Finite-time L1 control for positive switched linear systems with time-varying delay

2013 ◽  
Vol 18 (11) ◽  
pp. 3158-3166 ◽  
Author(s):  
Mei Xiang ◽  
Zhengrong Xiang
Keyword(s):  
Linear Systems ◽  
Finite Time ◽  
Time Varying ◽  
Switched Linear Systems ◽  
Time Varying Delay ◽  
Varying Delay

scholarly journals Finite-Time Boundedness Analysis for a Class of Switched Linear Systems with Time-Varying Delay

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Yanke Zhong ◽  
Tefang Chen
Keyword(s):  
Linear Systems ◽  
Finite Time ◽  
External Disturbance ◽  
Sufficient Conditions ◽  
Jensen Inequality ◽  
Time Varying ◽  
Switched Linear Systems ◽  
Time Varying Delay ◽  
Finite Time Boundedness ◽  
Varying Delay

The problem of finite-time boundedness for a class of switched linear systems with time-varying delay and external disturbance is investigated. First of all, the multiply Lyapunov function of the system is constructed. Then, based on the Jensen inequality approach and the average dwell time method, the sufficient conditions which guarantee the system is finite-time bounded are given. Finally, an example is employed to verify the validity of the proposed method.

scholarly journals Delay-Dependent Stability Criterion of Arbitrary Switched Linear Systems with Time-Varying Delay

2010 ◽  
Vol 2010 ◽  
pp. 1-16 ◽  
Author(s):  
Jun Li ◽  
Weigen Wu ◽  
Jimin Yuan ◽  
Qianrong Tan ◽  
Xing Yin
Keyword(s):  
Linear Systems ◽  
Stability Criterion ◽  
Linear Matrix ◽  
Time Varying ◽  
Switched Linear Systems ◽  
Time Varying Delay ◽  
Liner System ◽  
Delay Dependent ◽  
Delay Dependent Stability ◽  
Varying Delay

This paper deals with the problem of delay-dependent stability criterion of arbitrary switched linear systems with time-varying delay. Based on switched quadratic Lyapunov functional approach and free-weighting matrix approach, some linear matrix inequality criterions are found to guarantee delay-dependent asymptotically stability of these systems. Simultaneously, arbitrary switched linear system can be expressed as a problem of uncertain liner system, so some delay-dependent stability criterions are obtained with the result of uncertain liner system. Two examples illustrate the exactness of the proposed criterions.

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