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Volumn 62, Issue 3, 2005, Pages 417-428

Integro-sum inequalities and motion stability of systems with impulse perturbations

Author keywords

Differential equations; Impulse influence; Integro sum inequalities

Indexed keywords

APPROXIMATION THEORY; ASYMPTOTIC STABILITY; FUNCTIONS; MATRIX ALGEBRA; PERTURBATION TECHNIQUES; THEOREM PROVING;

EID: 18944398719     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2005.03.032     Document Type: Article
Times cited : (24)

References (36)
  • 2
    • 12144274890 scopus 로고
    • On integral inequalities
    • N.V. Azbelev, and Z.B. Tsalyuk On integral inequalities Mat. Sb. 56 3 1962 325 342
    • (1962) Mat. Sb. , vol.56 , Issue.3 , pp. 325-342
    • Azbelev, N.V.1    Tsalyuk, Z.B.2
  • 3
    • 18944365165 scopus 로고
    • On stability with respect to impulse excitations
    • E.A. Barbashin On stability with respect to impulse excitations Differentsial'nye Uravneniya 2 7 1966 863 871
    • (1966) Differentsial'Nye Uravneniya , vol.2 , Issue.7 , pp. 863-871
    • Barbashin, E.A.1
  • 5
    • 34250577382 scopus 로고
    • A generalization of a lemma of Bellman and its application to uniqueness problems of differential equations
    • J. Bihari A generalization of a lemma of Bellman and its application to uniqueness problems of differential equations Acta Math. Acad. Sci. Hung. 7 1 1956 71 94
    • (1956) Acta Math. Acad. Sci. Hung. , vol.7 , Issue.1 , pp. 71-94
    • Bihari, J.1
  • 8
    • 84968509305 scopus 로고
    • Linear generalization of Gronwall's inequality
    • J. Chandra, and P. Davis Linear generalization of Gronwall's inequality Proc. Amer. Math. Soc. 60 1976 157 160
    • (1976) Proc. Amer. Math. Soc. , vol.60 , pp. 157-160
    • Chandra, J.1    Davis, P.2
  • 9
    • 0004065508 scopus 로고
    • New method of approximate integration of differential equations
    • S.A. Chaplygin New method of approximate integration of differential equations Proc. Central Aerodyn. Inst. Vyp. 130 1932 5 17
    • (1932) Proc. Central Aerodyn. Inst. Vyp. , vol.130 , pp. 5-17
    • Chaplygin, S.A.1
  • 15
    • 0002118654 scopus 로고
    • Fundamental inequalities for discrete and discontinuous functional equations
    • G.S. Jones Fundamental inequalities for discrete and discontinuous functional equations SIAM J. 12 1 1964 43 57
    • (1964) SIAM J. , vol.12 , Issue.1 , pp. 43-57
    • Jones, G.S.1
  • 17
    • 19844376073 scopus 로고
    • A variation of constants formula and Bellman-Gronwall-Reid inequalities
    • V. Lakshmikantham A variation of constants formula and Bellman-Gronwall-Reid inequalities IBID 41 1 1973 199 204
    • (1973) IBID , vol.41 , Issue.1 , pp. 199-204
    • Lakshmikantham, V.1
  • 19
    • 0000447841 scopus 로고
    • General problem on motion stability
    • A.M. Lyapunov General problem on motion stability Collection Works, Moscow 2 1956 7 264
    • (1956) Collection Works, Moscow , vol.2 , pp. 7-264
    • Lyapunov, A.M.1
  • 21
    • 0001616522 scopus 로고
    • About stability of motion with pushes
    • V.D. Milman, and A.D. Myshkis About stability of motion with pushes Sibirsk. Mat. Zh. 1 2 1960 233 237
    • (1960) Sibirsk. Mat. Zh. , vol.1 , Issue.2 , pp. 233-237
    • Milman, V.D.1    Myshkis, A.D.2
  • 23
    • 0040490106 scopus 로고
