This paper reviews the vast literature on static output feedback design for linear time-
invariant systems including classical results and recent developments. In particular, we …

The affine rank minimization problem consists of finding a matrix of minimum rank that
satisfies a given system of linear equality constraints. Such problems have appeared in the …

Die hier angesprochene Unterscheidung zwischen stetigen und diskreten Problemen ergibt
sich aus den sehr unterschiedlichen Lösungsansätzen. Grob gesprochen kann man bei …

We consider the design of optimal state feedback gains subject to structural constraints on
the distributed controllers. These constraints are in the form of sparsity requirements for the …

This paper presents a Newton-like algorithm for solving systems of rank constrained linear
matrix inequalities. Though local quadratic convergence of the algorithm is not a priori …

This paper addresses several challenging problems of robust filtering. We derive new linear
matrix inequality (LMI) characterizations of minimum variance or H/sub 2/performance and …

This paper discusses nonlinear optimization techniques in robust control synthesis, with
special emphasis on design problems which may be cast as minimizing a linear objective …

In this paper we propose a global algorithm for solving nonlinear semidefinite programming
problems. This algorithm, inspired by the classic SQP (sequentially quadratic programming) …

This paper investigates an iterative approach to solve the general rank-constrained
optimization problems (RCOPs) defined to optimize a convex objective function subject to a …

In this paper we develop an augmented Lagrangian method to determine local optimal
solutions of the reduced-and fixed-order synthesis problems. We cast these synthesis …