On analysis of discrete singularly perturbed non-linear systems: Application to the study of stability properties

Singular perturbations and order reduction in control theory — An overview

P.V. Kokotović, Robert E. O’Malley, Peddapullaiah Sannuti · Automatica · 1976 · 940 citations · Full text

Natural Sciences, Mathematics, Systems Engineering +16

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

R. E. Kalman, John E. A. Bertram · Journal of Basic Engineering · 1960 · 337 citations

Natural Sciences, Mathematics, Systems Engineering +17

Quadratic-type Lyapunov functions for singularly perturbed systems

Ali Saberi, Hassan K. Khalil · IEEE Transactions on Automatic Control · 1984 · 267 citations

Natural Sciences, Mathematics, Systems Engineering +17

On the stability bounds of singularly perturbed systems

Bor‐Sen Chen, Chun-Liang Lin · IEEE Transactions on Automatic Control · 1990 · 100 citations

Engineering, Systems Engineering, Dynamical Systems +12

Global inverse function theorem

F. Wu, C. Desoer · IEEE Transactions on Circuit Theory · 1972 · 79 citations

Natural Sciences, Mathematics, Topology +3