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Empirical Estimators for Stochastically Forced Nonlinear Systems: Observability, Controllability and the Invariant Measure
Empirical Estimators Stochastically Forced Nonlinear Systems Invariant Measure Optimization and Control
2012/4/18
We introduce a data-based approach to estimating key quantities which arise in the study of nonlinear control systems and random nonlinear dynamical systems. Our approach hinges on the observation tha...
Coordinate-invariant incremental Lyapunov functions
Coordinate-invariant incremental Lyapunov functions Optimization and Control
2011/9/6
Abstract: The notion of incremental stability was proposed by several researchers as a strong property of dynamical and control systems. In this type of stability, the focus is on the convergence of t...
Some Results on the Solutions of Caputo Fractional Linear Time-Invariant Systems of any order with Internal Point Delays
Caputo fractional calculus Riemann- Liouville fractional calculus Positive solutions and systems
2010/12/9
This paper is devoted to the investigation of the nonnegative solutions and the stability and asymptotic properties of the solutions of fractional differential dynamic systems involving delayed dynami...
A poset has the non-messing-up property if it has two covering sets of disjoint saturated chains so that for any labeling of the poset, sorting the labels along one set of chains and then sorting the ...