How Floquet theory applies to index-1 differential algebraic equations

DOI10.1006/jmaa.1997.5714zbMath0903.34002OpenAlexW2092956656MaRDI QIDQ1378630

Roswitha März, René Lamour, Renate Winkler

Publication date: 10 December 1998

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5714

zbMATH Keywords

monodromy matrixdifferential algebraic equationsFloquet theorystability of periodic solutionsJFM 15.0279.01

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Implicit ordinary differential equations, differential-algebraic equations (34A09)

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Stability of periodic solutions of index-2 differential algebraic systems, Numerical stability analysis of oscillating integrated circuits, Asymptotic solutions of singularly perturbed differential algebraic equations with turning points, On the spectral theory of linear differential-algebraic equations with periodic coefficients, A unified Floquet theory for discrete, continuous, and hybrid periodic linear systems, The continuous dependence of solutions to algebraic differential systems on the initial data, Bohl exponent for time-varying linear differential-algebraic equations, On data-dependence of exponential stability and stability radii for linear time-varying differential-algebraic systems, Continuation method for computing certain singular points for index-1 differential algebraic equations, Floquet theorem for linear implicit nonautonomous difference systems, Linear differential-algebraic equations with properly stated leading term:A-critical points, Boundary-Value Problems for Differential-Algebraic Equations: A Survey, Criteria for the trivial solution of differential algebraic equations with small nonlinearities to be asymptotically stable, PERIODIC SOLUTIONS OF DIFFERENTIAL ALGEBRAIC EQUATIONS WITH TIME DELAYS: COMPUTATION AND STABILITY ANALYSIS, The Differential Transform Method for the Numerical Treatment of Differential-Algebraic Equations with Index 2, On stability of time-varying linear differential-algebraic equations

Cites Work

• On the stability of solutions of autonomous index-1 tractable and quasilinear index-2 tractable DAEs
• Periodic motions
• Practical bifurcation and stability analysis: from equilibrium to chaos.
• On the stability behaviour of systems obtained by index-reduction
• On linear differential-algebraic equations and linearizations
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