IEEE Transactions on Automatic Control · 1979 · 18 citations · 4 references
Natural SciencesMathematicsDynamical SystemsOptimizationControl Of Dynamical SystemsControl SystemsControl TheoryOptimal ControlOptimization TheoryStability TheoryLinear Quadratic RegulatorLyapunov FunctionsLyapunov StabilityLyapunov Stability TheoryQuadratic Cost FunctionsRegulators
A new lower bound on the quadratic cost of linear regulators is derived using some recently established results on norm bounds for the algebraic matrix Riccati and Lyapunov equations. The bound thus obtained is very attractive computationally and is independent of the initial conditions.
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