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This paper investigates the stability and stabilization problem for a class of Markovian jump singular systems with partial information on the transition probabilities. For detail, a new necessary and sufficient stability criterion is successfully obtained for such systems. Moreover, in terms of linear matrix inequalities, the sufficient conditions on the stabilization controller design are derived...
This paper discusses the global output regulation problem for a class of singular nonlinear systems. First, we apply input and coordinate transformation to transfer the singular nonlinear system into a reduced-order normal system, and we show that the solvability of the stabilization problem for this normal system implies the solvability of the output regulation problem for the original singular nonlinear...
This paper addresses the stabilization problem of flexible spacecraft attitude system. It's well known that the undesirable vibration caused by flexible appendages, together with other disturbances such as model uncertainty and space environmental disturbance torque, may greatly degenerate the performance of the spacecraft attitude system. In this paper, the elastic vibration, the model uncertainties...
Using the Lyapunov function method, this paper investigates the stability and the stabilization of linear fractional order systems, and presents a number of new results. First, some new properties of Caputo fractional derivative are presented. Then, a sufficient condition of asymptotical stability for fractional order systems is obtained by the Lyapunov function method. Furthermore, by designing state...
This paper studies the problems of stabilization of discrete-time linear systems with a single input delay. By developing the methodology of pseudo-predictor feedback (PPF) which uses the (artificial) closed-loop system dynamics to predict the future state, memoryless state feedback control laws are constructed to solve the problem. Necessary and sufficient conditions are obtained to guarantee the...
This paper investigates the stabilization of switched Boolean control networks (SBCNs) by using the semi-tensor product of matrices. First, the algebraic form of the switched Boolean control network based on the new product of matrices is presented, and the k-step controllability matrices and the controllability matrix are given, based on which a necessary and sufficient condition for stabilizability...
This paper is concerned on the stabilization problem of continuous-time switched systems with random switching signal where the dwell time in each subsystem consists of a fixed part and random part. New sufficient conditions for stabilizing controllers including mode-independent case are provided in terms of LMIs, which could be solved directly. Finally, a numerical example is used to demonstrate...
We are concerned with stabilization problem for a class of stochastic switching systems with time-delay in detection of switching signal. By using binomial model, Poisson process, and Wiener process to characterize time-delay, switching signal, and exogenous disturbance, respectively, the problem is set in a stochastic framework. The influence of the random time-delay is combined into reconstructing...
Stabilization problem for discrete-time switched systems with all unstable modes is investigated in this paper. Following the idea of getting into each unstable mode and analyzing its internal behavior, the state dynamical decomposition technique is used to convert such a problem to an equivalent one for the inter-decoupled switched systems. The proposed mode-dependent average dwell time approach...
This paper investigates the average passivity, stabilization and stability with finite L2 gain for discrete-time switched linear systems without direct input/output link. By the method for finding the switching signal to guarantee the passivity of a discrete-time switched linear system with direct input/output link, and combining with the Differential/Difference Representation-DDR method, a u-average...
In this paper, we give a x-z inverted pendulum driven via the combination of the horizontal and vertical control forces. The x-z inverted pendulum can move in the horizontal and vertical space. Stabilization and tracking control of this type inverted pendulum is given with PID controllers. Control performance of the x-z inverted pendulum is compared with that of the customary inverted pendulum. Simulation...
In this paper, we mainly focus on the problem of quantized feedback stabilization for a discrete-time linear system with faults. The dynamic uniform quantizer is used here, and quantized measurements of the state are available. The research contents are divided into two parts. And the feedback stabilization of the system with sensor or actuator faults is studied respectively. The sufficient conditions...
This paper mainly investigates the mean square stabilization problem for discrete-time networked control systems (NCSs). It is assumed that there exists a single network-induced delay between the controller and the plant, while the control signal is sent to the plant over a lossy communication channel whose packet dropout process is modeled as an independent identically distributed (i.i.d.) Bernoulli...
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