메뉴 건너뛰기




Volumn 43, Issue 8, 1996, Pages 617-626

Stability analysis of differential inclusions in banach space with applications to nonlinear systems with time delays

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; CONTROL NONLINEARITIES; DIFFERENTIAL EQUATIONS; FEEDBACK CONTROL; FUNCTIONS; INTEGRATED CIRCUITS; LYAPUNOV METHODS; NEURAL NETWORKS; NONLINEAR CONTROL SYSTEMS;

EID: 0030215775     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/81.526677     Document Type: Article
Times cited : (30)

References (34)
  • 1
    • 0013291719 scopus 로고    scopus 로고
    • Cunünuous sections and diffeiential relations, vol. 19, pp. 386-398, 1975.
    • H. A. Antosiewics and A. Cellina, "Cunünuous sections and diffeiential relations," J. Oiff. F.q., vol. 19, pp. 386-398, 1975.
    • J. Oiff. F.q.
    • Antosiewics, H.A.1    Cellina, A.2
  • 3
    • 50549204934 scopus 로고    scopus 로고
    • Integrals of set-valued functions, vol. 12, pp. 1-12, 1965.
    • R. J. Aumann, "Integrals of set-valued functions," J. Math. Anal. Appl.. vol. 12, pp. 1-12, 1965.
    • J. Math. Anal. Appl..
    • Aumann, R.J.1
  • 4
    • 0027154346 scopus 로고    scopus 로고
    • Averaged neural networks, vol. 6, pp. 677-680, 1993.
    • T. A. Burton, "Averaged neural networks," Neural Networks, vol. 6, pp. 677-680, 1993.
    • Neural Networks
    • Burton, T.A.1
  • 5
    • 0014747004 scopus 로고    scopus 로고
    • Multivalued differential equations and ordinary differential equations, 533-538, 1970.
    • A. Cellina, "Multivalued differential equations and ordinary differential equations," SIAM J. Appl. Math., vol. IS, pp. 533-538, 1970.
    • SIAM J. Appl. Math., Vol. IS, Pp.
    • Cellina, A.1
  • 7
    • 33747808434 scopus 로고    scopus 로고
    • Classical solutions of differential equations with multivalued right-hand side, 5, pp. 609-621, 1967.
    • A. F. Filippov. "Classical solutions of differential equations with multivalued right-hand side," SIAM J. Conlr., vol, 5, pp. 609-621, 1967.
    • SIAM J. Conlr., Vol
    • Filippov, A.F.1
  • 8
    • 0023305968 scopus 로고    scopus 로고
    • Local controllability and infinitesimal generators of semigroups of set-valued maps, vol. 25. pp. 412-432, 1987.
    • H. Frankowska, "Local controllability and infinitesimal generators of semigroups of set-valued maps," SIAM J. Contr. Optim. vol. 25. pp. 412-432, 1987.
    • SIAM J. Contr. Optim.
    • Frankowska, H.1
  • 9
    • 38249019165 scopus 로고    scopus 로고
    • A priori estimates for operational differential inclusions, vol. 84, pp. 100-128. 1990.
    • _, "A priori estimates for operational differential inclusions," J. r>iff. F.q., vol. 84, pp. 100-128. 1990.
    • J. R>iff. F.q.
  • 10
    • 0014492316 scopus 로고    scopus 로고
    • Dynamical systems and stability, vol. 26, pp. 39-59, 1969.
    • J. K. Hale, "Dynamical systems and stability," J. Math. Anal. Appl., vol. 26, pp. 39-59, 1969.
    • J. Math. Anal. Appl.
    • Hale, J.K.1
  • 11
    • 0007082735 scopus 로고    scopus 로고
    • Theory of a general class of dissipative processes, vol. 39 pp. 177-191, 1972.
