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» Lyapunov functionals and matrices
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SODA
2012
ACM
191views Algorithms» more  SODA 2012»
11 years 9 months ago
Submatrix maximum queries in Monge matrices and Monge partial matrices, and their applications
We describe a data structure for submatrix maximum queries in Monge matrices or Monge partial matrices, where a query specifies a contiguous submatrix of the given matrix, and it...
Haim Kaplan, Shay Mozes, Yahav Nussbaum, Micha Sha...
ICRA
2006
IEEE
95views Robotics» more  ICRA 2006»
14 years 1 months ago
Stability Analysis and Control Law Design for Acrobots
— This paper presents a novel control strategy based on a non-smooth Lyapunov function to guarantee the stability of the system in the whole motion space. Three control laws that...
Xu-Zhi Lai, Jin-Hua She, Simon X. Yang, Min Wu
ACIIDS
2009
IEEE
160views Database» more  ACIIDS 2009»
13 years 5 months ago
Stability Analysis of Time-Delay Fuzzy Systems Using Fuzzy Lyapunov Method
This study presents an H controller design for time-delay Takagi-Sugeno (T-S) fuzzy systems based on the fuzzy Lyapunov method, which is defined in terms of fuzzy blending quadrati...
Ken Yeh, Cheng-Wu Chen, Shu-Hao Lin, Chen-Yuan Che...
CDC
2009
IEEE
139views Control Systems» more  CDC 2009»
14 years 2 days ago
Input-to-state dynamical stability of interconnected systems
Abstract— We consider networks of input-to-state dynamically stable (ISDS) systems and provide a small gain condition under which the entire network is again ISDS. A Lyapunov for...
Sergey Dashkovskiy, Lars Naujok
AUTOMATICA
2008
126views more  AUTOMATICA 2008»
13 years 7 months ago
Local stability analysis using simulations and sum-of-squares programming
The problem of computing bounds on the region-of-attraction for systems with polynomial vector fields is considered. Invariant subsets of the region-of-attraction are characterize...
Ufuk Topcu, Andrew K. Packard, Peter Seiler