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AUTOMATICA
2002
130views more  AUTOMATICA 2002»
13 years 4 months ago
Controllability and reachability criteria for switched linear systems
This paper investigates the controllability and reachability of switched linear control systems. It is proven that both the controllable and reachable sets are subspaces of the to...
Zhendong Sun, Shuzhi Sam Ge, Tong Heng Lee
CDC
2010
IEEE
125views Control Systems» more  CDC 2010»
12 years 12 months ago
Towards robust Lie-algebraic stability conditions for switched linear systems
This paper presents new sufficient conditions for exponential stability of switched linear systems under arbitrary switching, which involve the commutators (Lie brackets) among the...
Andrei A. Agrachev, Yuliy Baryshnikov, Daniel Libe...
AUTOMATICA
2008
94views more  AUTOMATICA 2008»
13 years 5 months ago
Reachability analysis of continuous-time piecewise affine systems
This paper proposes an algorithm for the characterization of reachable sets of states for continuous-time piecewise affine systems. Given a model of the system and a bounded set o...
Abdullah Hamadeh, Jorge Goncalves
CDC
2009
IEEE
13 years 9 months ago
Schur-based decomposition for reachability analysis of linear time-invariant systems
— We present a method for complexity reduction in reachability analysis and controller synthesis via a Schur-based decomposition for LTI systems. The decomposition yields either ...
Shahab Kaynama, Meeko Oishi
CDC
2008
IEEE
123views Control Systems» more  CDC 2008»
13 years 11 months ago
Reachability analysis of nonlinear systems with uncertain parameters using conservative linearization
— Given an initial set of a nonlinear system with uncertain parameters and inputs, the set of states that can possibly be reached is computed. The approach is based on local line...
Matthias Althoff, Olaf Stursberg, Martin Buss