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This paper addresses the stability results of a Markov jump linear system with parameter uncertainties and time-varying delay. A geometric sequence based method is used for delaypartitioning. Then, a modified geometric sequence division (GSD) dependent augmented Lyapunov-Krasovskii functional (LKF) is constructed with respect to the state variables forming in geometric progression. By employing the...
This paper mainly concerns the issue of asynchronously switched control for a class of continuous-time switched linear systems with persistent dwell time (PDT). Asynchronous switching implies that when a subsystem switches the matched controller remains active for a finite period of time, such that the Lyapunov-like function increases. A semi-time-dependent (STD) multiple Lyapunov-like function with...
This paper deals with the problem of reachable set bounding for interval time-varying delay system with disturbances. A generalized reciprocally convex combination lemma and a new Lyapunov-Krasovskii functional (LKF) are given to obtain the delay-dependent criterion. The reachable set of time-varying delay systems with bounded peak disturbances is contained in the ellipsoid base this result. Meanwhile,...
This paper investigates the stability of linear systems with a time-varying delay. We propose a new approach to construct Lyapunuv-Krasovskii functional (LKF). Compared with other traditional approach, the proposed one can provide a higher time-delay upper bound and lower computation complexity. Six stability criteria by linear matrix inequalities (LMIs) are established by proposed two novel LKFs...
This paper is concerned with the problem of the annular finite-time filtering for a class of switched systems by using an event-triggered communication scheme. Compared with the existing results of finite-time stability for the switched systems, during the specific time interval, the annular finitetime stability not only requires that the state trajectory does not exceed an upper bound but also is...
This paper investigates the receding horizon state estimation for the linear discrete-time system with multi-channel observation delays. The receding horizon estimation is designed by the reorganized observation technique and the linear unbiased estimation method. A batch form and an recursive form for receding horizon estimation are developed based on the reorganized measurements. The estimation...
In this paper, we propose a predictor-based sliding mode control algorithm for LTI systems with input-delay and disturbance. It is shown that our proposed algorithm can completely reject the constant disturbance from the state channel. It is also shown that with our proposed algorithm, an enhanced disturbance rejection can be achieved for a large class of other time-varying disturbances. Simulations...
Decentralized Fixed Mode (DFM) radius is a robustness measure of decentralized control system reflecting how far a system is from having DFM. In this paper, real DFM radius is defined for decentralized control systems with input and output delays, and a computing formula is derived for the same using restricted real perturbation measures. Results of this paper for computing DFM radius of time-delay...
The main purpose of this paper is to study the relative controllability of linear infinite delay dynamical systems containing both multiple lumped time varying delays and distributed delays in the state variables and multiple lumped time varying delays in the in admissible controls.
The classical Cayley-Hamilton theorem is extended to Drazin inverse matrices. A new procedure based on this extension for computation of the Drazin inverse matrices is proposed.
In the paper the linear discrete-time fractional systems with one delay in state vector is considered. For this class of systems the problems of decomposition of uncontrollable system into controllable subsystem and controllability test using Jordan form are presented and discussed. The considerations are illustrated by numerical examples.
Decentralized state-feedback method for stabilization of descriptor fractional positive continuous-time linear systems with delays in state-space vector is proposed. Necessary and sufficient conditions for the decentralized stabilization of the descriptor fractional positive continuous-time linear systems with delays in state-space vector are established. Method is based on decomposition of the descriptor...
A class of discrete-time networked switched control systems are investigated with event-triggered control. The closed-loop system is formulated as switched linear systems with time-varying delays, based on which the exponential stability conditions are obtained under the time delay system framework. The co-design conditions of the control gain and the triggering parameters are proposed. Finally, a...
In this paper, we consider the stability of a class of linear systems with a time-varying delay. By using delay decomposition method, the time-delay interval is decomposed into two sub intervals to construct a suitable Lyapunov-Krasovskii functional, and each term of the Lyapunov-Krasovskii functional do not need to be positive definite, the partial items of Lyapunov-Krasovskii functional are consider...
This paper deals with the H∞ finite-horizon filtering for discrete piecewise linear systems with infinite distributed delays and quantization effect. The modes and their transitions of augmented piecewise linear systems are formulated. The quantisation phenomenon is described by the logarithmic function and the time delays are assumed to be randomly occurred and infinitely distributed in the discrete-time...
This paper investigates the unknown input estimation for a large class of linear systems with commensurate delays. A Luenberger-like observer plus a high order sliding mode differentiator are proposed by involving only the past and actual values of the system output. Sufficient conditions are given to guarantee the existence of such an unknown input estimator.
This paper is to study the stabilizability and stabilization issues of linear dynamical systems based on the delayed and noisy feedback control. For the general linear systems, the necessary conditions and sufficient conditions for mean square and almost sure stabilizability are deduced and the corresponding feedback controls are designed according to the generalized algebraic Riccati equation. It...
This paper studies the consensus problem for discrete-time multi-agent systems with state, input and different communication delays, where the input delays can be arbitrarily large yet exactly known. Moreover, the communication delays are different for different agents and can also be arbitrarily large. A nested predictor based protocol is established to solve the problem. It is shown that both the...
This paper is to investigate the linear minimum mean square error estimation for Markovian jump linear systems subject to unknown Markov chain modes, multi-channel observation delays, and data losses. Firstly, the original system is transformed into an extended system by defining a new state variable. The new state variable is concerned with the indicator function of the Markov chain and the original...
This paper focuses on the problem of finite-time control for a class of networked control system (NCS) in presence of random time delay and packet dropout, and provides some main results which are sufficient conditions for finite-time bounded via state feedback. Firstly, the NCS with random time delay and packet dropout are modeled as linear systems by using certainty equivalence property and random...
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