This paper reviews the static output feedback problem in the control of linear, time-invariant
(LTI) systems. It includes analytical and computational methods and presents in a unified …

The state-space approaches have stayed in an absolutely dominant position in the field of
systems and control for over a half century. Although a state-space representation is more …

In this paper, three types of uncertain high-order nonlinear models are firstly proposed,
namely, a single high-order fully actuated (HOFA) model with nonlinear uncertainties, an …

Despite the enormous benefit that has accrued to society from control technology and the
continued vitality of control science as a research field, there is broad consensus that the …

The purpose of this paper is twofold:(a) to provide a tutorial introduction to some key
concepts from the theory of computational complexity, highlighting their relevance to …

In this note, the static output feedback stabilization problem is addressed using the linear
matrix inequality technique. A necessary and sufficient condition for static output feedback …

Let f be a continuous function on \Rl^n, and suppose f is continuously differentiable on an
open dense subset. Such functions arise in many applications, and very often minimizers …

We show that some basic linear control design problems are NP-hard, implying that, unless
P= NP, they cannot be solved by polynomial time algorithms. The problems that we consider …

This note presents a new sufficient condition for the static output feedback stabilization of
linear discrete-time systems. This new condition is expressed as a linear matrix inequality …

We study the synthesis problem of a linear quadratic regulator (LQR) controller when the
matrix describing the control law is constrained to lie in a particular vector space. Our …