메뉴 건너뛰기




Volumn 21, Issue 3, 2009, Pages 229-264

Regularity of distributional differential algebraic equations

Author keywords

Differential algebraic equations; Distributional solutions; Regularity

Indexed keywords

CONSTANT COEFFICIENTS; DIFFERENTIAL ALGEBRAIC EQUATIONS; GENERALIZED FUNCTIONS; INHOMOGENEITIES; INITIAL TIME; INITIAL VALUES; NEW APPROACHES; PIECE-WISE; SMOOTH FUNCTIONS; SOLUTIONS REGULARITY; SUFFICIENT AND NECESSARY CONDITION; TIME VARYING; TIME-VARYING COEFFICIENT;

EID: 72149102678     PISSN: 09324194     EISSN: 1435568X     Source Type: Journal    
DOI: 10.1007/s00498-009-0045-4     Document Type: Article
Times cited : (44)

References (35)
  • 2
    • 0021563031 scopus 로고
    • Controllability, observability and duality in singular systems
    • 10.1109/TAC.1984.1103451 771396
    • JD Cobb 1984 Controllability, observability and duality in singular systems IEEE Trans Autom Control AC-29 1076 1082 10.1109/TAC.1984.1103451 771396
    • (1984) IEEE Trans Autom Control , vol.29 , pp. 1076-1082
    • Cobb, J.D.1
  • 6
    • 34250525722 scopus 로고
    • Eine assoziative Algebra über einen Unterraum der Distributionen
    • 0164.43603 10.1007/BF01352145 238074
    • B Fuchssteiner 1968 Eine assoziative Algebra über einen Unterraum der Distributionen Math Ann 178 302 314 0164.43603 10.1007/BF01352145 238074
    • (1968) Math Ann , vol.178 , pp. 302-314
    • Fuchssteiner, B.1
  • 7
    • 72149119500 scopus 로고
    • Algebraic foundation of some distribution algebras
    • 751765
    • B Fuchssteiner 1984 Algebraic foundation of some distribution algebras Stud Math 76 439 453 751765
    • (1984) Stud Math , vol.76 , pp. 439-453
    • Fuchssteiner, B.1
  • 8
    • 0030142001 scopus 로고    scopus 로고
    • Impulsive-smooth behavior in multimode systems part I: State-space and polynomial representations
    • DOI 10.1016/0005-1098(96)00008-8, PII S0005109896000088
    • AHWT Geerts JM Schumacher 1996 Impulsive-smooth behavior in multimode systems. Part I: State-space and polynomial representations Automatica 32 5 747 758 0865.93029 10.1016/0005-1098(96)00008-8 1392062 (Pubitemid 126375111)
    • (1996) Automatica , vol.32 , Issue.5 , pp. 747-758
    • Geerts, A.H.W.1    Schumacher, J.M.2
  • 9
    • 0030164439 scopus 로고    scopus 로고
    • Impulsive-smooth behavior in multimode systems part II: Minimality and equivalence
    • DOI 10.1016/0005-1098(96)00007-6, PII S0005109896000076
    • AHWT Geerts JM Schumacher 1996 Impulsive-smooth behavior in multimode systems. Part II: Minimality and equivalence Automatica 32 6 819 832 0865.93030 10.1016/0005-1098(96)00007-6 1406885 (Pubitemid 126358410)
    • (1996) Automatica , vol.32 , Issue.6 , pp. 819-832
    • Geerts, A.H.W.1    Schumacher, J.M.2
  • 10
    • 0042178923 scopus 로고
    • Solvability conditions, consistency and weak consistency for linear differential-algebraic equations and time-invariant linear systems: The general case
    • 0772.34002 10.1016/0024-3795(93)90027-L 1204345
    • T Geerts 1993 Solvability conditions, consistency and weak consistency for linear differential-algebraic equations and time-invariant linear systems: the general case Linear Algebra Appl 181 111 130 0772.34002 10.1016/0024- 3795(93)90027-L 1204345
    • (1993) Linear Algebra Appl , vol.181 , pp. 111-130
    • Geerts, T.1
  • 11
