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The classification of modular Lie superalgebras of type M

100%

Ma L., Chen L.

Open Mathematics

2015

tom 13

nr 1

The natural filtration of the infinite-dimensional simple modular Lie superalgebra M over a field of characteristic p > 2 is proved to be invariant under automorphisms by discussing ad-nilpotent elements. Moreover, an intrinsic property is obtained and all the infinite-dimensional simple modular Lie superalgebras M are classified up to isomorphisms. As an application, a property of automorphisms of M is given.

Range identification for a perspective dynamic system with a single homogeneous observation

81%

Ma L., Chen Y., Moore K.

International Journal of Applied Mathematics and Computer Science

2005

tom 15

nr 1

63-72

Perspective problems arise in machine vision when using a camera to observe the scene. Essential problems include the identification of unknown states and/or unknown parameters from perspective observations. Range identification is used to estimate the states/positions of a moving object with known motion parameters. Range estimation has been discussed in the literature using nonlinear observers with full homogeneous observations derived from the image plane. In this paper, the same range identification problem is discussed with a single homogeneous observation using nonlinear observers. Our simulation results verify the convergence of the observers when their observability conditions are satisfied. sm

Ograniczanie wyników

1 International Journal of Applied Mathematics and Computer Science

1 Open Mathematics

2 Ma L.

1 Chen L.

1 Chen Y.

1 Moore K.

1 2015

1 2005

Wyniki wyszukiwania

The classification of modular Lie superalgebras of type M

Range identification for a perspective dynamic system with a single homogeneous observation