Tracking nonperiodic trajectories with the overtaking criterion

DOI10.1007/BF01442233zbMath0609.49003MaRDI QIDQ1086826

Arie Leizarowitz

Publication date: 1986

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

zbMATH Keywords

trackingtime-invariantovertaking criterionlinear feedback law

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Control problems involving ordinary differential equations (34H05) Existence theories for optimal control problems involving ordinary differential equations (49J15)

Related Items (19)

Solving infinite-horizon optimal control problems of the time-delayed systems by Haar wavelet collocation method ⋮ Turnpike results for discrete-time optimal control systems arising in economic dynamics ⋮ The limiting behavior of the value-function for variational problems arising in continuum mechanics ⋮ Discrete Time Optimal Control Problems on Large Intervals ⋮ On overtaking optimal tracking for linear systems ⋮ Existence and structure of solutions for a class of optimal control systems with discounting arising in economic dynamics ⋮ Turnpike properties of approximate solutions for discrete-time control systems ⋮ Two turnpike results for a discrete-time optimal control systems ⋮ One-dimensional infinite horizon nonconcave optimal control problems arising in economic dynamics ⋮ Structure of solutions of discrete time optimal control problems in the regions close to the endpoints ⋮ Structure of approximate solutions of discrete time optimal control Bolza problems on large intervals ⋮ Optimal solutions for a class of infinite horizon variational problems with extended-valued integrands ⋮ Existence of solutions for a class of nonconcave infinite horizon optimal control problems ⋮ On a class of infinite horizon optimal control problems ⋮ Convergence of solutions of optimal control problems with discounting on large intervals in the regions close to the endpoints ⋮ Stability of a turnpike phenomenon for a discrete-time optimal control system ⋮ Structure of approximate solutions for discrete-time control systems arising in economic dynamics ⋮ Turnpike results for a class of discrete-time optimal control problems arising in economic dynamics ⋮ Structure of solutions of variational problems with extended-valued integrands in the regions close to the endpoints

Cites Work

• Tracking periodic signals with the overtaking criterion
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