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Wiesław Marszałek, Zdzisław Trzaska (2002)
International Journal of Applied Mathematics and Computer Science
We analyze a boundary-value problem for linear partial differential algebraic equations, or PDAEs, by using the method of the separation of variables. The analysis is based on the Kronecker-Weierstrass form of the matrix pencil[A,-λ_n B]. A new theorem is proved and two illustrative examples are given.
Moisés Bonilla Estrada, Jean-Jacques Loiseau, Rafael Baquero S. (1997)
Kybernetika
Jin, Wen-Long (2005)
ELA. The Electronic Journal of Linear Algebra [electronic only]
J. Kloch (1978)
Annales Polonici Mathematici
Diederich Hinrichsen, Joyce O'Halloran (1995)
Kybernetika
Emmanuel Trélat (2001)
ESAIM: Control, Optimisation and Calculus of Variations
We describe precisely, under generic conditions, the contact of the accessibility set at time with an abnormal direction, first for a single-input affine control system with constraint on the control, and then as an application for a sub-riemannian system of rank 2. As a consequence we obtain in sub-riemannian geometry a new splitting-up of the sphere near an abnormal minimizer into two sectors, bordered by the first Pontryagin’s cone along , called the -sector and the -sector. Moreover we...
Emmanuel Trélat (2010)
ESAIM: Control, Optimisation and Calculus of Variations
We describe precisely, under generic conditions, the contact of the accessibility set at time T with an abnormal direction, first for a single-input affine control system with constraint on the control, and then as an application for a sub-Riemannian system of rank 2. As a consequence we obtain in sub-Riemannian geometry a new splitting-up of the sphere near an abnormal minimizer γ into two sectors, bordered by the first Pontryagin's cone along γ, called the L∞-sector and the L2-sector. Moreover...
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