Cheap control of the time-invariant regulator

DOI10.1007/BF01447957zbMath0307.49040OpenAlexW1991914862MaRDI QIDQ1218173

Robert E. jun. O'Malley, Anthony Jameson

Publication date: 1975

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01447957

Mathematics Subject Classification ID

Controllability (93B05) Linear systems in control theory (93C05) Model systems in control theory (93C99)

Related Items (16)

Optimal harvesting of a logistic population in an environment with stochastic jumps ⋮ Input/output structure of the infinite horizon LQ bumpless transfer and its implications for transfer operator synthesis ⋮ All optimal controls for the singular linear-quadratic problem without stability; a new interpretation of the optimal cost ⋮ Convergence in the boundary layer for singularly perturbed equations ⋮ Asymptotic properties of an infinite horizon partial cheap control problem for linear systems with known disturbances ⋮ A new synthetic output tracking scheme for non-minimum phase affine nonlinear systems ⋮ Numerical convergence for the Bellman equation of stochastic optimal control with quadratic costs and constraints ⋮ Suboptimal solution of a cheap control problem for linear systems with multiple state delays ⋮ Singular perturbations and order reduction in control theory - an overview ⋮ On optimal correction problems with partial information ⋮ Continuity properties of the cheap-control problem without stability ⋮ Minimization of degenerate integral quadratic functionals ⋮ Direct singular perturbation analysis of high-gain and cheap control problems ⋮ Partial cheap control of the time-invariant regulator ⋮ Regularization of cheap periodic control problems ⋮ Temporal and differential stabilizability and detectability of piecewise constant rank systems

Cites Work

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• Perturbations singulières dans les problèmes aux limites et en contrôle optimal
• On the matrix Riccati equation
• Generalizations of singular optimal control theory
• Minimal order observers and certain singular problems of optimal estimation and control
• Nonlinear regulator theory and an inverse optimal control problem
• Optimal open- and closed-loop control of singularly peturbed linear systems
• Properties of solutions of ordinary differential equations with small parameters
• A contribution to matrix quadratic equations

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