Integral equivalence between a nonlinear system and its nonlinear perturbation
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Integral Equivalence of Two Systems of Differential Equations
Jarosław Morchało (1985)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
Si studia l'equivalenza asintotica fra le soluzioni di un sistema lineare e quelle di una perturbazione non lineare. Vengono date condizioni sufficienti per l'esistenza di un omeomorfìsmo fra le soluzioni limitate di tali sistemi.
Integral equivalence of two systems of differential equations
Alexander Haščák, Marko Švec (1982)
Czechoslovak Mathematical Journal
Integraltransformationen zu singulären S-Hermiteschen Rand-Eigenwertproblemen.
H.-D. Niessen, A. Schneider (1971)
Manuscripta mathematica
Invariant manifolds and the concept of asymptotic phase
Bernd Aulbach, Dietrich Flockerzi, Hans-Wilhelm Knobloch (1986)
Časopis pro pěstování matematiky
Invariants of kinetic differential equations.
Halmschlager, Andrea, Szenthe, László, Tóth, János (2003)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Inversion in indirect optimal control of multivariable systems
François Chaplais, Nicolas Petit (2008)
ESAIM: Control, Optimisation and Calculus of Variations
This paper presents the role of vector relative degree in the formulation of stationarity conditions of optimal control problems for affine control systems. After translating the dynamics into a normal form, we study the Hamiltonian structure. Stationarity conditions are rewritten with a limited number of variables. The approach is demonstrated on two and three inputs systems, then, we prove a formal result in the general case. A mechanical system example serves as illustration.
Involutions and iterates of central dispersions
Grant B. Gustafson, Miroslav Laitoch (1994)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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