Many natural and artificial systems and processes encompass several modes of operation
with a different dynamical behavior in each mode. Switched systems provide a suitable …

We consider the problem of computing the root-mean-square (RMS) gain of switched linear
systems. We develop a new approach which is based on an attempt to characterize the …

Absolute stability theory is an important and historically the first systematic part of automatic
control theory. The ideas and methods developed by its founders influenced subsequent …

We consider a continuous-time bilinear control system (BCS) with Metzler matrices. Each
entry in the transition matrix of such a system is nonnegative, making the positive orthant an …

We consider planar bilinear control systems with measurable controls. We show that any
point in the reachable set can be reached by a ldquonicerdquo control, specifically, a control …

A powerful approach for analyzing the stability of continuous-time switched systems is based
on using tools from optimal control theory to characterize the “most unstable” switching law …

A powerful approach for analyzing the stability of continuous-time switched systems is based
on using optimal control theory to characterize the “most unstable” switching law. This …

This thesis deals with the stability analysis of switched linear systems. Such systems are
characterised by a mixture of continuous dynamics and logic-based switching between …

Many practical systems can be modelled as switched systems, whose stability problem is
challenging even for linear subsystems. In this article, the stability problem of second-order …

The problem of absolute stability is one of the oldest open problems in the theory of control.
Even for the particular case of second-order systems a complete solution was presented …