    • J. K. Hale, J. P. LaSalle, and M. Slemrod, "Theory of a general class of dissipative processes," J. Math, Anal. Appl., vol. 39 pp. 177-191, 1972.
    • J. Math, Anal. Appl.
    • Hale, J.K.1    Lasalle, J.P.2    Slemrod, M.3
  • 14
    • 0000256610 scopus 로고    scopus 로고
    • Stability of analog neural networks with delay, vol. 39, pp. 347-359, 1989.
    • C. M. Marcus and R. M. Westervelt, "Stability of analog neural networks with delay," Phys. Rev. A. vol. 39, pp. 347-359, 1989.
    • Phys. Rev. A.
    • Marcus, C.M.1    Westervelt, R.M.2
  • 15
    • 0025418943 scopus 로고    scopus 로고
    • Associative memories via artificial neural networks, vol. 10, pp. 6-17, 1990.
    • A. N. Michel and J. A. Farrell, "Associative memories via artificial neural networks," IEEE Cnntr. Syst. Mag., vol. 10, pp. 6-17, 1990.
    • IEEE Cnntr. Syst. Mag.
    • Michel, A.N.1    Farrell, J.A.2
  • 18
    • 33747755306 scopus 로고    scopus 로고
    • Lyapunov functions that specify necessary and sufficient conditions of absolute stability of nonlinear nonstationary control systems, vol. 3, pp. 63-73, 1986.
    • A. P. Molchanov and E. S. Pyatnitskii, "Lyapunov functions that specify necessary and sufficient conditions of absolute stability of nonlinear nonstationary control systems," Avtomatika i Teiemekhanika, vol. 3, pp. 63-73, 1986.
    • Avtomatika I Teiemekhanika
    • Molchanov, A.P.1    Pyatnitskii, E.S.2
  • 20
    • 84972557351 scopus 로고    scopus 로고
    • A relaxation theorem for differential inclusions in Banach space, vol. 39, pp. 50.1-517, 1987.
    • N. S. Papageorgiou, "A relaxation theorem for differential inclusions in Banach space," Töhoku Math. J, vol. 39, pp. 50.1-517, 1987.
    • Töhoku Math. J
    • Papageorgiou, N.S.1
  • 22
    • 0027582973 scopus 로고    scopus 로고
    • C. W. Wn, and I,. O. Chua, Stability of cellular neural networks with dominant nonlinear and delay-type templates, vol. 40, pp. 270-271, 1993.
    • T. Roska. C. W. Wn, and I,. O. Chua, "Stability of cellular neural networks with dominant nonlinear and delay-type templates," IEEE Tram. Circuits Syst., vol. 40, pp. 270-271, 1993.
    • IEEE Tram. Circuits Syst.
    • Roska, T.1
  • 23
    • 33747791900 scopus 로고    scopus 로고
    • The solution set of differential inclusion in a Banach space. I, vol. 24, pp. 144-159, 1983.
    • A. A. Tolstonov and P. I. Chugunov, "The solution set of differential inclusion in a Banach space. I," Sibirsk Mat. Zh., vol. 24, pp. 144-159, 1983.
    • Sibirsk Mat. Zh.
    • Tolstonov, A.A.1    Chugunov, P.I.2
  • 24
    • 33747791900 scopus 로고    scopus 로고
    • The solution set of a differential inclusion in a Banach space, 11, vol. 25, pp. 159-173, 1984.
    • A. A. Tnlstonov, "The solution set of a differential inclusion in a Banach space, 11," Sibirsk Mat. Zh., vol. 25, pp. 159-173, 1984.
    • Sibirsk Mat. Zh.
    • Tnlstonov, A.A.1
  • 25
    • 33747781280 scopus 로고    scopus 로고
    • Sur les trajectories des systèmes de commande nonlineaires, vol. 10, pp. 111-128, 1962.
    • A. Turowicz, "Sur les trajectories des systèmes de commande nonlineaires," Bull. Acad. Palon. Sei. Per. Math. Astronom. Phys., vol. 10, pp. 111-128, 1962.
    • Bull. Acad. Palon. Sei. Per. Math. Astronom. Phys.
