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Singular perturbations and order reduction in control theory. An overview
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Kokotovic, P.V.1
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Near optimum design of linear systems by a singular perturbation method
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Yackel, R.A.1
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Singular perturbation of linear regulators: Basic theorems
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A boundary layer method for the matrix Riccati equation
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R.A. Yackel and P.V. Kokotovic, “A boundary layer method for the matrix Riccati equation,” IEEE Trans. Automat. Contr., vol. AC-18, pp. 17–24, 1973.
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Optimal open- and closed-loop control of singularly-perturbed linear systems
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R.R. Wilde and P.V. Kokotovic, “Optimal open- and closed-loop control of singularly-perturbed linear systems,” IEEE Trans. Automat. Contr., vol. AC-18, pp. 616–25, 1973.
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A decomposition of near-optimum regulators for systems with slow and fast modes
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Chow, J.H.1
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Linear filtering of singularly perturbed systems
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A. Haddad, “Linear filtering of singularly perturbed systems,” IEEE Trans. Automat. Contr., vol. AC-21, pp. 515–19, 1976.
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A. Haddad and P. Kokotovic, “Stochastic control of linear singularly perturbed systems,” IEEE Trans. Automat. Contr., vol. AC-22, pp. 815–21, 1977.
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Linear regulator design for stochastic systems by multiple time-scale method
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D. Teneketzis and N. Sandell, “Linear regulator design for stochastic systems by multiple time-scale method,” IEEE Trans. Automat. Contr., vol. AC-22, pp. 615–21, 1977.
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Stability of singularly perturbed systems and networks with parasitics
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R.R. Wilde and P.V. Kokotovic, “Stability of singularly perturbed systems and networks with parasitics,” IEEE Trans. Automat. Contr., vol. AC-17, pp. 245–46, 1972.
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Properties of ordinary differential equations with small parameters
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College of Eng., Michigan State Univ., East Lansing, MI, Res. Rep., Dec.
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A Riccati equation for block-diagonalization of ill-conditioned systems
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An approximation theorem for linear optimal regulators
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P.V. Kokotovic and J.B. Cruz, Jr., “An approximation theorem for linear optimal regulators,” J. Math. Anal. Appl, vol. 27, pp. 249–52, 1969.
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Dynamical feedback control of singularly perturbed linear systems using a full-order observer
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