Concepedia

Stability of singularly perturbed systems and networks with parasitics

R. Wilde, P.V. Kokotović

IEEE Transactions on Automatic Control · 1972 · 42 citations · 7 references

DOI

Concepts

Abstract

It is noted that some recent stability results for singular perturbation problems are special cases of earlier theorems by Klimushev and Krasovskii. A simplified proof of one of these theorems is given.

References

7

Control System Analysis and Design Via the “Second Method” of Lyapunov: I—Continuous-Time Systems

R. E. Kalman, John E. A. Bertram · Journal of Basic Engineering · 1960 · 782 citations

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Uniform asymptotic stability of systems of differential equations with a small parameter in the derivative terms

A.I. Klimushchev, N. N. Krasovskiĭ · Journal of Applied Mathematics and Mechanics · 1961 · 122 citations

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Topics in singular perturbations

Robert E. O’Malley · Advances in Mathematics · 1968 · 101 citations

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Asymptotic stability in singular perturbation problems

Frank C. Hoppensteadt · Journal of Differential Equations · 1968 · 69 citations

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Networks with very small and very large parasitics: Natural frequencies and stability

C. Desoer, M. Shensa · Proceedings of the IEEE · 1970 · 53 citations

, , +13