Decoupling Order Reduction via the Riccati Transformation

DOI10.1137/1029003zbMath0656.34028OpenAlexW1983844888MaRDI QIDQ3803455

Donald R. Smith

Publication date: 1987

Published in: SIAM Review (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/1029003

zbMATH Keywords

two-point boundary value problemasymptotic integrationRiccati transformationoptimal control theorysingular perturbation problemslinear-quadratic optimal regulatorLiouville approximations

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Existence theories for optimal control problems involving ordinary differential equations (49J15) Singular perturbations for ordinary differential equations (34E15)

Related Items (10)

Unified canonical forms for matrices over a differential ring ⋮ Decoupling of recessive and nonrecessive solutions for a second-order system ⋮ A Green function approach for a singularly perturbed vector boundary- value problem ⋮ SOME ANALYTIC CALCULATIONS OF THE CHARACTERISTIC EXPONENTS ⋮ A Novel Approach to Exact Slow-Fast Decomposition of Linear Singularly Perturbed Systems with Small Delays ⋮ Singularly perturbed linear boundary value problems ⋮ The Dirichlet problem for a quasilinear singularly perturbed second order system ⋮ Exact slow-fast decomposition of the singularly perturbed matrix differential Riccati equation ⋮ Time-suboptimal control design of singularly perturbed systems by reduced order feedback design ⋮ THE NONLINEAR SUPERPOSITION PRINCIPLE AND THE WEI-NORMAN METHOD

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