From Chronological Calculus to Exponential Representations of Continuous and Discrete-Time Dynamics: A Lie-Algebraic Approach

DOI10.1109/TAC.2007.902734zbMath1366.93337OpenAlexW2067707967MaRDI QIDQ5282307

Claudia Califano, Salvatore Monaco, Dorothee Normand-Cyrot

Publication date: 27 July 2017

Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/tac.2007.902734

Mathematics Subject Classification ID

Sampled-data control/observation systems (93C57) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Control problems for functional-differential equations (34K35)

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Integral versions of input-to-state stability for dual-rate nonlinear sampled-data systems ⋮ Analysis of sampled-data high-gain observers in the presence of measurement noise ⋮ Involutive flows and discretization errors for nonlinear driftless control systems ⋮ Extension of chronological calculus for dynamical systems on manifolds ⋮ On optimality of passivity based controllers in discrete-time ⋮ Nonlinear average passivity and stabilizing controllers in discrete time ⋮ Global stabilization of high-order nonlinear systems under multi-rate sampled-data control ⋮ Advanced tools for nonlinear sampled-data systems' analysis and control ⋮ Canonical observer forms for multi-output systems up to coordinate and output transformations in discrete time

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