    • 0030488326 scopus 로고    scopus 로고
    • Higher-order continuous-time implicit systems: Consistency and weak consistency, impulse controllability, geometric concepts, and invertibility properties
    • DOI 10.1016/0024-3795(94)00224-X
    • T Geerts 1996 Higher-order continuous-time implicit systems: Consistency and weak consistency, impulse controllability, geometric concepts, and invertibility properties Linear Algebra Appl 244 203 253 0865.93013 10.1016/0024-3795(94)00224-X 1403283 (Pubitemid 126389467)
    • (1996) Linear Algebra and Its Applications , vol.244 , pp. 203-253
    • Geerts, T.1
  • 13
    • 0001148316 scopus 로고
    • System structure and singular control
    • 0522.93021 10.1016/0024-3795(83)90062-9 699568
    • MLJ Hautus LM Silverman 1983 System structure and singular control Linear Algebra Appl 50 369 402 0522.93021 10.1016/0024-3795(83)90062-9 699568
    • (1983) Linear Algebra Appl , vol.50 , pp. 369-402
    • Hautus, M.L.J.1    Silverman, L.M.2
  • 14
    • 0019080515 scopus 로고
    • Solution modules and system equivalence
    • 0469.93036 10.1080/00207178008922891
    • D Hinrichsen D Prätzel-Wolters 1980 Solution modules and system equivalence Int J Control 32 777 802 0469.93036 10.1080/00207178008922891
    • (1980) Int J Control , vol.32 , pp. 777-802
    • Hinrichsen, D.1    Prätzel-Wolters, D.2
  • 15
    • 0003502632 scopus 로고
    • Distributions, ultradistributions and other generalized functions
    • Ellis Horwood, Chichester, West Sussex, UK
    • Hoskins RF, Sousa Pinto JJM (1994) Distributions, ultradistributions and other generalized functions. Mathematics and its applications. Ellis Horwood, Chichester, West Sussex, UK
    • (1994) Mathematics and its applications
    • Hoskins, R.F.1    Sousa Pinto, J.J.M.2
  • 16
  • 17
    • 34250941200 scopus 로고
    • Multiplikation von Distributionen, i
    • 0064.11303 10.1007/BF01360146 68745
    • H König 1955 Multiplikation von Distributionen, I Math Ann 128 420 452 0064.11303 10.1007/BF01360146 68745
    • (1955) Math Ann , vol.128 , pp. 420-452
    • König, H.1
  • 18
  • 19
    • 55549136442 scopus 로고    scopus 로고
    • Differential-Algebraic Equations
    • EMS Publishing House, Zürich, Switzerland
    • Kunkel P, Mehrmann V (2006) Differential-Algebraic Equations. Analysis and Numerical Solution. EMS Publishing House, Zürich, Switzerland
    • (2006) Analysis and Numerical Solution
    • Kunkel, P.1    Mehrmann, V.2
  • 23
    • 0003292314 scopus 로고
    • Multiplication of distributions and applications to partial differential equations
    • Longman Scientific & Technical, Harlow
    • Oberguggenberger M (1992) Multiplication of distributions and applications to partial differential equations. Pitman research notes in mathematics, vol 259. Longman Scientific & Technical, Harlow
    • (1992) Pitman Research Notes in Mathematics , vol.259
    • Oberguggenberger, M.1
  • 24
    • 0041513611 scopus 로고    scopus 로고
    • Time-dependent linear DAEs with discontinuous inputs
    • DOI 10.1016/0024-3795(94)00312-2
    • PJ Rabier WC Rheinboldt 1996 Time-dependent linear DAEs with discontinuous inputs Linear Algebra Appl 247 1 29 0864.65044 10.1016/0024-3795(94)00312-2 1412738 (Pubitemid 126391649)
    • (1996) Linear Algebra and Its Applications , vol.247 , pp. 1-29
    • Rabier, P.J.1    Rheinboldt, W.C.2
