Dynamical Realizations of Finite Volterra Series

DOI10.1137/0319014zbMath0477.93016OpenAlexW2138126116MaRDI QIDQ3934206

Peter E. Crouch

Publication date: 1981

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0319014

zbMATH Keywords

minimal realizationnilpotent Lie groupsVolterra seriesinput-output mapcascade of linear subsystems

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Minimal systems representations (93B20) Nilpotent and solvable Lie groups (22E25) General systems theory (93A99) Realizations from input-output data (93B15) Control/observation systems governed by ordinary differential equations (93C15) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Related Items (20)

Geometric control theory ⋮ Method for the global analysis of non-linear parametrized systems ⋮ Algebraic and multiple integral identities ⋮ On the existence of observable linear systems on Lie groups ⋮ Global bilinearization of non-linear systems and the existence of Volterra series ⋮ On finite volterra series which admit hamiltonian realizations ⋮ The early days of geometric nonlinear control ⋮ On decomposition of nonlinear control systems ⋮ Quadratic control systems ⋮ Realizations of nonlinear systems ⋮ Solving nonlinear equations from higher order derivations in linear stages ⋮ Models for free nilpotent Lie algebras ⋮ Realizability of volterra series with constant kernels ⋮ Realisation locale des systèmes non linéaires, algèbres de Lie filtrees transitives et séries generatrices non commutatives ⋮ A seperation property of realizable Volterra kernels ⋮ On some applications of transversality theory to system theory ⋮ Controllability on principal fibre bundles with compact structure group ⋮ On the synthesis of linear input-output responses for nonlinear systems ⋮ Input-output parametric models for non-linear systems Part II: stochastic non-linear systems ⋮ A factorization method for identification of Volterra systems

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