Chandrasekhar equations for infinite dimensional systems
Chandrasekhar equations for infinite dimensional systems
This paper presents the Chandrasekhar equations for systems defined by evolution equations on Hilbert spaces. The form of the Chandrasekhar equations implies that the solution of the associated Riccati equation is strongly differentiable in time and one can define a ''strong'' solution of the Riccati equation. As a specific example the linear-quadratic optimal control problem for hereditary differential systems is considered in which the input and output spaces are finite-dimensional.
- Brown University United States
- National Aeronautics and Space Administration United States
- Langley Research Center United States
Control problems for functional-differential equations, hereditary differential systems, Optimality conditions for problems in abstract spaces, time-invariant, linear-quadratic optimal control, evolution equations on Hilbert spaces, Groups and semigroups of linear operators, Riccati equation, Linear systems in control theory, Chandrasekhar equations, Control/observation systems in abstract spaces, Equations involving linear operators, with operator unknowns
Control problems for functional-differential equations, hereditary differential systems, Optimality conditions for problems in abstract spaces, time-invariant, linear-quadratic optimal control, evolution equations on Hilbert spaces, Groups and semigroups of linear operators, Riccati equation, Linear systems in control theory, Chandrasekhar equations, Control/observation systems in abstract spaces, Equations involving linear operators, with operator unknowns
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