A second variational theory for optimal periodic processes
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Publication:3317651
DOI10.1109/TAC.1984.1103482zbMath0534.49021MaRDI QIDQ3317651
Publication date: 1984
Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)
Periodic solutions to ordinary differential equations (34C25) Eigenvalues, singular values, and eigenvectors (15A18) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Optimality conditions for problems involving ordinary differential equations (49K15) Local and nonlocal bifurcation theory for dynamical systems (37G99)
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Optimal periodic control for scalar dynamics under integral constraint on the input ⋮ Optimal lumped-parameter periodic processes ⋮ Quadratic control for linear periodic systems ⋮ Remarks on the periodic orbits of the matrix Riccati equation ⋮ Second order sufficient conditions for optimal control problems with non-unique minimizers: an abstract framework ⋮ Optimal control for quasi-linear systems with small parameters ⋮ Nonlinear Periodic Optimal Control: A Pseudospectral Fourier Approach ⋮ Almost automorphy and Riccati equation ⋮ Optimality for periodic control of functional differential systems ⋮ Second order optimality conditions for periodic optimal control problems governed by semilinear parabolic differential equations ⋮ Singular arcs in optimal periodic controls for scalar dynamics and integral input constraint ⋮ Maximum principle of optimal periodic control for functional differential systems ⋮ Coupled Points in the Calculus of Variations and Applications to Periodic Problems ⋮ Solution of a periodic optimal control problem by asymptotic series
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