MOMENT ASYMPTOTIC STABILITY OF STOCHASTIC HYBRID DELAY SYSTEMS

2005 ◽  
Vol 38 (1) ◽  
pp. 182-187
Author(s):  
Chenggui Yuan ◽  
John Lygeros ◽  
William Glover ◽  
Jan Maciejowski
Keyword(s):  
Asymptotic Stability ◽  
Delay Systems

scholarly journals Finite-Time Output Feedback Controller Based on Observer for the Time-Varying Delayed Systems: A Moore-Penrose Inverse Approach

2017 ◽  
Vol 2017 ◽  
pp. 1-13 ◽  
Author(s):  
Cong-Trang Nguyen ◽  
Yao-Wen Tsai
Keyword(s):  
Asymptotic Stability ◽  
Output Feedback ◽  
Finite Time ◽  
Sliding Mode ◽  
Feedback Controller ◽  
Delay Systems ◽  
Linear Matrix ◽  
Invariance Property ◽  
Time Varying ◽  
Output Feedback Controller

This study proposes a novel variable structure control (VSC) for the mismatched uncertain systems with unknown time-varying delay. The novel VSC includes the finite-time convergence sliding mode, invariance property, asymptotic stability, and measured output only. A necessary and sufficient condition guaranteeing the existence of sliding surface is given. A novel lemma is established to deal with the control design problem for a wider class of time-delay systems. A suitable reduced-order observer (ROO) is constructed to estimate unmeasured state variables of the systems. A novel finite-time output feedback controller (FTOFC) is investigated, which is based on the ROO tool and the Moore-Penrose inverse technique. Moreover, with the help of this lemma and the proposed FTOFC, restrictions on most existing works are also eliminated. In addition, an asymptotic stability analysis is implemented by means of the feasibility of the linear matrix inequalities (LMIs) and given desirable sliding mode dynamics. Finally, a MATLAB simulation result on a numerical example is performed to show the effectiveness and advantage of the proposed method.

Asymptotic stability analysis and model reduction for spatially interconnected time-delay systems

2020 ◽  
Vol 357 (17) ◽  
pp. 12670-12699
Author(s):  
Hui Wang ◽  
Huiling Xu ◽  
Xiaokai Zhai ◽  
Xuefeng Chen ◽  
Zhiping Lin
Keyword(s):  
Stability Analysis ◽  
Time Delay ◽  
Asymptotic Stability ◽  
Model Reduction ◽  
Delay Systems ◽  
Time Delay Systems

Fuzzy-PID Control and its Stability Analysis of Large Time-Delay Nonlinear Systems

2013 ◽  
Vol 380-384 ◽  
pp. 413-416
Author(s):  
Yu Chi Zhao ◽  
Jing Liu
Keyword(s):  
Time Delay ◽  
Asymptotic Stability ◽  
Pid Control ◽  
Large Time ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Fuzzy Pid Control ◽  
Design Algorithm ◽  
Fuzzy Observer ◽  
Fuzzy Input

Aiming at a kind of state unpredictability of the fuzzy input large time-delay systems, the author designs a fuzzy observer with the application of Parallel Distributed Compensation (PDC), puts forward the PID control method based on the fuzzy observer, and provides a new sufficient condition which guarantees the asymptotic stability of fuzzy large time-delay system. With the employment of generalized Lyapunov function and linear matrix inequality, this paper proves the asymptotic stability of fuzzy input large time-delay systems and offers the separation design algorithm to control and observe gain matrix. The simulation results of the experiment further verify the effectiveness of the methods and conditions raised in this paper.

A SWITCHING RULE FOR THE ASYMPTOTIC STABILITY OF UNCERTAIN DISCRETE-TIME SYSTEMS

2011 ◽  
Vol 08 (03) ◽  
pp. 255-261 ◽  
Author(s):  
K. RATCHAGIT
Keyword(s):  
Asymptotic Stability ◽  
Discrete Time ◽  
Uncertain System ◽  
Delay Systems ◽  
Linear Matrix ◽  
Fast Time ◽  
Time Varying ◽  
Switching Rule ◽  
Discrete Time Delay ◽  
Time Systems

This paper is concerned with asymptotic stability of uncertain switched discrete time-delay systems. The system to be considered is subject to interval time-varying delays, which allows the delay to be a fast time-varying function and the lower bound is not restricted to zero. Based on the discrete Lyapunov functional, a switching rule for the asymptotic stability for the uncertain system is designed via linear matrix inequalities. Numerical examples are included to illustrate the effectiveness of the results.

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