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AUTOMATICA
2006
76views more  AUTOMATICA 2006»
13 years 7 months ago
Nonlinear robust performance analysis using complex-step gradient approximation
In this paper, the complex-step method is applied in the setting of numerical optimisation problems involving dynamical systems modelled as nonlinear differential equations. The m...
Jongrae Kim, Declan G. Bates, Ian Postlethwaite
HYBRID
2009
Springer
14 years 2 months ago
Parameter Synthesis for Hybrid Systems with an Application to Simulink Models
Abstract. This paper addresses a parameter synthesis problem for nonlinear hybrid systems. Considering a set of uncertain parameters and a safety property, we give an algorithm tha...
Alexandre Donzé, Bruce H. Krogh, Akshay Raj...
ASC
2007
13 years 7 months ago
An approximate stability analysis of nonlinear systems described by Universal Learning Networks
Stability is one of the most important subjects in control systems. As for the stability of nonlinear dynamical systems, Lyapunov’s direct method and linearized stability analys...
Kotaro Hirasawa, Shingo Mabu, Shinji Eto, Jinglu H...
DEDS
2008
94views more  DEDS 2008»
13 years 7 months ago
Approximate Simulation Relations for Hybrid Systems
Abstract Approximate simulation relations have recently been introduced as a powerful tool for the approximation of discrete and continuous systems. In this paper, we his abstracti...
Antoine Girard, A. Agung Julius, George J. Pappas
MCS
2008
Springer
13 years 7 months ago
On the stability analysis of nonlinear systems using polynomial Lyapunov functions
In the stability study of nonlinear systems, not to found feasible solution for the LMI problem associated with a quadratic Lyapunov function shows that it doesn't exist posi...
Hajer Bouzaouache, Naceur Benhadj Braiek