    • Systems with impulses in the present instants
    • A.D. Myshkis, and A.M. Samoilenko Systems with impulses in the present instants Mat. Sb. 74 2 1967 202 208
    • (1967) Mat. Sb. , vol.74 , Issue.2 , pp. 202-208
    • Myshkis, A.D.1    Samoilenko, A.M.2
  • 24
    • 84971150711 scopus 로고
    • On the stability of impulsively perturbed differential systems
    • S.G. Pandit On the stability of impulsively perturbed differential systems Bull. Austral. Math. Soc. 17 3 1977 423 432
    • (1977) Bull. Austral. Math. Soc. , vol.17 , Issue.3 , pp. 423-432
    • Pandit, S.G.1
  • 25
    • 84972510145 scopus 로고
    • Differential systems with impulsive perturbations
    • S.G. Pandit Differential systems with impulsive perturbations Pacific J. Math. 86 2 1986 553 560
    • (1986) Pacific J. Math. , vol.86 , Issue.2 , pp. 553-560
    • Pandit, S.G.1
  • 26
    • 9344231849 scopus 로고
    • Stability of a class of discontinuous dynamical systems
    • T. Pavlidis Stability of a class of discontinuous dynamical systems Inform. Control 9 6 1966 298 322
    • (1966) Inform. Control , vol.9 , Issue.6 , pp. 298-322
    • Pavlidis, T.1
  • 27
    • 0001170170 scopus 로고
    • Optimal control of pulse frequency modulated systems
    • T. Pavlidis Optimal control of pulse frequency modulated systems IEEE Trans. Automat. Control AC 11 4 1966 676 685
    • (1966) IEEE Trans. Automat. Control AC , vol.11 , Issue.4 , pp. 676-685
    • Pavlidis, T.1
  • 28
    • 0002667337 scopus 로고
    • Analysis of new class of pulse-frequency modulated geed-back systems
    • T. Pavlidis, and E.I. Jury Analysis of new class of pulse-frequency modulated geed-back systems IEEE Trans. Automat. Control Nol. AC 10 1 1965 35 43
    • (1965) IEEE Trans. Automat. Control Nol. AC , vol.10 , Issue.1 , pp. 35-43
    • Pavlidis, T.1    Jury, E.I.2
  • 29
    • 0016128106 scopus 로고
    • On the stability of differential systems with respect to impulse perturbations
    • V. Raghavendra, and M.R. Mohana Rao On the stability of differential systems with respect to impulse perturbations J. Math. Anal. Appl. 48 2 1974 515 526
    • (1974) J. Math. Anal. Appl. , vol.48 , Issue.2 , pp. 515-526
    • Raghavendra, V.1    Mohana Rao, M.R.2
  • 30
    • 19844377746 scopus 로고
    • On an application of solvability conditions of Chaplygin problems for the problems of boundedness and solution stability of differential equations
    • L.F. Rakhmatullina On an application of solvability conditions of Chaplygin problems for the problems of boundedness and solution stability of differential equations Jzv. Vuzov 2 1959 198 201
    • (1959) Jzv. Vuzov , vol.2 , pp. 198-201
    • Rakhmatullina, L.F.1
  • 32
    • 19844371252 scopus 로고
    • Swace Instabieität im ganzen von nichtlineare Impulse-systemen
    • V. Reitmann Swace Instabieität im ganzen von nichtlineare Impulse-systemen Wiss. z. Techn. Univ. Dresgen 26 6 1977 1055 1057
    • (1977) Wiss. Z. Techn. Univ. Dresgen , vol.26 , Issue.6 , pp. 1055-1057
    • Reitmann, V.1
  • 33
    • 49349120178 scopus 로고
    • Asymptotical of measure differential equations
    • V.S. Hari Rao Asymptotical of measure differential equations Nonlinear Anal. TMA 27 2 1978 483 489
    • (1978) Nonlinear Anal. TMA , vol.27 , Issue.2 , pp. 483-489
    • Hari Rao, V.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.