The fundamental solution and its role in the optimal control of infinite dimensional neutral systems
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Publication:985715
DOI10.1007/s00245-009-9065-1zbMath1211.49030OpenAlexW1982230140MaRDI QIDQ985715
Publication date: 6 August 2010
Published in: Applied Mathematics and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00245-009-9065-1
optimal controlfundamental solutionneutral functional differential equationneutral resolvent operator
Neutral functional-differential equations (34K40) Optimality conditions for problems involving ordinary differential equations (49K15)
Related Items (12)
Fundamental solutions for semi-linear neutral retarded integro-differential systems and applications to control problems ⋮ Approximate controllability for a semilinear stochastic evolution system with infinite delay in \(L_p\) space ⋮ On a new class of abstract neutral integro-differential equations and applications ⋮ On regularity property of retarded Ornstein-Uhlenbeck processes in Hilbert spaces ⋮ Spectral properties and finite pole assignment of linear neutral systems in Banach spaces ⋮ Global attracting set and stability of stochastic neutral partial functional differential equations with impulses ⋮ Approximate controllability for semilinear second-order stochastic evolution systems with infinite delay ⋮ Exponential stability of neutral stochastic functional differential equations driven by G-Brownian motion ⋮ Optimal control problems for a semilinear evolution system with infinite delay ⋮ Retarded stationary Ornstein-Uhlenbeck processes driven by Lévy noise and operator self-decomposability ⋮ Approximate controllability of semilinear neutral evolution systems with delay ⋮ Exponential stability of solutions for retarded stochastic differential equations without dissipativity
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