Numerical algorithms and existence results on LQ control of descriptor systems with conditions on x(0−) and stability

DOI10.1080/00207170802029597zbMath1154.49308OpenAlexW2042158986MaRDI QIDQ3603740

Joven Stefanovski

Publication date: 18 February 2009

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

Full work available at URL: https://doi.org/10.1080/00207170802029597

zbMATH Keywords

descriptor systemEuler-Lagrange differential equationsdeflating subspacepara-Hermitian pencil

Mathematics Subject Classification ID

Linear-quadratic optimal control problems (49N10)

Related Items (2)

Solutions of differential-algebraic equations as outputs of LTI systems: application to LQ control problems ⋮ LQ control of descriptor systems: a spectral factorisation approach

Cites Work

• The computation of Kronecker's canonical form of a singular pencil
• The optimal regulation of generalized state-space systems with quadratic cost
• Spectral factorization via Hermitian pencils
• On the regulator problem for linear degenerate control systems
• The linear quadratic optimal control problem for linear descriptor systems with variable coefficients
• Rational spectral factorization using state-space methods
• The linear-quadratic optimal regulator for descriptor systems
• Descriptor variable systems and optimal state regulation
• Singular Optimal Control: A Geometric Approach
• General matrix pencil techniques for the solution of algebraic Riccati equations: a unified approach
• Impulse controllability and observability of rectangular descriptor systems
• On Linear-Quadratic Optimal Control Problems for Time-Varying Descriptor Systems
• Singular LQ problem for nonregular descriptor systems
• The robustness properties of the linear quadratic regulators for singular systems
• LQ control of descriptor systems by cancelling structure at infinity

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