scholarly journals Delay-Dependent Finite-Time andL2-Gain Analysis for Switched Systems with Time-Varying Delay

2013 ◽  
Vol 2013 ◽  
pp. 1-11
Author(s):  
Qiongfen Yang
Keyword(s):  
Finite Time ◽  
Switched Systems ◽  
Sufficient Conditions ◽  
Switching Behavior ◽  
Time Varying ◽  
Time Stability ◽  
Finite Time Stability ◽  
Time Varying Delay ◽  
Delay Dependent ◽  
Varying Delay

For the switched systems, switching behavior always affects the finite-time stability (FTS) property, which was neglected by most previous studies. This paper is mainly concerned with the problem of delay-dependent finite-time andL2-gain analysis for switched systems with time-varying delay. Several less conservative sufficient conditions related to finite-time stability and boundness of switched system with time-varying delays are proposed; the system trajectory stays within a special bound with the information of switching signal. At last, a numerical example is also given to illustrate the efficiency of the developed method.

scholarly journals New Results for Finite-Time Stability of Discrete-Time Linear Systems with Interval Time-Varying Delay

2015 ◽  
Vol 2015 ◽  
pp. 1-15 ◽  
Author(s):  
Sreten B. Stojanovic
Keyword(s):  
Discrete Time ◽  
Finite Time ◽  
Sufficient Conditions ◽  
Linear Matrix ◽  
Time Varying ◽  
Time Stability ◽  
Finite Time Stability ◽  
Time Varying Delay ◽  
Maximum Delay ◽  
Varying Delay

The problem of finite-time stability for linear discrete time systems with state time-varying delay is considered in this paper. Two finite sum inequalities for estimating weighted norms of delayed states are proposed in order to obtain less conservative stability criteria. By using Lyapunov-Krasovskii-like functional with power function, two sufficient conditions of finite-time stability are proposed and expressed in the form of linear matrix inequalities (LMIs), which are dependent on the minimum and maximum delay bounds. The numerical example is presented to illustrate the applicability of the developed results. It was shown that the obtained results are less conservative than some existing ones in the literature.

scholarly journals Finite-Timel1-Gain Control for Positive Switched Systems with Time-Varying Delay via Delta Operator Approach

2014 ◽  
Vol 2014 ◽  
pp. 1-11 ◽  
Author(s):  
Shuo Li ◽  
Zhengrong Xiang ◽  
Hamid Reza Karimi
Keyword(s):  
Finite Time ◽  
Switched Systems ◽  
Sufficient Conditions ◽  
Gain Control ◽  
Delta Operator ◽  
Time Varying ◽  
Operator Approach ◽  
Time Varying Delay ◽  
Positive Switched Systems ◽  
Varying Delay

This paper is concerned with the problem of finite-timel1-gain control for positive switched systems with time-varying delay via delta operator approach. Firstly, sufficient conditions which can guarantee thel1-gain finite-time boundedness of the underlying system are given by using the average dwell time approach and constructing an appropriate copositive type Lyapunov-Krasovskii functional in delta domain. Moreover, the obtained conditions can unify some previously suggested relevant results seen in literature of both continuous and discrete systems into the delta operator framework. Then, based on the results obtained, a state feedback controller is designed to ensure that the resulting closed-loop system is finite-time bounded with anl1-gain performance. Finally, a numerical example is presented to demonstrate the effectiveness and feasibility of the proposed method.

scholarly journals NEW RESULTS ON FINITE-TIME STABILITY FOR NONLINEAR FRACTIONAL ORDER LARGE SCALE SYSTEMS WITH TIME VARYING DELAY AND INTERCONNECTIONS

2020 ◽  
Vol 225 (02) ◽  
pp. 52-57
Author(s):  
Phạm Ngọc Anh ◽  
Nguyễn Trường Thanh ◽  
Hoàng Ngọc Tùng
Keyword(s):  
Fractional Order ◽  
Finite Time ◽  
Large Scale ◽  
Time Varying ◽  
Time Stability ◽  
Large Scale Systems ◽  
Finite Time Stability ◽  
Time Varying Delay ◽  
Varying Delay

Bài báo này khảo sát tính ổn định hữu hạn của một lớp hệ quy mô lớn cấp phân số có trễ biến thiên và nhiễu phi tuyến. Sử dụng bất đẳng thức Gronwall tổng quát, một điều kiện đủ cho ổn định hữu hạn của các hệ này được thiết lập thông qua hàm Mittag-Leffler. Kết quả thu được sau đó được áp dụng cho hệ bất định và hệ không ôtonom có trễ biến thiên và nhiễu phi tuyến.

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