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CDC
2009
IEEE
176views Control Systems» more  CDC 2009»
13 years 8 months ago
A characterization of solution sets of LTI differential equations
Abstract— We prove that a controllable set of smooth trajectories is the solution set of a constant coefficient linear differential equation if and only if it is linear, time in...
Jean-Charles Delvenne, Tzvetan Ivanov
DM
2000
127views more  DM 2000»
13 years 4 months ago
Special formal series solutions of linear operator equations
The transformation which assigns to a linear operator L the recurrence satisfied by coefficient sequences of the polynomial series in its kernel, is shown to be an isomorphism of ...
Sergei A. Abramov, Marko Petkovsek, Anna A. Ryaben...
WLP
2004
Springer
13 years 10 months ago
Solving Alternating Boolean Equation Systems in Answer Set Programming
Abstract. In this paper we apply answer set programming to solve alternating Boolean equation systems. We develop a novel characterization of solutions for variables in disjunctive...
Misa Keinänen, Ilkka Niemelä
APPML
2010
88views more  APPML 2010»
13 years 4 months ago
Evolution of weak discontinuities in shallow water equations
In this paper, we determine the critical time, when a weak discontinuity in the shallow water equations culminates into a bore. Invariance group properties of the governing system...
T. Raja Sekhar, V. D. Sharma
SIAMCO
2011
12 years 11 months ago
Nonlinear Black-Scholes Equations in Finance: Associated Control Problems and Properties of Solutions
We study properties of solutions to fully nonlinear versions of the standard Black– Scholes partial differential equation. These equations have been introduced in financial mat...
Rüdiger Frey, Ulrike Polte