Optimal steering for an extended class of nonholonomic systems using Lagrange functional

DOI10.1016/S0005-1098(97)00060-5zbMath1422.93025OpenAlexW1983145721WikidataQ127526110 ScholiaQ127526110MaRDI QIDQ2275029

Augusto Ferrante, Domenico D'Alessandro

Publication date: 2 October 2019

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0005-1098(97)00060-5

zbMATH Keywords

optimal controlRiccati equationnonlinear control systemsfinite escape timelocal canonical form

Mathematics Subject Classification ID

Applications of optimal control and differential games (49N90) Nonlinear systems in control theory (93C10) Canonical structure (93B10) Nonholonomic systems related to the dynamics of a system of particles (70F25)

Related Items (2)

A different look at the optimal control of the Brockett integrator ⋮ Solving optimal control problems by means of general Lagrange functionals

Cites Work

• Lagrange lemma and the optimal control of diffusions. II: Nonlinear Lagrange functionals
• On the existence of solutions of the Riccati differential equation
• Optimal control theory
• Lagrange approach to the optimal control of diffusions
• Non-blow-up conditions for Riccati-type matrix differential and difference equations
• Riccati differential equations
• Nonholonomic motion planning: steering using sinusoids
• An Overview of Bilinear System Theory and Applications
• Matrix quadratic equations
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