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exponential stability of linear systems with multiple time delays
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نویسنده
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ordokhani y ,taghizadeh e ,behmardi d ,matin far m
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منبع
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پژوهش هاي رياضي - 1395 - دوره : 2 - شماره : 1 - صفحه:69 -78
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چکیده
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In this paper, a class of linear systems with multiple time delays is studied. the problem of exponential stability of timedelay systems has been investigated by using lyapunov functional method. we will convert the system of multiple time delays into a single time delay system and show that if the old system is stable then the new one is so. then we investigate the stability of converted new system by using matrix decomposition and linear matrix inequality (lmi) technique. some numerical examples are given to illustrate the efficiency of our method.
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کلیدواژه
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exponential stability ,multiple time-delays system ,matrix decomposition ,lyapunov-krasovskii functional ,lmi
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آدرس
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alzahra university, faculty of mathematical sciences, ایران, university of mazandaran, faculty of mathematical sciences, ایران, alzahra university, faculty of mathematical sciences, ایران, university of mazandaran, faculty of mathematical sciences, ایران
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پایداری نمایی سیستمهای خطی با تأخیر زمانی چندگانه
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Authors
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اردوخانی یداله ,تقی زاده الهام ,بهمردی داریوش ,متینفر ماشاءاله
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