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 …

This work proposes the control of an autonomous vehicle using a Lyapunov-based
technique with a LQR-LMI tuning. Using the kinematic model of the vehicle, a non-linear …

We present a technique for learning control Lyapunov-like functions, which are used in turn
to synthesize controllers for nonlinear dynamical systems that can stabilize the system, or …

The optimization problem with the Bilinear Matrix Inequality (BMI) is one of the problems
which have greatly interested researchers of system and control theory in the last few years …

This monograph is concerned with the problem of designing low-order/fixedstructure
feedback controllers for uncertain dynamical systems. Feedback controllers are required to …

The μ/Km‐synthesis formulation for robust controller synthesis with frequency dependent
scalings/multipliers is shown to be equivalent to a bilinear matrix inequality (BMI) feasibility …

This two-part paper is concerned with the problem of minimizing a linear objective function
subject to a bilinear matrix inequality (BMI) constraint. In this part, we first consider a family of …

This paper presents a simplified parameterization of all H∞ static state-feedback controllers
in terms of a single algebraic Riccati equation and a free parameter matrix. As a special …

Practical control problems often deal with uncertain systems depending on parametric and
possibly time-varying uncertainties. Quadratic stability theory and recent advances in convex …

Bilinear matrix inequality (BMI) problems in system and control designs are investigated in
this paper. A solution method of reduction of variables (MRVs) is proposed. This method …