Successive approximation procedure for steady-state optimal control of bilinear systems

DOI10.1007/BF02192115zbMath0827.49020MaRDI QIDQ1893308

Zoran Gajic, Zijad Aganovic

Publication date: 3 July 1995

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

Hamilton-Jacobi-Bellman equationnonlinear optimal controlbilinear systemmethod of successive approximationsquadratic cost functionalsalgebraic Lyapunov equationsoptimum regulationpenalizing functions

Mathematics Subject Classification ID

Dynamic programming in optimal control and differential games (49L20) Linear-quadratic optimal control problems (49N10)

Related Items (8)

Stochastic affine quadratic regulator with applications to tracking control of quantum systems ⋮ A root locus approach to near-controllability of a class of discrete-time bilinear systems with applications to Hermitian matrices ⋮ Optimal control for a new class of singularly perturbed linear systems ⋮ Transverse function method in stabilization problems for bilinear systems ⋮ Robust fuzzy control of a class of fuzzy bilinear systems with time-delay ⋮ Inverse optimal sliding mode control of spacecraft with coupled translation and attitude dynamics ⋮ Saddle-Point Equilibrium of Bilinear Itô Stochastic Differential Games ⋮ On \(H_2\) model reduction of bilinear systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An iterative method for the finite-time bilinear-quadratic control problem
• Extensions of linear-quadratic control theory
• The Riccati equation
• Iterative techniques for Riccati game equations
• Bilinear control processes. With applications to engineering, ecology, and medicine
• Optimal control of weakly coupled bilinear systems
• Optimal stabilizing controllers for bilinear systems
• Bilinear systems: An appealing class of "nearly linear" systems in theory and applications
• Construction of Suboptimal Control Sequences
• Natural Bilinear Control Processes
• Monotone Approximation in Dynamic Programming and the Calculus of Variations

This page was built for publication: Successive approximation procedure for steady-state optimal control of bilinear systems