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AUTOMATICA
2004
91views more  AUTOMATICA 2004»
15 years 4 months ago
Comparing digital implementation via the bilinear and step-invariant transformations
From an analog system K, digital systems Kd and Kbt are often obtained via the step-invariant and bilinear transformations, respectively. For the case when K is stable, it is show...
Guofeng Zhang, Tongwen Chen
AUTOMATICA
2002
95views more  AUTOMATICA 2002»
15 years 4 months ago
Series expansions for analytic systems linear in control
This paper presents a series expansion for the evolution of a class of nonlinear systems characterized by constant input vector fields. We present a series expansion that can be c...
Francesco Bullo
COMBINATORICS
2000
82views more  COMBINATORICS 2000»
15 years 4 months ago
When Structures Are Almost Surely Connected
Let An denote the number of objects of some type of "size" n, and let Cn denote the number of these objects which are connected. It is often the case that there is a rel...
Jason P. Bell
MOC
2002
101views more  MOC 2002»
15 years 4 months ago
On the stability of a family of finite element methods for hyperbolic problems
We consider a family of tensor product finite element methods for hyperbolic equations in RN , N 2, which are explicit and generate a continuous approximate solution. The base cas...
Gerard R. Richter
MOC
1998
115views more  MOC 1998»
15 years 4 months ago
Analysis and modificaton of Newton's method for algebraic Riccati equations
When Newton’s method is applied to find the maximal symmetric solution of an algebraic Riccati equation, convergence can be guaranteed under moderate conditions. In particular, ...
Chun-Hua Guo, Peter Lancaster