Global Exact Quadratization of Continuous-Time Nonlinear Control Systems

DOI10.1137/130915418zbMath1336.93076OpenAlexW1985873710MaRDI QIDQ2810058

Francesco Carravetta

Publication date: 31 May 2016

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

Full work available at URL: https://doi.org/10.1137/130915418

zbMATH Keywords

ordinary differential equationsanalytic functionsnonlinear control systemsclosed-form expressionstranscendental functionsbilinear control systemsalgebraic functionsquadratic control systems\(C^\infty\) immersion of systemsanalytic immersion of systems

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Nonlinear ordinary differential equations and systems (34A34) Control problems involving ordinary differential equations (34H05) General systems (93A10) Curves in Euclidean and related spaces (53A04) Control/observation systems governed by ordinary differential equations (93C15) Control problems involving ordinary differential equations (34H99)

Related Items (4)

Quadratized Taylor series methods for ODE numerical integration ⋮ On the solution calculation of nonlinear ordinary differential equations via exact quadratization ⋮ Finite determination of accessibility and singular points of nonlinear systems: an algebraic approach ⋮ Cubification of \(\sigma \pi \)-SDE and exact moment equations

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