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CDC
2009
IEEE
124views Control Systems» more  CDC 2009»
14 years 12 days ago
Lyapunov stability analysis of higher-order 2-D systems
— We give necessary and sufficient conditions, based on the existence of a Lyapunov functional, for the asymptotic stability of a square autonomous 2-D behavior in the sense of ...
Chiaki Kojima, Paolo Rapisarda, Kiyotsugu Takaba
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
CDC
2008
IEEE
236views Control Systems» more  CDC 2008»
14 years 2 months ago
Non-monotonic Lyapunov functions for stability of discrete time nonlinear and switched systems
Abstract— We relax the monotonicity requirement of Lyapunov’s theorem to enlarge the class of functions that can provide certificates of stability. To this end, we propose two...
Amir Ali Ahmadi, Pablo A. Parrilo
CDC
2008
IEEE
102views Control Systems» more  CDC 2008»
14 years 2 months ago
Global uniform asymptotic Lyapunov stabilization of a vectorial chained-form system with a smooth time-varying control law
— This work presents two continuous time-varying control laws that globally uniformly asymptotically stabilize the origin of a vectorial generalization of the basic chainedform s...
Christian Holden, Kristin Ytterstad Pettersen
ISCAS
2005
IEEE
179views Hardware» more  ISCAS 2005»
14 years 1 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