Optimal control of parabolic differential equations with two point boundary state constraints

SIAM Journal on Control and Optimization

Volumn 38, Issue 5, 2000, Pages 1639-1654

  Wang, Gengsheng ^a  

^a CENTRAL CHINA NORMAL UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; CONSTRAINT THEORY; GRAPH THEORY; INTEGRAL EQUATIONS; OPTIMAL CONTROL SYSTEMS; OPTIMIZATION; THEOREM PROVING;

BOUNDARY STATE CONSTRAINTS; PARABOLIC DIFFERENTIAL EQUATIONS;

DIFFERENTIAL EQUATIONS;

EID: 0033708587     PISSN: 03630129     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0363012998338132     Document Type: Article

References (6)

1. V. BARBU, Optimal Control of Variational Inequalities, Res. Notes Math. 100, Pitman (Advanced Publishing Program), Boston, MA, London, UK, 1984.
2. Z. CAI, N. PAVEL, AND S. L. WEN, Optimal control of some partial differential equations with two-point boundary conditions, in Optimal Control of Differential Equations (Athens, OH, 1993), Lecture Notes in Pure and Appl. Math. 160, Dekker, New York, 1994, pp. 49-68.
3. F.H. CLARKE, Optimization and Nonsmooth Analysis, John Wiley and Sons, New York, 1983.
4. X. LI AND J. YONG, Optimal Control Theory for Infinite-Dimensional Systems, in Systems Control Found. Appl., Birkhäuser Boston, Boston, MA, 1995.
5. X. LI AND J. YONG, Necessary conditions for optimal control of distributed parameter systems, SIAM J. Control Optim., 29 (1991), pp. 895-908.
6. N. PAVEL, Nonlinear Evolution Operators and Semigroups. Applications to Partial Differential Equations, Lecture Notes in Math. 1260, Springer-Verlag, Berlin, New York, 1987.