Control of affine nonlinear systems with nilpotent structure in singular problems

DOI10.1007/S10957-004-0945-XzbMath1062.49003OpenAlexW1997299534MaRDI QIDQ1777598

Niranjan Chakravarthy

Publication date: 24 May 2005

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-004-0945-x

zbMATH Keywords

optimal controlLie algebrasaffine nonlinear systemsvector fieldsepsilon-algorithmnilpotent operatorssingular and nonsingular functionals

Mathematics Subject Classification ID

Existence theories for optimal control problems involving ordinary differential equations (49J15) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (9)

Practical optimal state feedback control law for continuous-time switched affine systems with cyclic steady state ⋮ Sweep method in analysis optimal control for rendez-vous problems ⋮ Revisiting weak values through non-normality ⋮ Comments on ``optimally switched linear systems ⋮ Optimal control for quasi-linear systems with small parameters ⋮ Control of nonlinear systems in singular problems ⋮ Stabilization of feedback control and stabilizability optimal solution for nonlinear quadratic problems ⋮ Fundamental solution for linear two-point boundary value problem ⋮ Optimal curves for an affine distribution

Cites Work

• Unnamed Item
• Optimal feedback control of nonlinear systems
• Local asymptotic approximation of non-linear control systems!
• On the loop transfer recovery
• Nilpotent Approximations of Control Systems and Distributions
• On Applications of a new method for computing optimal non-linear feedback controls
• On minimum-fuel control of affine nonlinear systems

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