This paper deals with the problem of regional stability and performance analysis for a class of nonlinear discrete-time systems with uncertain parameters. We use polynomial Lyapunov functions to derive stability conditions and performance criteria in terms of linear matrix inequalities (LMIs). Although the use of polynomial Lyapunov functions is common for continuoustime systems as a way to red...

In this chapter a randomized ellipsoid algorithm is described that can be used for finding solutions to robust Linear Matrix Inequality (LMI) problems. The iterative algorithm enjoys the property that the convergence speed is independent on the number of uncertain parameters. Other advantages, as compared to the deterministic algorithms, are that the uncertain parameters can enter the LMIs in a...

In this paper, we solve a parameter-dependent control problem for a linear parameter-varying (LPV) plant in which both noisy outputs and/or exact measurements of some plant states are fed back. Known bounds on the parameters' rates of variation are used to reduce conservatism. We give necessary and suucient conditions, expressed as linear matrix inequalities (LMIs), for solvability by full-and ...

This paper presents a new relaxed stability condition for Takagi-Sugeno (T-S) fuzzy control systems. Using quadratic fuzzy Lyapunov functions (QFLFs), the stability of closed-loop control system is guaranteed by the negative definiteness of several fuzzy summations. However, since the membership functions are continuous, the negative definiteness of these fuzzy summations implies an infinite nu...

This paper proposed an observer based fault-tolerant control approach for the fuzzy T-S systems with sensors and actuators faults. By establishing the actuator fault and sensor fault models, an observer based fuzzy output feedback fault tolerant controller is developed and new stabilization conditions of the fuzzy fault tolerant control systems are given, which are formulated in terms of linear...

In this paper, the design problem of state estimator for genetic regulatory networks with time delays and randomly occurring uncertainties has been addressed by a delay decomposition approach. The norm-bounded uncertainties enter into the genetic regulatory networks (GRNs) in random ways, and such randomly occurring uncertainties (ROUs) obey certain mutually uncorrelated Bernoulli distributed w...

This paper is concerned with the problem of positive real control for uncertain discrete singular systems with state delay. The discrete singular system under consideration involves state time delay and unstructured time-invariant norm-bounded parameter uncertainties in both the state and input matrices. The problem we address is the design of state feedback controllers such that, for all admis...

A novel stochastic system model with multiple Markovian processes for networked control system (NCS) is developed as a two chains Markovian jump linear system. By using an active sampling method, random time delays are reshaped into short time delays which are less than one sampling period such that the structure of the augmented discrete-time model becomes straightforward. Based on Lyapunov ap...

This paper proposes a connection weighting scheme of a complex-valued Hopfield neural network for associative memory constrained by given attractive domain. Both equilibrium conditions and stability analysis results are used in the synthesis procedure. We solve the equilibrium equation by singular value decomposition technique and obtain a general solution of the connection weight matrix with a...

This paper deals with the asymptotic stability of neutral systems with mixed time-varying delays and nonlinear perturbations. Based on the Lyapunov–Krasovskii functional including the triple integral terms and free weighting matrices approach, a novel delay-decomposition stability criterion is obtained. The main idea of the proposed method is to divide each delay interval into two equal segment...