On the stability of perturbed discrete linear systems with periodic co
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On the stability of perturbed discrete linear systems with periodic co

brPage 1br On the stability of perturbed discrete linear systems with periodic coefficients Abstract KeyWords 1 Introduction nnxnAnx nA nxnnAnx 2 Preliminary results AAA kAmAkm km Imm D

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On the stability of perturbed discrete linear systems with periodic co




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On the stability of perturbed discrete linear systems with periodic coefficients Abstract: - Key-Words: - 1 Introduction nnxnAnx nA nxnnAnx ' 2 Preliminary results AAA kAmAkm km Imm Definition1 nxnAnx km Ckm d) km nA RECENT ADVANCES in AUTOMATION & INFORMATION ISSN: 1790-5117 39 ISBN: 978-960-474-193-9
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ATA Lemma 2 nA Tkm mT ' kT km Theorem 3 nu nf kkn ifiuqpnu ki d Rqp kkn iqfpnu ki d kkn 3 Main result iT Kn Ti ) ' Theorem 3 nA TAB Tn CB CK ZZ Proof: nxnnxnAnx ' xkx ixiim xkmmx ki ') ) km ip ir irTip z irip irip iq kTkqBkmT kqm ) ) )

xkTkqBmTx kqm ixiiTiq iqm mT ki ') iq ) ) irI irirT iTiq KiTiq d) CKmTx Tkqm ix CK Tiqm mT ki mT xCKmTx Tkq mT ix CK Tiq mT ki xCK Tkq ix CK TiqTiqiq mT ki ixiu iq RECENT ADVANCES in AUTOMATION & INFORMATION ISSN: 1790-5117 40 ISBN: 978-960-474-193-9
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mTx mT Tiqiq mT ki Tkq CK xCK ttn ttn na kk kk kT mTx mT Tiqiq mT kTi kT CK xCK Tkm kT CKxCK Tiqiq mT kTi CK Tkm CK Tkm CKxCKmTx ZZ ' kTmT ' xkTmT Tkm CKxCK ZZ '! Example 5 nnxnAnx na na nA nana ia fo fo ia fo fo ia fo nznnAnz Nn ' tne >@ nz nz znz ki kk tt ki tz kki tz kki

ttz ki ki etz ki tz >@ ttztz RECENT ADVANCES in AUTOMATION & INFORMATION ISSN: 1790-5117 41 ISBN: 978-960-474-193-9
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>@ kk tttz HHC fo znz 4 Auxiliary results from the literature Theorem 6 HQB ! QQ HH QHBBH HHC Theorem 7 TP d BI !! TP TZ esK Theorem 8 HnQnA ! nQnQ nHnH nQnAnHnAnH iH iQ Example 9 HHC ) iT Ti '! CK ZZ ' 5 Conclusion 6 Acknowledgment RECENT ADVANCES in AUTOMATION & INFORMATION ISSN: 1790-5117 42 ISBN: 978-960-474-193-9
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References: Siberian Mathematical Journal Siberian Mathematical Journal Automatica Introduction to Mathematical Control Theory

Systems and Control Letters Mathematical systems theory BIT Journal of Computational and Applied Mathematics, Journal of Computational and Applied Mathematics Proceedings of IFAC Workshop on Periodic Control Systems, International Journal on Robust Nonlinear Control RECENT ADVANCES in AUTOMATION & INFORMATION ISSN: 1790-5117 43 ISBN: 978-960-474-193-9