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In this paper, the problems of finite-time stability for both discrete-time and continuous-time switched linear systems are studied. Largest region function strategy is adopted to design the switching logic, i.e., state-dependent switching rule, which is different from the existing approach that is based on time-dependent switching strategy. Some sufficient conditions are provided for finite-time...
In this paper, the reliable control problem is studied for a class of discrete linear Markovian jump singular systems with actuator failures. A more practical model of actuator failures than outage is considered. It is important that the transition probabilities of the jumping process are assumed to be partly unknown. The failures of actuator are quantified by a variable taking values in a given interval...
This paper investigates stability and stabilization of positive switched systems under asynchronous switching, which means that the switching of the controller has a delay to that of the system mode. First, two sufficient conditions for the stability of autonomous systems are established. The first one is obtained by using the linear copositive Lyapunov function incorporated with linear programming...
Some systems suffer from not only input saturation but also input rate saturation due to special need or actuator limitation. This paper investigates the regulation control of a class of uncertain nonlinear systems with input rate saturation. By transformation, the rate saturation of input can be converted to the state and input constraints of certain linear systems. An LMI based method can then be...
In this paper the schemes to compute robust control invariant sets for linear (uncertain) systems are collected, which are not necessary minimal robust control invariant sets. Firstly, the concept of logarithmic norm is resorted to a simply differential functional inequality. Feedback control laws are obtained for both of the two schemes. In the scheme based on the differential functional inequality,...
Robustness of output regulation problems for second-order systems with parameter perturbations is studied. Under necessary assumptions, the solvability to robust output regulation problems is given. According to this condition, a feedback regulator is constructed.
This paper is concerned with the problem of stability analysis of linear systems with time-varying delay. A new delay-dependent stability condition expressed in terms of linear matrix inequalities (LMIs) is derived by employing a dedicated constructed Lyapunov-Krasovskii functional (LKF) and combining a novel combined convex method. Different from the previous convex techniques which only tackle the...
This paper is concerned with the finite-time stabilization for a class of linear systems subject to actuator fault using limited information. A sufficient condition is derived which reveals the relationship among the sampling period, the norm of the transition matrix of the open-loop system over one sampling period, the input matrix, the feedback gain and the vertex set of the actuator fault to achieve...
This paper studies common quadratic Lyapunov functions for a finite number of linear time invariant systems. We present Newton method which can find common quadratic Lyapunov functions for a number of stable linear systems, and a numerical example is given to illustrate our result.
The set invariance problem is discussed for actuator saturation uncertain systems with disturbance. Under the linear state feedback control, the new condition of invariance ellipsoid is given for the addressed systems. By using composite quadratic Lyapunov function method and combining the convex additivity of linear matrix, it is shown that the convex hull of some invariant ellipsoids is also an...
A novel method to H∞ output feedback control of continuous-time switched linear systems is investigated in this paper. Base on multiple Lyapunov function method combined with the Projection lemma and Finsler's lemma, the resulting closed-loop system is stable and has a desire H∞ performance level γ under static and dynamic H∞ output feedback, respectively. Both these controllers are solved from strict...
This paper presents the coarsest static quantizer for discrete-time system with delayed-input channel under quadratic stability. With augmentation of the system state and the delayed input, a new system without time delay in the input can be rebuilt. Based on the quadratic stability equivalence of the original system and the rebuilt system, using the isomorphism of the two corresponding admissible...
This paper concerns the finite-time stabilization of discrete Markov jumps systems (MJSs) with partly known transition probabilities (TPs) which are allowed to be known, uncertain with known lower and upper bounds and completely unknown. Combining the property of TPs, sufficient conditions are developed to guarantee that the system states do not exceed a certain threshold in mean-square sense during...
This paper is concerned with the problem of quantized H∞ filtering for a class of continuous-time Markovian jump linear systems with defective mode information. By virtue of a mode-dependent logarithmic quantizer, the measurement output of the plant is quantized, and the defective mode information in the Markov stochastic process simultaneously involves the exactly known, partially unknown and polytopic-type...
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