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    AUTOMATICA
    2005
    169views more  AUTOMATICA 2005»
    Analysis of input-to-state stability for discrete time nonlinear systems via dynamic programming
    13 years 4 months ago
    Analysis of input-to-state stability for discrete time nonlinear systems via dynamic programming
    Download  www.math.rutgers.edu
    This paper presents novel analysis results for input-to-state stability (ISS) that utilise dynamic programming techniques to characterise minimal ISS gains and transient bounds. Th...
    Shoudong Huang, Matthew R. James, Dragan Nesic, Pe...
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    CDC
    2008
    IEEE
    236views Control Systems» more  CDC 2008»
    Non-monotonic Lyapunov functions for stability of discrete time nonlinear and switched systems
    13 years 11 months ago
    Non-monotonic Lyapunov functions for stability of discrete time nonlinear and switched systems
    Download  www.cds.caltech.edu
    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
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    AUTOMATICA
    2008
    167views more  AUTOMATICA 2008»
    Stability and robustness analysis of nonlinear systems via contraction metrics and SOS programming
    13 years 4 months ago
    Stability and robustness analysis of nonlinear systems via contraction metrics and SOS programming
    Download  web.mit.edu
    A wide variety of stability and performance questions about linear dynamical systems can be reformulated as convex optimization problems involving linear matrix inequalities (LMIs...
    Erin M. Aylward, Pablo A. Parrilo, Jean-Jacques E....
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    AMC
    1999
    128views more  AMC 1999»
    An elementary result in the stability theory of time-invariant nonlinear discrete dynamical systems
    13 years 4 months ago
    An elementary result in the stability theory of time-invariant nonlinear discrete dynamical systems
    Download  math.lanl.gov
    The stability of the equilibria of time-invariant nonlinear dynamical systems with discrete time scale is investigated. We present an elementary proof showing that in the case of ...
    Weiye Li, Ferenc Szidarovszky
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    AUTOMATICA
    2008
    134views more  AUTOMATICA 2008»
    Probabilistic reachability and safety for controlled discrete time stochastic hybrid systems
    13 years 4 months ago
    Probabilistic reachability and safety for controlled discrete time stochastic hybrid systems
    Download  robotics.eecs.berkeley.edu
    In this work, probabilistic reachability over a finite horizon is investigated for a class of discrete time stochastic hybrid systems with control inputs. A suitable embedding of ...
    Alessandro Abate, Maria Prandini, John Lygeros, Sh...
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