Optimal control of undamped Sobolev-type retarded systems

DOI10.1134/S0001434617090012zbMath1383.49004OpenAlexW2766748392MaRDI QIDQ679845

Larisa Vlasenko, Anatoliy Rutkas

Publication date: 22 January 2018

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434617090012

zbMATH Keywords

operator-differential equationcosine operator functionquadratic cost functionalnon-Kovalevskaya-type partial differential equation

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Control/observation systems governed by partial differential equations (93C20) Existence theories for problems in abstract spaces (49J27) Existence theories for optimal control problems involving partial differential equations (49J20) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20) Existence theories in calculus of variations and optimal control (49J99)

Related Items

Entire solutions of one linear implicit differential-difference equation in Banach spaces ⋮ Initial problem for a nonhomogeneous linear differential-difference equation in a Banach space for a class of exponential type entire functions ⋮ Functional-differential games with nonatomic difference operator

Cites Work

• Spectral and oscillatory properties of a linear pencil of fourth-order differential operators
• Self\(adjoint\) quadratic operator pencils and elliptic problems
• A partial functional differential equation of Sobolev type
• Optimal control of linear retarded systems in Banach spaces
• Theory of functional differential equations. 2nd ed
• Semigroups of operators, cosine operator functions, and linear differential equations
• On a class of impulsive functional-differential equations with nonatomic difference operator
• Cosine families and abstract nonlinear second order differential equations
• Optimal control of a distributed hyperbolic system with multiple time-varying lags
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Optimal control of undamped Sobolev-type retarded systems