This is a preview of subscription content, log in via an institution to check access.
Preview
Unable to display preview. Download preview PDF.
References
R.A. ADAMS, Sobolev Spaces. Academic Press, New York, 1975.
J.P. AUBIN and I. EKELAND, Applied Nonlinear Analysis. Wiley, New York, 1984.
A.V. BALAKRISHNAN, On a new computing technique in optimal control, SIAM J. Control 6 (1968) 149–173.
V. BARBU, Optimal Control of Variational Inequalities. Research Notes in Math. 100, Pitman, London 1984.
V. BARBU, The time optimal problem for a class of nonlinear distributed systems. Preprint.
I. EKELAND, Nonconvex minimization problems. Bull. Amer. Math. Soc. 1(NS) (1979) 443–474.
H.O. FATTORINI, The time optimal control problem in Banach spaces. Appl. Math. Optimization 1 (1974) 163–188.
H.O. FATTORINI, Local controllability of a nonlinear wave equation. Math. Systems Theory 9 (1975) 30–44.
H.O. FATTORINI, The time optimal problem for distributed control of systems described by the wave equation. Control Theory of Systems Described by Partial Differential Equations, Academic Press, New York (1977) 151–175.
H.O. FATTORINI, The maximum principle for nonlinear nonconvex systems in infinite dimensional spaces. Proceedings of the 2nd. International Conference on Control Theory of Distributed Parameter Systems, Vorau (1984).
H.O. Fattorini, The maximum principle for nonlinear nonconvex systems with set targets. Proceedings of the 24th. IEEE Conference on Decision and Control, Fort Lauderdale (1985) 1999–2004.
H.O. FATTORINI, A unified theory of necessary conditions for nonlinear nonconvex control systems. To appear.
H.O. FATTORINI, Optimal control of nonlinear systems: convergence of suboptimal controls, I. To appear.
K. JÖRGENS, Das Anfangswertproblem in Grossen für eine Klasse nichtlinearer Wellengleichungen, Math. Z. 77 (1961) 295–308.
V.P. MIHAILOV, Partial Differential Equations. Mir, Moscow, 1978.
V.I. PLOTNIKOV and M.I. SUMIN, The construction of minimizing sequences in problems of control of systems with distributed parameter systems, Zh. Vycisl. Mat. mat. fiz. 22 (1982) 49–56.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1987 International Federation for Information Processing
About this paper
Cite this paper
Fattorini, H.O. (1987). Optimal control of nonlinear systems: Convergence of suboptimal controls, II. In: Lasiecka, I., Triggiani, R. (eds) Control Problems for Systems Described by Partial Differential Equations and Applications. Lecture Notes in Control and Information Sciences, vol 97. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0038756
Download citation
DOI: https://doi.org/10.1007/BFb0038756
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-18054-8
Online ISBN: 978-3-540-47722-8
eBook Packages: Springer Book Archive