A less conservative stability test for second-order linear time-varying vector differential equations |
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Authors: | J. Sun¶ Q.-C. Zhong |
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Affiliation: | 1. Department of Mathematics , Tongji University , China;2. Department of Electrical Engineering and Electronics , The Univesity of Liverpool , United Kingdom |
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Abstract: | System stability and stability bounds play an essential role in control theory. This note is concerned with the exponential stability of a class of second-order linear time-varying vector differential equations with real piecewise continuous coefficient matrices. A less conservative explicit condition for stability of such a system is derived using the matrix measure theory and a more accurate upper bound for the decay exponent of its stable solution is established. Examples are included for illustration. |
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