In mathematics, a Lagrangian system is a pair (Y, L), consisting of a smooth fiber bundle Y → X and a Lagrangian density L, which yields the Euler… (More)

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2009

2009

- Laurent O. Jay
- 2009

Lagrangian systems with ideal nonholonomic constraints can be expressed as implicit index 2 differential-algebraic equations… (More)

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2008

2008

- Chaofeng Zhu
- 2008

In this paper, we prove a Morse index theorem for the index form of regular Lagrangian system with selfadjoint boundary condition… (More)

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Highly Cited

2006

Highly Cited

2006

Part I of this paper introduced the notion of implicit Lagrangian systems and their geometric structure was explored in the… (More)

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2006

2006

This paper develops the notion of implicit Lagrangian systems and presents some of their basic properties in the context of Dirac… (More)

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2004

2004

- Dong Eui Chang, Jerrold E. Marsden
- SIAM J. Control and Optimization
- 2004

We develop reduction theory for controlled Lagrangian and controlled Hamiltonian systems with symmetry. Reduction theory for… (More)

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2003

2003

We study the existence of closed characteristics on three-dimensional energy manifolds of second-order Lagrangian systems. These… (More)

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2001

2001

- Youngjin Choi, Wan Kyun Chung, Il Hong Suh
- IEEE Trans. Robotics and Automation
- 2001

This paper suggests an inverse optimal proportional–integral–derivative (PID) control design method to track trajectories in… (More)

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2001

2001

- Van Den Berg
- 2001

We consider a special class of Lagrangians that play a fundamental role in the theory of second order Lagrangian systems: Twist… (More)

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2000

2000

- Matthias Kunze
- 2000

In data communication systems like transoceanic transmission along a fiber cable, there is increasing demand to achieve… (More)

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Review

1996

Review

1996

- Christophe Golé
- 1996

This paper gives two results that show that the dynamics of a timeperiodic Lagrangian system on a hyperbolic manifold are at… (More)

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