Viability Kernels and Control Sets

Dietmar Szolnoki

doi:10.1051/cocv:2000106

All issues

Volume 5 (2000)

ESAIM: COCV, 5 (2000) 175-185

References

Free Access

Issue		ESAIM: COCV Volume 5, 2000


Page(s)		175 - 185
DOI		https://doi.org/10.1051/cocv:2000106
Published online		15 August 2002

J.-P. AUBIN, Viability Theory. Birkhäuser (1991). [Google Scholar]
F. COLONIUS AND W. KLIEMANN, Infinite time optimal control and periodicity. Appl. Math. Optim. 20 (1989) 113-130. [CrossRef] [MathSciNet] [Google Scholar]
height 2pt depth -1.6pt width 23pt, Some aspects of control systems as dynamical systems. J. Dynam. Differential Equations 5 (1993) 469-494. [CrossRef] [MathSciNet] [Google Scholar]
height 2pt depth -1.6pt width 23pt, The Dynamics of Control. Birkhäuser (2000) to appear. [Google Scholar]
M. DELLNITZ AND A. HOHMANN, A subdivision algorithm for the computation of unstable manifolds and global attractors. Numer. Math. 75 (1997) 293-317. [CrossRef] [MathSciNet] [Google Scholar]
G. HÄCKL, Reachable Sets, Control Sets and Their Computation. Dissertation, Universität Augsburg, ``Augsburger Mathematische Schriften Band 7" (1996). [Google Scholar]
W. KLIEMANN, Qualitative Theorie Nichtlinearer Stochastischer Systeme. Dissertation, Universität Bremen (1980). [Google Scholar]
H. NIJMEIJER AND A.J. VAN DER SCHAFT, Nonlinear Dynamical Control Systems. Springer-Verlag (1990). [Google Scholar]
P. SAINT-PIERRE, Approximation of the viability kernel. Appl. Math. Optim. 29 (1994) 187-209. [CrossRef] [MathSciNet] [Google Scholar]
height 2pt depth -1.6pt width 23pt, Set-valued numerical analysis for optimal control and differential games (1998) to appear. [Google Scholar]
D. SZOLNOKI, Berechnung von Viabilitätskernen. Diplomarbeit, Institut für Mathematik, Universität Augsburg, Augsburg (1997). [Google Scholar]
A. UPPAL, W.H. RAY AND A.B. POORE, On the dynamic behavior of continuous stirred tank reactors. Chem. Engrg. Sci. 19 (1974) 967-985. [CrossRef] [Google Scholar]

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[1] J.-P. AUBIN, Viability Theory. Birkhäuser (1991). [Google Scholar]

[2] F. COLONIUS AND W. KLIEMANN, Infinite time optimal control and periodicity. Appl. Math. Optim. 20 (1989) 113-130. [CrossRef] [MathSciNet] [Google Scholar]

[3] height 2pt depth -1.6pt width 23pt, Some aspects of control systems as dynamical systems. J. Dynam. Differential Equations 5 (1993) 469-494. [CrossRef] [MathSciNet] [Google Scholar]

[4] height 2pt depth -1.6pt width 23pt, The Dynamics of Control. Birkhäuser (2000) to appear. [Google Scholar]

[5] M. DELLNITZ AND A. HOHMANN, A subdivision algorithm for the computation of unstable manifolds and global attractors. Numer. Math. 75 (1997) 293-317. [CrossRef] [MathSciNet] [Google Scholar]

[6] G. HÄCKL, Reachable Sets, Control Sets and Their Computation. Dissertation, Universität Augsburg, ``Augsburger Mathematische Schriften Band 7" (1996). [Google Scholar]

[7] W. KLIEMANN, Qualitative Theorie Nichtlinearer Stochastischer Systeme. Dissertation, Universität Bremen (1980). [Google Scholar]

[8] H. NIJMEIJER AND A.J. VAN DER SCHAFT, Nonlinear Dynamical Control Systems. Springer-Verlag (1990). [Google Scholar]

[9] P. SAINT-PIERRE, Approximation of the viability kernel. Appl. Math. Optim. 29 (1994) 187-209. [CrossRef] [MathSciNet] [Google Scholar]

[10] height 2pt depth -1.6pt width 23pt, Set-valued numerical analysis for optimal control and differential games (1998) to appear. [Google Scholar]

[11] D. SZOLNOKI, Berechnung von Viabilitätskernen. Diplomarbeit, Institut für Mathematik, Universität Augsburg, Augsburg (1997). [Google Scholar]

[12] A. UPPAL, W.H. RAY AND A.B. POORE, On the dynamic behavior of continuous stirred tank reactors. Chem. Engrg. Sci. 19 (1974) 967-985. [CrossRef] [Google Scholar]