Generalized solutions of time dependent impulsive control systems

Chang Eon Shin; Ryu Ji Hyun

Rendiconti del Seminario Matematico della Università di Padova (1999)

  • Volume: 101, page 161-178
  • ISSN: 0041-8994

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Shin, Chang Eon, and Hyun, Ryu Ji. "Generalized solutions of time dependent impulsive control systems." Rendiconti del Seminario Matematico della Università di Padova 101 (1999): 161-178. <http://eudml.org/doc/108482>.

@article{Shin1999,
author = {Shin, Chang Eon, Hyun, Ryu Ji},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {impulsive Cauchy problem},
language = {eng},
pages = {161-178},
publisher = {Seminario Matematico of the University of Padua},
title = {Generalized solutions of time dependent impulsive control systems},
url = {http://eudml.org/doc/108482},
volume = {101},
year = {1999},
}

TY - JOUR
AU - Shin, Chang Eon
AU - Hyun, Ryu Ji
TI - Generalized solutions of time dependent impulsive control systems
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1999
PB - Seminario Matematico of the University of Padua
VL - 101
SP - 161
EP - 178
LA - eng
KW - impulsive Cauchy problem
UR - http://eudml.org/doc/108482
ER -

References

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  1. [1] A.F. Fillipov, Differential Equations with Discontinuous Righthand Sides, Kluwer Academic Pulishers, Dordrecht (1988). Zbl0664.34001MR1028776
  2. [2] A. Bressan, Impulsive control systems, in Nonsmooth Analysis and Geometric Methods in Deterministic Optimal Control, Springer (1995), pp. 1-22. Zbl0864.49023MR1411704
  3. [3] A. Bressan, On differential systems with impulsive Controls, Rend. Sem. Mat. Univ. Padova, 77 (1987), pp. 1-9. MR934514
  4. [4] A. Bressan - F. Rampazzo, Impulsive systems with commutative vector fields, J. Optim. Theory Appl., 71 (1991), pp. 67-83. Zbl0793.49014MR1131450
  5. [5] A. Bressan - F. Rampazzo, On differential systems with vector-valued impulsive controls, Boll. Un. Mat. Ital., (7), 2-B (1988), pp. 641-656. Zbl0653.49002MR963323
  6. [6] A. Bressan - M. Monica Motta, Some optimization problems with monotone impulsive character. Approximation by means of structural discontinuities, Atti Accad. Naz. Lincei, Serie IX, 2 (1994), pp. 31-52. Zbl0810.93039MR1273635
  7. [7] G.B. Folland, Real Analysis, Wiley Interscience (1984). Zbl0549.28001MR767633
  8. [8] S.G. Pandit - S.G. Deo, Differential Systems involving Impulses, Lecture Notes in Math., vol. 954, Springer (1982). Zbl0539.34001MR674119
  9. [9] W.W. Schmaedeke, Optimal control theory for nonlinear vector differential equations containing measures, SIAM J. Control, 3 (1965), pp. 231-280. Zbl0161.29203MR189870
  10. [10] H.J. Sussmann, On the gap between deterministic and stochastic ordinary differential equations, Ann. of Probability, 6 (1987), pp. 17-41. Zbl0391.60056MR461664

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