Further improved crite rion for exponential stability of linear syste ms with multiple time delays
T his paper gives an further improvement of the criterion in Nam [P.T.Nam, an improved crit erion for exponential stability of linear systems with multiple time delays, Appl. Math. Comput.202(2008) ,870-876] . By using new operators Vk(Xt) = x(t) + u.z: Gkx(s)ds, k = 1,2, . .., m, the obtained cr...
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Trường Đại học Đà Lạt
2014
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oai:scholar.dlu.edu.vn:DLU123456789-374302023-10-27T14:42:00Z Further improved crite rion for exponential stability of linear syste ms with multiple time delays Phan, Thanh Nam Exponential stability Multiple delays T his paper gives an further improvement of the criterion in Nam [P.T.Nam, an improved crit erion for exponential stability of linear systems with multiple time delays, Appl. Math. Comput.202(2008) ,870-876] . By using new operators Vk(Xt) = x(t) + u.z: Gkx(s)ds, k = 1,2, . .., m, the obtained criterion depends not only on Tk , k = 1, 2, ...m , bu t also on the difference of Tk - Tk-I, k = 1,2, ...m, which make our criterion is more effective. Moreover, combining wit h reducing the number of common matrix variables in a set of linear matrix inequalities, we have reduced more the conservatism. Some numerical examples are also given to shown the effectiveness of our result to those in the literature. Mathernat.ics Subject Classification. 49J40,49J53, 90C29. 2014-05-29T02:11:12Z 2014-05-29T02:11:12Z 2012 Article https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/37430 en Tạp chí Khoa học Đại học Đà Lạt, số 3b;tr. 29-36 application/pdf Trường Đại học Đà Lạt |
| institution |
Thư viện Trường Đại học Đà Lạt |
| collection |
Thư viện số |
| language |
English |
| topic |
Exponential stability Multiple delays |
| spellingShingle |
Exponential stability Multiple delays Phan, Thanh Nam Further improved crite rion for exponential stability of linear syste ms with multiple time delays |
| description |
T his paper gives an further improvement of the criterion in Nam [P.T.Nam,
an improved crit erion for exponential stability of linear systems with multiple time
delays, Appl. Math. Comput.202(2008) ,870-876] . By using new operators Vk(Xt) =
x(t) + u.z: Gkx(s)ds, k = 1,2, . .., m, the obtained criterion depends not only on
Tk , k = 1, 2, ...m , bu t also on the difference of Tk - Tk-I, k = 1,2, ...m, which make
our criterion is more effective. Moreover, combining wit h reducing the number of
common matrix variables in a set of linear matrix inequalities, we have reduced more
the conservatism. Some numerical examples are also given to shown the effectiveness
of our result to those in the literature.
Mathernat.ics Subject Classification. 49J40,49J53, 90C29. |
| format |
Article |
| author |
Phan, Thanh Nam |
| author_facet |
Phan, Thanh Nam |
| author_sort |
Phan, Thanh Nam |
| title |
Further improved crite rion for exponential stability of linear syste ms with multiple time delays |
| title_short |
Further improved crite rion for exponential stability of linear syste ms with multiple time delays |
| title_full |
Further improved crite rion for exponential stability of linear syste ms with multiple time delays |
| title_fullStr |
Further improved crite rion for exponential stability of linear syste ms with multiple time delays |
| title_full_unstemmed |
Further improved crite rion for exponential stability of linear syste ms with multiple time delays |
| title_sort |
further improved crite rion for exponential stability of linear syste ms with multiple time delays |
| publisher |
Trường Đại học Đà Lạt |
| publishDate |
2014 |
| url |
https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/37430 |
| _version_ |
1819788052753547264 |