Paper Info
Title
Minimum Time for a hybrid system with thermostatic switchings
Abstract
In this paper we study a minimum time problem for a hybrid system subject to thermostatic switchings. We apply the Dynamic Programming method and the viscosity solution theory of Hamilton-Jacobi equations. We regard the problem as a suitable coupling of two minimum-time/exit-time problems. Under some controllability conditions, we prove that the minimum time function is the unique bounded below continuous function which solves a system of two Hamilton-Jacobi equations coupled via the boundary conditions.
Year
DOI
Venue
2007
10.1007/978-3-540-71493-4_6
HSCC
Keywords
Field
DocType
suitable coupling,controllability condition,exit-time problem,minimum time function,dynamic programming method,continuous function,boundary condition,hamilton-jacobi equation,minimum time,hybrid system subject,thermostatic switchings,minimum time problem,viscosity solution,hybrid system
Dynamic programming,Continuous function,Boundary value problem,Coupling,Controllability,Control theory,Viscosity solution,Hybrid system,Mathematics,Bounded function
Conference
Volume
ISSN
Citations 
4416
0302-9743
0
PageRank 
References 
Authors
0.34
4
1
Name
Order
Citations
PageRank
Fabio Bagagiolo1313.88