Optimal synthesis for infinite-dimensional linear delayed state-output systems: A semicausality approach

DOI10.1007/BF01448195zbMath0674.49025OpenAlexW2005560478MaRDI QIDQ1121519

E. Bruce Lee, Yun-Cheng You

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1007/bf01448195

zbMATH Keywords

Fredholm integral equationlinear feedbackoptimal control synthesisdelayed dynamical systemsinitial data feedbackreal-time state feedbackretarded state integral feedbacksemicausal trajectory

Mathematics Subject Classification ID

Dynamic programming in optimal control and differential games (49L20) Synthesis problems (93B50) Optimality conditions (49K99)

Related Items (2)

The standard regulator problem for systems with input delays. An approach through singular control theory ⋮ Quadratic integral games and causal synthesis

Cites Work

• Optimal control problems with hybrid quadratic criteria
• F-reduction of the operator Riccati equation for hereditary differential systems
• On the equivalence between matrix Riccati equations and Fredholm resolvents
• Quadratic Optimization for Infinite-Dimensional Linear Differential Difference Type Systems: Syntheses via the Fredholm Equation
• The Linear-Quadratic Optimal Control Problem with Delays in State and Control Variables: A State Space Approach
• A Stability Theory for the Linear-Quadratic-Gaussian Problem for Systems with Delays in the State, Control, and Observations
• Generalized quadratic optimal controllers for linear hereditary systems
• The Linear Quadratic Control Problem for Infinite Dimensional Systems with Unbounded Input and Output Operators
• Controllability, Observability and Optimal Feedback Control of Affine Hereditary Differential Systems
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