Active vibration control strategy based on linear matrix inequality for rotor system;

Analysis of pinning control strategies based on linear matrix inequality;

Tracking Control of Nonholonomic Chained-Form System Based on Linear Matrix Inequality

The use of an LMI approach in cooling water temperature control system;

LMI-Based Robust Optimization Model of Loan Portfolio;

Design of Optimal Robust Excitation Controller Based on LMI;

H_∞ control for seismic-excited buildings based on linear matrix inequalities(LMI);

Taking the H 2 performance of the closed-loop vibration systems as a optimization objective,the design problem is converted into a convex optimization problem with linear matrix inequalities(LMIs) constraints,which is numerically tractable,Finally as an example a state-feedback .

By using eliminated element method,the matrix inequalities are changed into linear matrix inequalities.

Using the Lyapunov functional method and the linear matrix inequality(LMI) tech-nique,the global exponential stability of neural networks with time-varying delays is studied.

H2,H∞ and mixed H2/H∞ state feedback control strategies for the rotor system under seismic excitation were developed by linear matrix inequality(LMI) to attenuate the transient vibration of the rotor system under random excitation and make it robust.

Based on the linear matrix inequality(LMI) approach,the system fault diagnosis problem can be solved by using the system s robust stability analysis method.

By applying Lyapunov functional method, this paper studies the robust Absolute stability of neutral Lurie control systems with time-varying uncertainties and presents delay-dependent sufficient conditions for the robust Absolute stability of the systems in terms of linear matrix inequality (LMI).

By using Lyapunov functional method and linear matrix inequality (LMI) approach, the absolute stability of a general neutral type of Lurie indirect control systems was studied.

The negative effects of time delay of WAMS on the dynamic performance of the thyristor controlled series capacitor (TCSC) nonlinear controller are investigated and the linear matrix inequality (LMI) theory is proposed to design a TCSC controller not sensitive to communication and measurement time delays.

First,in terms of the strict linear matrix inequalities(LMIs),a new improved delay-dependent bounded real lemma(BRL)of the time-delay descriptor systems is presented by employing a new Lyapunov-Krasovskii functional.

The residual generator was constructed based on a full-order filter,and the sufficient conditions for the existence of the filter were established by means of linear matrix inequalities(LMIs).

By means of Lyapunov function and linear matrix inequalities(LMIs),a sufficient condition is presented to guarantee that the closed-loop system is robust asymptotic stability,and satisfies a prescribed H∞norm-bounded constraint.