Journal of applied mathematics & informatics
- Volume 19 Issue 1_2
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- Pages.345-351
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- 2005
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- 2734-1194(pISSN)
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- 2234-8417(eISSN)
A NEW APPROACH TO EXPONENTIAL STABILITY ANALYSIS OF NONLINEAR SYSTEMS
- WAN ANHUA (Department of Applied Mathematics, Faculty of Science, South China Agricultural University)
- Published : 2005.09.01
Abstract
An effective method for analyzing the stability of nonlinear systems is developed. After introducing a novel concept named the point- wise generalized Dahlquist constant for any mapping and presenting its useful properties, we show that the point-wise generalized Dahlquist constant is sufficient for characterizing the exponential stability of nonlinear systems.
Keywords
- Nonlinear system;
- exponential stability;
- nonlinear mapping;
- the point-wise generalized Dahlquist constant