ABSTRACT This paper presents an application of dissipative concept for stability analysis of continuous-time system with two additive time-varying delays in the state. Our attention is focused on analysis of whether the continuous-time system with two additive time-varying delays in the state is asymptotically stable and dissipative. By exploiting LyapunovKrasovski functional and introducing fr...

This paper discusses an observer-based fuzzy control problem for uncertain nonlinear singular systems under Multi-Performance Requirements (MPRs). The approach used in the is to model system using a Takagi–Sugeno (T-S) that can be analyzed linear theories. proposed scheme based on Parallel Distributed Compensation (PDC) and Proportional Derivative (PD) scheme. goal design controller achieves st...

In this paper, we consider the problem for singular systems with state delay. We mainly focus on the problems of absolute delay-dependent stability using the Lyapunov function method and give sufficient conditions in terms of linear matrix inequality (LMI). A numerical example is given to illustrate the application of the proposed method. References [1] Izumi Masubuchi, ∞ H control for descript...

This paper is concerned with the problem of finding a low-rank solution of an arbitrary sparse linear matrix inequality (LMI). To this end, we map the sparsity of the LMI problem into a graph. We develop a theory relating the rank of the minimum-rank solution of the LMI problem to the sparsity of its underlying graph. Furthermore, we propose three graph-theoretic convex programs to obtain a low...

The guaranteed-performance consensus tracking (GPCT) for non-linear multi-agent systems (MASs) with switching communication topologies is presented. Different from the existing work, range of one-sided Lipschitz MASs wider than ones, and upper bound performance given while achieving tracking. First, a control protocol proposed, where regulation involved. Then, by linear matrix inequality (LMI),...

An observer-based design method of fault-tolerant controller for uncertain linear systems subject to actuator faults, saturation and bounded disturbances is provided in this paper. A state feedback controller is designed to maximize the attraction domain with the state variables estimated by a Luenberger observer. The closed-loop system is modeled as a linear system with decentralized dead-zone...

This paper deals with the problem of robust stabilization for uncertain two-dimensional systems described by the Roesser model. The uncertainty under consideration has linear fractional form. Sufficient conditions for robust stability and robust stabilization are obtained. Moreover, the results generalize the works on uncertain 2-D systems with norm-bounded parametric uncertainties. A robust st...

This paper considers stochastic stability and stochastic stabilizability of linear discrete-time systems with Markovian jumps and mode-dependent time-delays. Linear matrix inequality (LMI) techniques are used to obtain sufficient conditions for the stochastic stability and stochastic stabilizability of this class of systems. A control design algorithm is also provided. A numerical example is gi...

In this paper, the global exponential stability and global asymptotic stability for a class of uncertain delayed neural networks (UDNNs) with time-varying delay and linear fractional perturbations are considered. Delay-dependent and delay-independent criteria are proposed to guarantee the robust stability of UDNNs via linear matrix inequality (LMI) approach. Additional nonnegative inequality ap...

The stabilization of linear continuous-time systems with time delay in the state and subject to saturating controls is addressed. Sufficient conditions obtained via a linear matrix inequality (LMI) formulation are stated to guarantee both the local stabilization and the satisfaction of some performance requirements. The method of synthesis consists in determining simultaneously a state feedback...