Optimal control of Cauchy problem for first-order discrete and partial differential inclusions

被引：0
作者：
E. N. Mahmudov
机构：
[1] Azerbaijan National Academy of Sciences,Institute of Cybernetics
[2] Istanbul Technical University,undefined
来源：
Journal of Dynamical and Control Systems | 2009年 / 15卷
关键词：
Set-valued; Cauchy problem; locally conjugate; approximation; improper integral; 49K20; 49K24;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Optimization of Cauchy problem for discrete inclusions is reduced to problem with geometric constraints in Hilbert space ℓ2 and necessary and sufficient condition for optimality is derived. Both for convex and non-convex partial differential inclusions the Cauchy type optimization is stated and on the basis of apparatus of locally conjugate mappings sufficient conditions are formulated. The obtained results are generalized to the multidimensional case.
引用
收藏
页码：587 / 610
页数：23
相关论文
共 25 条
[1]  
Aubin JP(2004)Boundary-value problems for systems of first-order partial differential inclusions Nonlin. Differ. Equations Appl. 7 67-90
[2]  
Aubin JP(1996)Set-valued solutions to the Cauchy problem for hyperbolic system of partial differential inclusion Nonlin. Differ. Equations Appl. 4 149-168
[3]  
Frankowska H(2001)Nonlocal Cauchy problems for neutral functional differential and integro-differential inclusions in Banach spaces J. Math. Anal. Appl. 258 573-590
[4]  
Bencohra M(1995)Qualitative proporties of trajectories of control systems: A survey J. Dynam. Control Systems 1 1-47
[5]  
Ntouyas SK(2004)On a nonlocal Cauchy problem for differential inclusions Abstr. Appl. Anal. 5 425-434
[6]  
Clarke FH(1997)Bolza problems with general time constraints SIAM J. Control Optim. 35 2050-2069
[7]  
Ledyaev Yu S(2006)Necessary and sufficient conditions for discrete and differential inclusions of elliptic type J. Math. Anal. Appl. 323 768-789
[8]  
Stern RJ(2007)Locally adjoint mappings and optimization of the first boundary-value problem for hyperbolic type discrete and differential inclusions Nonlin. Anal. TMA 67 2966-2981
[9]  
Wolenski PR(2008)Sufficient conditions for optimality for differential inclusions of parabolic type and duality J. Global Optim. 41 31-42
[10]  
Gatsori E(2005)The optimality principle for discrete and first-order differential inclusions J. Math. Anal. Appl. 308 605-619
123