Stability Criteria in Terms of Two Measures for Delay Differential Equations

KOU Chun-hai; ZHANG Shu-nian

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KOU Chun-hai, ZHANG Shu-nian. Stability Criteria in Terms of Two Measures for Delay Differential Equations[J]. Applied Mathematics and Mechanics, 2002, 23(3): 283-291.

Citation:

KOU Chun-hai, ZHANG Shu-nian. Stability Criteria in Terms of Two Measures for Delay Differential Equations[J]. Applied Mathematics and Mechanics, 2002, 23(3): 283-291.

Citation:

KOU Chun-hai, ZHANG Shu-nian. Stability Criteria in Terms of Two Measures for Delay Differential Equations[J]. Applied Mathematics and Mechanics, 2002, 23(3): 283-291.

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Stability Criteria in Terms of Two Measures for Delay Differential Equations

Department of Applied Mathematics, Shanghai Jiaotong University, Shanghai 200240

Received Date: 2000-09-25
Rev Recd Date: 2001-11-20
Publish Date: 2002-03-15

Abstract

Abstract

By using the variational Liapunov method,stability properties in terms of two measures for delay differential equations are discussed.In the case that the unperturbed systems are ordinary differential systems,employing auxiliary measure h^*(t,x),criteria on nonuniform and uniform stability in terms of two measures for delay differential equations are established.
- delay differential equations,
- variational Lyapunov method,
- stability,
- two measures

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References(5)

References

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