This paper considers linear observed systems with time-varying delays, where the state as well as the observation of the state is subject to delays. It is assumed that the delays are unknown but stay below a certain bound. Similar to the case of uncertainties in the systems parameters we aim to derive upper and lower estimates for the state of the system under consideration. A pair of estimator...

This paper presents a globally stable teleoperation control strategy for systems with time-varying delays that eliminates the need for velocity measurements through novel augmented Immersion and Invariance velocity observers. The new observers simplify a recent constructive Immersion and Invariance velocity observer to achieve globally convergent velocity estimation with only n+2 states, where ...

A discrete-time system under finite wordlength implementation may demonstrate instability in its behavior. This instability is enhanced further in the presence of delays and parameter uncertainties. This paper, therefore, considers the problem of global asymptotic stability of a class of discrete-time systems in the presence of finite wordlength nonlinearities (combination of quantization and o...

In this paper, the problem of delay-range-dependent stabilization criterion for uncertain dynamic systems with time-varying delays is considered. The time-varying delays considered is assumed to be belong to a given interval in which lower bound of delay is not restricted to zero. By constructing a suitable augmented Lyapunov's functional and utilizing free weight matrices, the criterion for st...

In this paper, we investigate state consensus problems for discrete-time multi-agent systems with changing communications topologies and bounded time-varying communication delays. The analysis in this paper is based on the properties of non-negative matrices. We first extend the model of networks of dynamic agents to the case with multiple time-delays and prove that if the communication topolog...

The problem of designing feedback control systems for nonlinear systems subject to time-varying measurement delays is a fundamental one and its solution can find significant application in a number of control engineering problems including, for example, design of networked control systems (NCS). The importance of time delays in the context of networked control systems has motivated significant ...

We consider general nonlinear systems with time-varying input and state delays for which we design predictor-based feedback controllers. Based on a time-varying infinitedimensional backstepping transformation that we introduce, our controller achieves global asymptotic stability in the presence of a time-varying input delay, which is proved with the aid of a strict Lyapunov function that we con...

and Applied Analysis 3 dx t [ − C ΔC t x t A ΔA t f x t B ΔB t f x t − τ t u t ] dt σ t, x t , x t − τ t dω t 2.1 for t ≥ 0, where x t x1 t , x2 t , . . . , xn t T ∈ R is the state vector of the network at time t, n corresponds to the number of neurons; C diag c1, c2, . . . , cn is a positive diagonal matrix, A aij n×n, and B bij n×n are known constant matrices; ΔC t , ΔA t and ΔB t are time-va...

We adopt the optimization framework for the rate allocation problem proposed by Kelly and investigate the stability of the system with arbitrary communication delays between network elements with time-varying queue dynamics. We first present the conditions for the existence of a solution of the system. Second, we establish the conditions for the system stability with arbitrary delays for a fami...

This paper has proposed a controller design method for networked control systems with network induced delays by using LMI-based delay-dependent optimization. The delays are described by a Markov chain, since they are to be time-varying and even longer than the sampling time. A delay-dependent compensation method has been proposed here with a jump linear system analysis technique to stabilize th...