Abstract. This paper is concerned with the exponential mean-square stabilization problem via dynamic output-feedback controller for Markovian jump systems with nonlinear perturbations and time delays which are time-varying in an interval and depend on the system mode. Sufficient delay-range-dependent stabilization conditions for the existence of robust output-feedback controller are proposed in...

This paper concerns the robust ‘practical’ stabilization for a class of linear controlled stochastic differential equations subject to both multiplicative and additive stochastic noises. Sufficient conditions of the stabilization are provided in two senses. In the first sense, it is proven that almost all trajectories of the stochastic model converge in a ‘mean-square sense’ to a bounded zone l...

This paper deals with the control law design with an observer for models in the Takagi–Sugeno's (TS) form in the general case where the nonlinearities and the variables involved are not measurable. The proposed observer design method is based on the use of the second method of Lyapunov and the pole placement method. Based on this procedure an algorithm is proposed for stabilisation of permanent...

This paper addresses the robust H∞ issue of uncertain Markovian jump linear systems (MJLSs) with mode-dependent time-delays. A new delay-dependent condition on the stochastic stability is proposed by a new stochastic LyapunovKrasovskii functional. The stability conditions are formulated as bilinear matrix inequalities solvable by an iterative linear matrix inequality (LMI) method. Then a new ro...

The problem of robust H2 estimation of a combination of states of a stationary linear system with time delays is considered. Since the problem is infinite dimensional in nature, an attempt is being made to develop finite dimensional methods that will guarantee a preassigned estimation accuracy. The approach of minimizing the trace of a matrix that overbounds the exact covariance of the estimati...

In this paper, the problem of exponential stability for a class of polytopic neutral systems with nondifferentiable interval time-varying delays is studied. By using an improved Lyapunov–Krasovskii parameter-dependent functional and linear matrix inequality (LMI) technique, new delay-dependent sufficient conditions for the exponential stability of the systems are first established in terms of l...

This paper deals with the consensus problem in multi-agent systems (MASs) with fixed and switching interaction topologies. All agents are modeled by identical linear high-order dynamical systems. Through some coordinate transformation and the augment of the output matrix, some consensus protocols are provided based on the output measurements of the adjacent agents. Sufficient conditions for con...

Abstract This paper presents new exponential stability conditions for a class of linear systems with time-varying delay. Unlike the previous works, the delay function considered in this paper is time-varying without any requirement on the derivative, which means that a fast time-varying delay is allowed. Based on an improved Lyapunov-Krasovskii functional combined with Newton-Leibniz formula an...

In this paper control of high index and non-regular linear differential-algebraicequation systems is addressed. Based on a generalization of the bounded real lemma (BRL) to index one systems, all linear output feedback controllers in standard, i.e. non-descriptor, state space form solving the control problem can be characterized via biaffine matrix inequalities (BMIs). In a second step a congru...

Techniques for stabilization of linear descriptor systems by state-derivative feedback are proposed. The methods are based on Linear Matrix Inequalities LMIs and assume that the plant is a controllable system with poles different from zero. They can include design constraints such as: decay rate, bounds on output peak and bounds on the state-derivative feedback matrix K, and can be applied in a...