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HYBRID
2003
Springer
15 years 5 months ago
Reachability Analysis of Nonlinear Systems Using Conservative Approximation
Abstract. In this paper we present an approach to approximate reachability computation for nonlinear continuous systems. Rather than studying a complex nonlinear system ˙x = g(x),...
Eugene Asarin, Thao Dang, Antoine Girard
102
Voted
AUTOMATICA
2005
169views more  AUTOMATICA 2005»
15 years 16 days ago
Analysis of input-to-state stability for discrete time nonlinear systems via dynamic programming
This paper presents novel analysis results for input-to-state stability (ISS) that utilise dynamic programming techniques to characterise minimal ISS gains and transient bounds. Th...
Shoudong Huang, Matthew R. James, Dragan Nesic, Pe...
ICPR
2010
IEEE
14 years 11 months ago
Learning Non-Linear Dynamical Systems by Alignment of Local Linear Models
Abstract—Learning dynamical systems is one of the important problems in many fields. In this paper, we present an algorithm for learning non-linear dynamical systems which works...
Masao Joko, Yoshinobu Kawahara, Takehisa Yairi
103
Voted
MCSS
2002
Springer
15 years 9 days ago
Observability and Forward-Backward Observability of Discrete-Time Nonlinear Systems
In this paper, we study the observability properties of nonlinear discrete time systems. Two types of contributions are given. First, we present observability criteria in terms of...
Francesca Albertini, Domenico D'Alessandro
100
Voted
SCL
2010
98views more  SCL 2010»
14 years 11 months ago
Symbolic models for nonlinear time-delay systems using approximate bisimulations
In this paper we show that incrementally stable nonlinear time–delay systems admit symbolic models which are approximately equivalent, in the sense of approximate bisimulation, ...
Giordano Pola, Pierdomenico Pepe, Maria Domenica D...