scholarly journals Combinatorial Modifications of Reeb Graphs and the Realization Problem

2021 ◽  
Author(s):  
Łukasz Patryk Michalak
Keyword(s):  
Realization Problem ◽  
Reeb Graphs

scholarly journals Reeb graphs for shape analysis and applications

2008 ◽  
Vol 392 (1-3) ◽  
pp. 5-22 ◽  
Author(s):  
S. Biasotti ◽  
D. Giorgi ◽  
M. Spagnuolo ◽  
B. Falcidieno
Keyword(s):  
Shape Analysis ◽  
Reeb Graphs

scholarly journals Stability of Reeb Graphs of Closed Curves

2012 ◽  
Vol 283 ◽  
pp. 71-76
Author(s):  
Barbara Di Fabio ◽  
Claudia Landi
Keyword(s):  
Closed Curves ◽  
Reeb Graphs

scholarly journals A framework for the solution of the generalized realization problem

2007 ◽  
Vol 425 (2-3) ◽  
pp. 634-662 ◽  
Author(s):  
A.J. Mayo ◽  
A.C. Antoulas
Keyword(s):  
Realization Problem

scholarly journals Positive Partial Realization Problem for Linear Discrete-Time Systems

2007 ◽  
Vol 17 (2) ◽  
pp. 165-171 ◽  
Author(s):  
Tadeusz Kaczorek
Keyword(s):  
Impulse Response ◽  
Discrete Time ◽  
Sufficient Conditions ◽  
Finite Sequence ◽  
Realization Problem ◽  
Numerical Examples ◽  
Discrete Time Systems ◽  
Time Systems

Positive Partial Realization Problem for Linear Discrete-Time SystemsA partial realization problem for positive linear discrete-time systems is addressed. Sufficient conditions for the existence of its solution are established. A procedure for the computation of a positive partial realization for a given finite sequence of the values of the impulse response is proposed. The procedure is illustrated by four numerical examples.

scholarly journals Computation of positive realization of MIMO hybrid linear systems in the form of second Fornasini-Marchesini model

2010 ◽  
Vol 20 (3) ◽  
pp. 267-285 ◽  
Author(s):  
Tadeusz Kaczorek ◽  
Łukasz Sajewski
Keyword(s):  
Linear Systems ◽  
Hybrid Systems ◽  
Transfer Matrix ◽  
Sufficient Conditions ◽  
The State ◽  
Realization Problem ◽  
Numerical Example ◽  
State Variable

Computation of positive realization of MIMO hybrid linear systems in the form of second Fornasini-Marchesini modelThe realization problem for positive multi-input and multi-output (MIMO) linear hybrid systems with the form of second Fornasini-Marchesini model is formulated and a method based on the state variable diagram for finding a positive realization of a given proper transfer matrix is proposed. Sufficient conditions for the existence of the positive realization of a given proper transfer matrix are established. A procedure for computation of a positive realization is proposed and illustrated by a numerical example.

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