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ISSAC
2005
Springer
77views Mathematics» more  ISSAC 2005»
15 years 3 months ago
Picard--Vessiot extensions for linear functional systems
Picard-Vessiot extensions for ordinary differential and difference equations are well known and are at the core of the associated Galois theories. In this paper, we construct fu...
Manuel Bronstein, Ziming Li, Min Wu
85
Voted
AUTOMATICA
2005
136views more  AUTOMATICA 2005»
14 years 9 months ago
Conjugate Lyapunov functions for saturated linear systems
Based on a recent duality theory for linear differential inclusions (LDIs), the condition for stability of an LDI in terms of one Lyapunov function can be easily derived from that...
Tingshu Hu, Rafal Goebel, Andrew R. Teel, Zongli L...
76
Voted
ISCAS
2005
IEEE
179views Hardware» more  ISCAS 2005»
15 years 3 months ago
Robust stabilization of control systems using piecewise linear Lyapunov functions and evolutionary algorithm
— Piecewise linear Lyapunov functions are used to design control gain matrices so that closed systems are robust stable and attractive regions are expanded as large as possible i...
K. Tagawa, Y. Ohta
CORR
2010
Springer
153views Education» more  CORR 2010»
14 years 9 months ago
The Automatic Synthesis of Linear Ranking Functions: The Complete Unabridged Version
The classical technique for proving termination of a generic sequential computer program involves the synthesis of a ranking function for each loop of the program. Linear ranking ...
Roberto Bagnara, Fred Mesnard, Andrea Pescetti, En...
SCP
1998
113views more  SCP 1998»
14 years 9 months ago
Linear-Time Hierarchies for a Functional Language Machine Model
In STOC 93, Jones sketched the existence of a hierarchy within problems decidable in linear time by a first-order functional language based on tree-structured data (F), as well a...
Eva Rose