Abstract: This paper is concerned with the H∞ control problem of 2-D discrete state delay systems described by the Roesser model. The condition for the system to have a specified H∞ performance is derived via the linear matrix inequality (LMI) approach. Furthermore, a design procedure for H∞ state feedback controllers is given by solving a certain LMI. The design problem of optimal H∞ controlle...

This paper is concerned with the problem of robust stability of Markovian jump singularly perturbed descriptor systems with uncertain switchings and nonlinear perturbations for any 2 .0, N , where N is a pre-defined positive scalar. A linear matrix inequality (LMI) condition is firstly established to guarantee the existence and uniqueness of a solution. Then, an -independent condition in terms ...

This paper deals with analysis and synthesis techniques for robust pole placement in Linear Matrix Inequality (LMI) regions. The class of systems considered here is the continuous TakagiSugeno (T-S) fuzzy models with parametric uncertainties. Sufficient stability conditions are established for this class of systems. These constraints make it possible to robustly assign the closed-loop poles in ...

This paper investigates the stability of neutral delay-differential systems with mixed multiple time-varying delay arguments. Based on the Lyapunov functional method, and the relationship between the system states and the derivatives of these states, we present a new asymptotical stability criterion and a new robust stability criterion in terms of only one simple linear matrix inequality (LMI),...

The average consensus in undirected networks of multi-agent with both fixed and switching topology coupling multiple time-varying delays is studied. By using orthogonal transformation techniques, the original system can be turned into a reduced dimensional system and then LMI-based method can be applied conveniently. Convergence analysis is conducted by constructing Lyapunov-Krasovskii function...

In this paper, the problem of guaranteed cost fault-tolerant control for networked control systems (NCSs) is discussed based on Lyapunov stability theory and Linear Matrix Inequality (LMI). The sufficient conditions possessing robust integrity against actuator failures are given by adopting memory state feedback control law, which can meet a cost function for closed-loop networked control syste...

This paper is concerned with the robust absolute stability analysis problem for a class of uncertain time-delay systems with nonlinearities satisfying a given sector condition. Based on the Lyapunov stability theory and the linear matrix inequality (LMI) approach, a delay-dependent sufficient condition for the robust absolute stability is derived and is expressed as the feasibility problem of a...

this paper is concerned with the problem of delay dependent H∞ control of discrete-time uncertain recurrent neural networks with time varying-delays. The neural network is subject to parameter uncertainty, and time-varying delay. For the robust H∞ stabilization problem, a state feedback controller is designed to ensure global robust stability of the closed-loop system about its equilibrium poin...

In this paper, we consider the nonlinear benchmark problem. First, we construct the Takagi-Sugeno model using sectorization of the nonlinearity. Then by utilizing the concept of "parallel distributed compensation", we present the design of the fuzzy controller. The design procedure we adopt is to convert the design of the controller to a linear matrix inequality (LMI) problems so that the stabi...

Abstract—In this paper, the problem of stability and stabilization for neutral delay-differential systems with infinite delay is investigated. Using Lyapunov method, new delay-independent sufficient condition for the stability of neutral systems with infinite delay is obtained in terms of linear matrix inequality (LMI). Memory-less state feedback controllers are then designed for the stabilizat...