Error bound for non-zero initial condition using the singular perturbation approximation method

DOI10.3390/math6110232zbMath1405.93158OpenAlexW2898879928MaRDI QIDQ1634688

Adnan Daraghmeh, Naji A. Qatanani

Publication date: 18 December 2018

Published in: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/math6110232

zbMATH Keywords

error boundsingular perturbation approximationreciprocal systemnonhomogeneous system

Mathematics Subject Classification ID

(H^infty)-control (93B36) Linear systems in control theory (93C05) Time-scale analysis and singular perturbations in control/observation systems (93C70) System structure simplification (93B11)

Related Items (1)

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Cites Work

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• Balanced Averaging of Bilinear Systems with Applications to Stochastic Control
• Singular perturbation approximation of bounded real balanced and stochastically balanced transfer matrices
• Singular perturbation approximation of balanced systems
• Correctors for the homogenization of Hamilton-Jacobi equations in the stationary ergodic setting
• Viscosity Solutions Methods for Singular Perturbations in Deterministic and Stochastic Control
• The perturbed test function method for viscosity solutions of nonlinear PDE
• The Singularly Perturbed Linear State Regulator Problem
• Approximation of Large-Scale Dynamical Systems

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