Finite-Time Stability of Fractional-Oder Linear Differential Systems With Delays

TIAN Hongqiao; ZHANG Zhixin; JIANG Wei

doi:10.21656/1000-0887.400365

Volume 41 Issue 8

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TIAN Hongqiao, ZHANG Zhixin, JIANG Wei. Finite-Time Stability of Fractional-Oder Linear Differential Systems With Delays[J]. Applied Mathematics and Mechanics, 2020, 41(8): 921-930. doi: 10.21656/1000-0887.400365

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Finite-Time Stability of Fractional-Oder Linear Differential Systems With Delays

doi: 10.21656/1000-0887.400365

School of Mathematical Sciences, Anhui University,Hefei 230601, P.R.China

Funds: The National Natural Science Foundation of China(11471015;61272530;11371027)

Received Date: 2019-12-03
Rev Recd Date: 2020-06-20
Publish Date: 2020-08-01

Abstract

Abstract

The finite-time stability of fractional-order linear differential systems with time delays was studied. Firstly, with a new Lyapunov function and the linear matrix inequality, some sufficient conditions for the finite-time stability of fractional linear differential systems with time delays were derived. Then, under the action of a state feedback controller, some conditions for the finite-time stability of fractional differential closed-loop systems with time delays were given, and the design method for the controller was given. In the end, the effectiveness of the theoretical results was illustrated with two examples.
- fractional order,
- time delay,
- finite-time stability,
- Lyapunov function,
- linear matrix inequality

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References

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