Optimal control for evolution equations with discontinuous vector fields

Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis

Volumn 11, Issue 1, 2004, Pages 105-118

  Ahmed, N U ^a  

^a UNIVERSITY OF OTTAWA   (Canada)

Author keywords

Discontinous Vector Fields; Finitely Additive Measures; Measure solutions; Semigroups of Operators; Semilinear Equations

Indexed keywords

EID: 4544222018     PISSN: 12013390     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (13)

1. N.U. Ahmed, Measure Solutions for Evolutions Equations with Discontinuous Vector Fields, Nonlinear Functional Analysis and Applications (NFAA), (to appear).
2. N.U. Ahmed and X. Xiang, Differential Inclusions on Banach Spaces and Their Optimal Control, Nonlinear Functional Analysis and Applications (NFAA), (to appear).
3. N.U. Ahmed and K.L. Teo, (1981), Optimal Control of Distributed Parameter Systems, Elsevier North Holland, New York, Oxford.
4. N.U. Ahmed, A General Result on Measure Solutions for Semilinear Evolution Equations, Nonlinear Analysis: TMA, 42, (2000), 1335-1349.
5. ↔, Measure Solutions for Semilinear Evolution Equations with Polynomial Growth and Their Optimal Controls, Discussiones Mathematicae- Differential Inclusions, 17 (1997), 5-27.
6. H.O. Fattorini, A Remark on Existence of Solutions of Infinite Dimensional Noncompact Optimal Control Problems, SIAM Journal on Control and Optimization, 35, 4, (1997), 1422-1433.
7. N.U. Ahmed, Existence of Optimal Controls for a Class of Systems Governed by Differential Inclusions on a Banach Space, J. of Optimization Theory and applications 50 (2), (1986), 213-237.
8. ↔, Optimal Control of Infinite Dimensional Systems Governed by Integro Differential Equations, L. Markus Festschrift, (Eds. K.D. Elworthy, W.N. Everit and E.B. Lee), Marcel Dekker Lect. Notes, 152, (1993-94), 383-402.
9. N. Dunford and J.T. Schwartz, Linear Operators, Part 1, Interscience Publishers, Inc., New York, (1958).
10. Jun Kawabe, A Criterion for weak Compactness of Measures on Product Spaces with Applications, Yokohama Mathematical Journal, 42, (1994), 159-169.
11. N.U. Ahmed, Stone-Cech Compactification with Applications to Evolution Equations on Banach Spaces, Publicationes Mathematicae, Debrecen, 59 (3-4), (2001), 289-301.
12. A. Ionescu Tulcea and C. Ionescu Tulcea, Topics in the Theory of Lifting, Springer-Verlag, Berlin. Heideberg. New York, (1969).
13. N.U. Ahmed and K.L. Teo, Dynamic Models for Computer Communication Networks and Their Mathematical Analysis, Dynamics of Continuous, Discrete and Impulsive Systems (DCDIS), series B, 9, (2002), 507-524.