Optimal control problems for singular systems

DOI10.1080/00207178808906146zbMath0653.49014OpenAlexW2040594587MaRDI QIDQ3799240

Zihou Yang, Jingyue Lin

Publication date: 1988

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207178808906146

zbMATH Keywords

nonlinear singular systemNecessary conditions

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Nonlinear ordinary differential equations and systems (34A34) Control/observation systems governed by ordinary differential equations (93C15) Optimality conditions for problems involving ordinary differential equations (49K15) General theory for ordinary differential equations (34A99)

Related Items (11)

Optimal control of causal differential-algebraic systems ⋮ Minimal order realization with a special coordinate for matrix fraction descriptions ⋮ Straightforward approach to completely singular system realization for arbitrary polynomial matrices ⋮ Derivation of a maximum principle for descriptor systems without an admissible initial condition assumption ⋮ Convergence analysis of a computational method for optimal control of non-linear differential-algebraic systems ⋮ Generalized realizations with a special coordinate for matrix fraction descriptions ⋮ Optimal control for unstructured nonlinear differential-algebraic equations of arbitrary index ⋮ An optimality criterion for a linear-quadratic optimal control problem for a descriptor system ⋮ Approach to controllability problems for singular systems ⋮ Realization algorithm for constructing a controllable representation of a singular system with a special coordinate ⋮ Hamilton-Jacobi equation for descriptor systems

Cites Work

• Unnamed Item
• On the regulator problem for linear degenerate control systems
• A generalized state-space for singular systems
• Descriptor variable systems and optimal state regulation
• A note on optimal control of generalized state-space (descriptor) systems
• Singular Dynamic Leontief Systems
• Structural properties of linear dynamical systems

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