Singular LQ problem for nonregular descriptor systems

IEEE Transactions on Automatic Control

Volumn 47, Issue 7, 2002, Pages 1128-1133

  Zhu, Jiandong ^a   Ma, Shuping ^a   Cheng, Zhaolin ^a  

^a SHANDONG UNIVERSITY   (China)

Author keywords

Nonregular descriptor systems; Singular linear quadratic (LQ) problem; State feedback

Indexed keywords

CLOSED LOOP CONTROL SYSTEMS; CONTROL SYSTEM SYNTHESIS; EIGENVALUES AND EIGENFUNCTIONS; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; RICCATI EQUATIONS; STATE FEEDBACK; STATE SPACE METHODS;

LINEAR MATRIX INEQUALITIES; NONREGULAR DESCRIPTOR SYSTEMS; SINGULAR LINEAR QUADRATIC PROBLEM;

OPTIMAL CONTROL SYSTEMS;

EID: 0036647390     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2002.800652     Document Type: Article

References (24)

1. The linear-quadratic optimal regulator for descriptor systems
2. Singular optimal control problem of linear singular systems with linear-quadratic cost
3. The optimal regulation of generalized state-space systems with quadratic cost
4. Descriptor variable systems and optimal state regulation
5. Linear-quadratic control with and without stability subject to general implicit continuous-time systems: Coordinate-free interpretations of the optimal costs in terms of dissipation inequality and linear matrix inequality; existence and uniqueness of optimal controls and state trajectories
6. Solvability conditions, consistency, and weak consistency for linear differential-algebraic equations and time-invariant singular systems: The general case
7. Stability theory for differential-algebraic systems with application to power systems
8. Causal observability of descriptor systems
9. Observer design for descriptor systems
10. Impulse controllability and observability of rectangular descriptor systems
11. Necessary and sufficient conditions for singular control problems: A limit approach
12. Linear quadratic regulator and spectral factorization for continuous-time descriptor systems
13. Singular dynamic leontief systems
14. Nonnegativity of a quadratic functional
15. The singular solutions to a singular quadratic minimization problem
16. Jump behavior of circuits and systems
17. Hamilton-Jacobi equation for descriptor systems
18. The linear-quadratic optimal control of time-varying descriptor systems
19. Singular LQ problem for descriptor systems