  • 25
    • 0346830372 scopus 로고    scopus 로고
    • Theoretical and numerical analysis of differential-algebraic equations
    • P.G. Ciarlet J.L. Lions (eds). Elsevier Science Amsterdam
    • Rabier PJ, Rheinboldt WC (2002) Theoretical and numerical analysis of differential-algebraic equations. In: Ciarlet PG, Lions JL (eds) Handbook of numerical analysis, vol VIII. Elsevier Science, Amsterdam, pp 183-537
    • (2002) Handbook of Numerical Analysis, Vol VIII , pp. 183-537
    • Rabier, P.J.1    Rheinboldt, W.C.2
  • 28
    • 0033076117 scopus 로고    scopus 로고
    • On the solution and impulsive behaviour of polynomial matrix descriptions of free linear multivariable systems
    • 1001.93039 10.1080/002071799221208 1674481
    • AIG Vardulakis EN Antoniou N Karampetakis 1999 On the solution and impulsive behaviour of polynomial matrix descriptions of free linear multivariable systems Int J Control 72 3 215 228 1001.93039 10.1080/ 002071799221208 1674481
    • (1999) Int J Control , vol.72 , Issue.3 , pp. 215-228
    • Vardulakis, A.I.G.1    Antoniou, E.N.2    Karampetakis, N.3
  • 29
    • 34249975090 scopus 로고
    • Infinite elementary divisors of polynomial matrices and impulsive solutions of linear homogeneous matrix differential equations
    • 0678.34002 10.1007/BF01598420 1015177
    • AIG Vardulakis G Fragulis 1989 Infinite elementary divisors of polynomial matrices and impulsive solutions of linear homogeneous matrix differential equations Circuits Syst Signal Process 8 3 357 373 0678.34002 10.1007/BF01598420 1015177
    • (1989) Circuits Syst Signal Process , vol.8 , Issue.3 , pp. 357-373
    • Vardulakis, A.I.G.1    Fragulis, G.2
  • 30
    • 0019599525 scopus 로고
    • A generalized state-space for singular systems
    • 10.1109/TAC.1981.1102763 635842
    • GC Verghese BC Levy T Kailath 1981 A generalized state-space for singular systems IEEE Trans Autom Control AC-26 4 811 831 10.1109/TAC.1981.1102763 635842
    • (1981) IEEE Trans Autom Control , vol.26 , Issue.4 , pp. 811-831
    • Verghese, G.C.1    Levy, B.C.2    Kailath, T.3
  • 31
    • 34250488162 scopus 로고
    • Über die Multiplikation von Distributionen in einem Folgenmodell
    • 0193.09403 10.1007/BF01352447 283568
    • HF Walter 1970 Über die Multiplikation von Distributionen in einem Folgenmodell Math Ann 189 211 221 0193.09403 10.1007/BF01352447 283568
    • (1970) Math Ann , vol.189 , pp. 211-221
    • Walter, H.F.1
  • 34
    • 50649116875 scopus 로고    scopus 로고
    • The behavioral approach to open and interconnected systems
    • 10.1109/MCS.2007.906923 2361742
    • JC Willems 2007 The behavioral approach to open and interconnected systems IEEE Control Syst Magazine 27 6 46 99 10.1109/MCS.2007.906923 2361742
    • (2007) IEEE Control Syst Magazine , vol.27 , Issue.6 , pp. 46-99
    • Willems, J.C.1
  • 35
    • 0019579160 scopus 로고
    • Solvability, controllability and observability of continuous descriptor systems
    • 10.1109/TAC.1981.1102699 630799
    • EL Yip RF Sincovec 1981 Solvability, controllability and observability of continuous descriptor systems IEEE Trans Autom Control AC-26 702 707 10.1109/TAC.1981.1102699 630799
    • (1981) IEEE Trans Autom Control , vol.26 , pp. 702-707
    • Yip, E.L.1    Sincovec, R.F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.