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Liapunov structure and asymptotic expressions of linear differential systems

Liapunov structure and asymptotic expressions of linear differential systems
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摘要 With a view to the researches on asymptotic properties for linear differential systems,the characteristic number is transformed into functional dass which can indicate the change trend of the norm for solution,so the invariant structure is given under Liapunov changes and feasible computational method of asymptotic expressions for linear differential systems with variant coefficients,and various asymptotic conclusions induding the necessary and sufllcient conditions of stability are got. With a view to the researches on asymptotic properties for linear differential systems,the characteristic number is transformed into functional dass which can indicate the change trend of the norm for solution,so the invariant structure is given under Liapunov changes and feasible computational method of asymptotic expressions for linear differential systems with variant coefficients,and various asymptotic conclusions induding the necessary and sufllcient conditions of stability are got.
作者 高维新
出处 《Science China(Technological Sciences)》 SCIE EI CAS 1996年第2期159-172,共14页 中国科学(技术科学英文版)
关键词 linear DIFFERENTIAL system LIAPUNOV CHANGE ASYMPTOTIC EXPRESSION stability. linear differential system,Liapunov change,asymptotic expression,stability.
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