Abstract

Introduction. Non-linear Differential Equations. Second-Order Systems. Approximate Analysis Methods. Lyapunov Stability. Input-Output Stability. Differential Geometric Methods. Appendices: Prevalence of Differential Equations with Unique Solutions, Proof of the Kalman-Yacubovitch Lemma and Proof of the Frobenius Theorem.

Keywords

Lemma (botany)Nonlinear systemMathematicsDifferential equationLyapunov functionStability (learning theory)Applied mathematicsLinear systemGeometric analysisMathematical analysisComputer scienceDifferential algebraic equationOrdinary differential equation

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Publication Info

Year
1980
Type
article
Volume
10
Issue
8
Pages
537-538
Citations
2033
Access
Closed

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Cite This

M. Vidyasagar, C. Desoer (1980). Nonlinear Systems Analysis. IEEE Transactions on Systems Man and Cybernetics , 10 (8) , 537-538. https://doi.org/10.1109/tsmc.1980.4308549

Identifiers

DOI
10.1109/tsmc.1980.4308549