On the Phase Portrait of the Matrix Riccati Equation Arising from the Periodic Control Problem

DOI10.1137/0323045zbMath0578.93051OpenAlexW2012277537MaRDI QIDQ3701302

Mark A. Shayman

Publication date: 1985

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0323045

zbMATH Keywords

periodic solutionsalmost periodic solutionRiccati equationfinite escape time

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Asymptotic stability in control theory (93D20) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Control/observation systems governed by ordinary differential equations (93C15) Ordinary differential equations and systems on manifolds (34C40) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Stability theory for smooth dynamical systems (37C75)

Related Items

Differential periodic Riccati equations: Existence and uniqueness of nonnegative definite solutions ⋮ Noise induced escape from stable invariant tori ⋮ On the convergence to the strong solution of periodic Riccati equations ⋮ Reinforcement learning for adaptive optimal control of continuous-time linear periodic systems ⋮ A note on periodic solutions of Riccati equations ⋮ SDP-based approximation of stabilising solutions for periodic matrix Riccati differential equations ⋮ Convergence and existence results for continuous- and discrete-time Riccati equations ⋮ Maximal solution of a certain class of periodic Riccati differential equations ⋮ Unnamed Item ⋮ Quasi-potential calculation and minimum action method for limit cycle ⋮ Positive invariance and asymptotic stability of solutions to certain riccati equations ⋮ Unnamed Item ⋮ The simple pendulum and the periodic LQG control problem ⋮ A survey of nonsymmetric Riccati equations