Sur l'étude directe d'équations non linéaires intervenant en théorie du contrôle optimal

DOI10.1016/0022-1236(74)90002-0zbMath0293.49004OpenAlexW2079407222MaRDI QIDQ1212251

Luc Tartar

Publication date: 1974

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(74)90002-0

Mathematics Subject Classification ID

Control/observation systems in abstract spaces (93C25) Equations and inequalities involving linear operators, with vector unknowns (47A50) General theory of functional-differential equations (34K05) Banach spaces of continuous, differentiable or analytic functions (46E15) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30) Existence theories in calculus of variations and optimal control (49J99)

Related Items (17)

Convergence of Galerkin approximations for operator Riccati equations - a nonlinear evolution equation approach ⋮ Stationary stable solutions to the Riccati operational equation arising in the optimal control theory ⋮ Existence and uniqueness results for a nonlinear integrodifferential initial-value problem arising in transport theory ⋮ Some remarks on an operational time dependent equation ⋮ On the operator equation \(AX-XB+XDX=C\) ⋮ Asymptotic behaviour for a problem arising in the optimal control theory ⋮ Global existence for an abstract Riccati initial-value problem with possibly unbounded coefficients ⋮ On a two-point problem for a system of abstract differential equations ⋮ Local existence for a nonlinear operator equation arising in synthesis of optimal control ⋮ Global existence for a nonlinear operator equation arising in synthesis of optimal control ⋮ Direct solution of a Riccati equation arising in stochastic control theory ⋮ Convergence of the backward Euler scheme for the operator-valued Riccati differential equation with semi-definite data ⋮ Stochastic maximum principle for distributed parameter systems ⋮ Existence and approximation for stationary Hamilton Jacobi equations ⋮ Special factorization and Riccati integral equations ⋮ Solving algebraic and differential Riccati operator equations ⋮ Boundary problems for Riccati and Lyapunov equations

Cites Work

• Sur l'équation de Riccati associé a des opérateurs non bornés, en dimension infinie
• Some classes of functions defined by difference or differential inequalities
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