    • Turowicz, A.1
  • 26
    • 84977686691 scopus 로고    scopus 로고
    • Some theorems on the dynamic response of nonlinear transistor networks, vol. 48, pp. 35-54, 1969.
    • I. W. Sandherg, "Some theorems on the dynamic response of nonlinear transistor networks," Bell Syst. Tech. J., vol. 48, pp. 35-54, 1969.
    • Bell Syst. Tech. J.
    • Sandherg, I.W.1
  • 27
    • 33747799482 scopus 로고    scopus 로고
    • Lyapunov stability ot dynamical systems determined by differential inequalities with applications to robust stability, vol. 4, 1993, pp. 359-363.
    • K. Wang and A. N. Michel, "Lyapunov stability ot dynamical systems determined by differential inequalities with applications to robust stability," in Prof. 12lh World Congress, Int. Federation Automat. Contr, vol. 4, 1993, pp. 359-363.
    • In Prof. 12lh World Congress, Int. Federation Automat. Contr
    • Wang, K.1    Michel, A.N.2
  • 28
    • 0028424404 scopus 로고    scopus 로고
    • Qualitative analysis of dynamical systems determined by differential inequalities with applications to robust stability, vol. 40, pp. 377-386, May 1994.
    • _, "Qualitative analysis of dynamical systems determined by differential inequalities with applications to robust stability," IEEE Trans. Circuits Syst., vol. 40, pp. 377-386, May 1994.
    • IEEE Trans. Circuits Syst.
  • 29
    • 50549155049 scopus 로고    scopus 로고
    • Relaxed variational problems, vol. 4, pp. 111-128. 1962.
    • J. Warga, "Relaxed variational problems," J. Math. Anal. Appi., vol. 4, pp. 111-128. 1962.
    • J. Math. Anal. Appi.
    • Warga, J.1
  • 30
    • 33747791570 scopus 로고    scopus 로고
    • Sur une generalization de la notion des solutions d'une équation au contingent, vol. 10, pp. 11-15, 1962.
    • T. Wazewski. "Sur une generalization de la notion des solutions d'une équation au contingent," Bull. Acad. Polon. Sei. Ser. Math. Astronom. Phys.. vol. 10, pp. 11-15, 1962.
    • Bull. Acad. Polon. Sei. Ser. Math. Astronom. Phys..
    • Wazewski, T.1
  • 31
    • 0009690591 scopus 로고    scopus 로고
    • Asymptotic behavior of solutions of a system of differential equations, vol. 1, pp. 371-387, 1963.
    • T. Yoshizawa, "Asymptotic behavior of solutions of a system of differential equations," Contrib. Diff. Eq., vol. 1, pp. 371-387, 1963.
    • Contrib. Diff. Eq.
    • Yoshizawa, T.1
  • 32
    • 0001445438 scopus 로고    scopus 로고
    • On the solution set of differential inclusions in Banach spaces. vol. 93, pp. 213-237, 1991.
    • Q. J. Zhu. "On the solution set of differential inclusions in Banach spaces." J. of Diff. Eq., vol. 93, pp. 213-237, 1991.
    • J. of Diff. Eq.
    • Zhu, Q.J.1
  • 34
    • 0014884147 scopus 로고    scopus 로고
    • On the absolute stability of nonlinear netwoiks interconnected by lossless transmission lines, vol. 17, pp. 575-584, 1970.
    • R. J. P. dcFigueiredo and C. Y. Ho, "On the absolute stability of nonlinear netwoiks interconnected by lossless transmission lines," IEEE Trans. Circuit Theory, vol. 17, pp. 575-584, 1970.
    • IEEE Trans. Circuit Theory
    • Dcfigueiredo, R.J.P.1    Ho, C.Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.