Regularity and singularity in linear-quadratic control subject to implicit continuous-time systems
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Publication:1325692
DOI10.1007/BF01183839zbMath0809.93030MaRDI QIDQ1325692
Publication date: 30 March 1995
Published in: Circuits, Systems, and Signal Processing (Search for Journal in Brave)
Multivariable systems, multidimensional control systems (93C35) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30) Model systems in control theory (93C99)
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Invariant subspaces and invertibility properties for singular systems: The general case ⋮ 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 ⋮ Impulsive-smooth behavior in multimode systems. II: Minimality and equivalence ⋮ The (multi-player) linear quadratic state feedback control problem for index one descriptor systems ⋮ Closed form solution for the equations of motion for constrained linear mechanical systems and generalizations: an algebraic approach ⋮ Solution Concepts for Linear DAEs: A Survey ⋮ Unnamed Item ⋮ The Kalman-Yakubovich-Popov inequality for differential-algebraic systems ⋮ Discounted cost linear quadratic Gaussian control for descriptor systems
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