Singular perturbation of strictly positive realness
Systems & Control Letters
Nonlinear systems analysis (2nd ed.)
Nonlinear systems analysis (2nd ed.)
New stability/performance results for singularly perturbed systems
Automatica (Journal of IFAC)
Singular Perturbation Methods in Control: Analysis and Design
Singular Perturbation Methods in Control: Analysis and Design
Singular perturbations and order reduction in control theory - An overview
Automatica (Journal of IFAC)
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The Klimushchev-Krasovskii theorem describes a sufficient condition for the asymptotic stability of singularly perturbed systems. Motivated by some subtle examples, this note presents a new necessary and sufficient condition by imposing an additional assumption on the statement of the Klimushchev-Krasovskii theorem. This note also extends the main inertia theorem to singularly perturbed systems.