The Regular Indefinite Linear Quadratic Optimal Control Problem: Stabilizable Case

DOI10.1137/17M1143137zbMath1381.49034arXiv1905.00509MaRDI QIDQ4605438

Marijan Vukosavljev, Angela P. Schoellig, Mireille E. Broucke

Publication date: 22 February 2018

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

Full work available at URL: https://arxiv.org/abs/1905.00509

zbMATH Keywords

stabilizabilitylinear quadratic optimal controlindefinite cost functionalstability-modulo-a-subspace

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Multivariable systems, multidimensional control systems (93C35) Linear-quadratic optimal control problems (49N10)

Related Items (5)

Indefinite linear quadratic optimal control for continuous-time rectangular descriptor Markov jump systems: infinite-time case ⋮ Linear-Quadratic Optimal Control of Differential-Algebraic Systems: The Infinite Time Horizon Problem with Zero Terminal State ⋮ Stabilizability of Game-Based Control Systems ⋮ Indefinite abstract splines with a quadratic constraint ⋮ Min-max robust control in LQ-differential games

Cites Work

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• The solution set of the algebraic Riccati equation and the algebraic Riccati inequality
• The regular convex cooperative linear quadratic control problem
• Revisit of linear-quadratic optimal control
• The role of the dissipation matrix in singular optimal control
• A necessary and sufficient condition for solvability of the linear- quadratic control problem without stability
• The time-invariant linear-quadratic optimal control problem
• The regular indefinite linear-quadratic problem with linear endpoint contraints
• Singular Optimal Control: A Geometric Approach
• On Hermitian Solutions of the Symmetric Algebraic Riccati Equation
• The Regular Free-Endpoint Linear Quadratic Problem with Indefinite Cost
• On a Matrix Riccati Equation of Stochastic Control
• A contribution to matrix quadratic equations
• Conditions for Positive and Nonnegative Definiteness in Terms of Pseudoinverses
• Control theory for linear systems

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