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» Control Lyapunov Functions and Zubov's Method
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TROB
2002
151views more  TROB 2002»
13 years 5 months ago
A control Lyapunov function approach to multiagent coordination
In this paper, the multiagent coordination problem is studied. This problem is addressed for a class of robots for which control Lyapunov functions can be found. The main result is...
Petter Ögren, Magnus Egerstedt, Xiaoming Hu
CDC
2009
IEEE
139views Control Systems» more  CDC 2009»
13 years 10 months 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
CDC
2010
IEEE
145views Control Systems» more  CDC 2010»
13 years 1 months ago
Construction of Lyapunov functions for piecewise-deterministic Markov processes
The purpose of this contribution is twofold: 1) to present for the first time a Lyapunov function that proves exponential ergodicity of a process studied by the authors in [1], whe...
Alexandre R. Mesquita, João Pedro Hespanha
ISCAS
2005
IEEE
179views Hardware» more  ISCAS 2005»
13 years 11 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
CDC
2008
IEEE
117views Control Systems» more  CDC 2008»
14 years 14 days ago
Simulation-aided reachability and local gain analysis for nonlinear dynamical systems
Abstract— We analyze reachability properties and local input/output gains of systems with polynomial vector fields. Upper bounds for the reachable set and nonlinear system gains...
Weehong Tan, Ufuk Topcu, Peter Seiler, Gary J. Bal...