Title
Building systems from simple hyperbolic ones.
Abstract
In this article we introduce a technique that derives from the existence and uniqueness of solutions to a simple hyperbolic partial differential equation (p.d.e.) the existence and uniqueness of solutions to hyperbolic and parabolic p.d.e.’s. Among others, we show that starting with an impedance passive system associated to the undamped wave equation, we can obtain an impedance passive system associated to the heat conduction equation.
Year
DOI
Venue
2016
10.1016/j.sysconle.2016.02.002
Systems & Control Letters
Keywords
Field
DocType
Infinite-dimensional systems theory,Partial differential equation,Impedance passive
Parabolic partial differential equation,Differential equation,Mathematical optimization,Mathematical analysis,First-order partial differential equation,FTCS scheme,Heat equation,Elliptic partial differential equation,Partial differential equation,Mathematics,Hyperbolic partial differential equation
Journal
Volume
ISSN
Citations 
91
0167-6911
1
PageRank 
References 
Authors
0.36
3
3
Name
Order
Citations
PageRank
Hans Zwart15310.37
Yann Le Gorrec24311.22
Bernhard Maschke351883.42