The role of the dissipation matrix in singular optimal control

DOI10.1016/S0167-6911(83)80002-4zbMath0521.93017OpenAlexW2110484439MaRDI QIDQ1055733

Johannes M. Schumacher

Publication date: 1983

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-6911(83)80002-4

zbMATH Keywords

spectral factorizationalgebraic Riccati equationdissipation inequalityrank minimizationsingular optimal controlright invertibility

Mathematics Subject Classification ID

Factorization of matrices (15A23) Linear systems in control theory (93C05) Matrix equations and identities (15A24) Transformations (93B17) Eigenvalues, singular values, and eigenvectors (15A18) Algebraic methods (93B25) Existence theories for optimal control problems involving ordinary differential equations (49J15) Control/observation systems governed by ordinary differential equations (93C15) Vector spaces, linear dependence, rank, lineability (15A03) Model systems in control theory (93C99)

Related Items

Linear-quadratic control with and without stability subject to general implicit continuous-time systems: Coordinate-free interpretations of the optimal costs in terms of dissipation inequality and linear matrix inequality; existence and uniqueness of optimal controls and state trajectories, All optimal controls for the singular linear-quadratic problem without stability; a new interpretation of the optimal cost, The discrete algebraic Riccati equation and linear matrix inequality, Solvability conditions and design for state synchronization of multi-agent systems, Optimal Singular LQR Problem: A PD Feedback Solution, The Regular Indefinite Linear Quadratic Optimal Control Problem: Stabilizable Case, The singular \(H_ 2\) control problem, Unnamed Item, Continuity properties of the cheap-control problem without stability

Cites Work

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