On the Kleinman iteration for periodic nonstabilizable systems

ECC 1997 - European Control Conference

Volumn , Issue , 1997, Pages 3800-3805

  Hernandez V ^a   Pastor, A ^a  

^a UNIVERSITAT POLITÈCNICA DE VALÈNCIA   (Spain)

Author keywords

Linear sistems; Numerical methods; Optimal control

Indexed keywords

LYAPUNOV FUNCTIONS; NUMERICAL METHODS; RICCATI EQUATIONS;

KLEINMAN ITERATIONS; LINEAR SISTEMS; LYAPUNOV EQUATION; MATRIX FUNCTIONS; MINIMALITY; NON NEGATIVES; OPTIMAL CONTROLS; PERIODIC RICCATI EQUATION;

ITERATIVE METHODS;

EID: 84983109539     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.23919/ecc.1997.7082709     Document Type: Conference Paper

References (7)

1. Kleinman D. L., "On an iterative technique for Riccati equation computations", IEEE Transactions on Automatic Control, 13, pp. 114-115, (1968).
2. Bittanti S., Bolzern P., "Stabilizability and detectabil-ity of linear periodic systems", System and Control Letters, 6, pp. 141-145, (1985).
3. Bittanti S., Colaneri P., De Nicolao G., "The periodic Riccati equation", In the book The Riccati equation, Bittanti S., Laub A. J., Willems J. C. (Eds) Springer-Verlag, pp. 128-162, (1991).
4. Bittanti S., Colaneri P., De Nicolao G., "Analisis of the discrete-time periodic Riccati equation by a Kleinman procedure" Proceedings of the 25Th conference on decision and control, Athenas, pp. 1444-.1449, (1986).
5. Pastor A., "Ecuaciones diferenciales matriciales de Riccati. Soluciones hermíticas semidefinidas positi-vas", Ph. D. thesis, Universidad Politecnica de Valencia, Spain, (1995).
6. Pastor A., Hernandez V., "Differential periodic Riccati equations: Existence and uniqueness of nonneg-ative definite solutions", Mathematics of Control Signals Sistems, 6, pp. 341-362, (1993)
7. Wimmer H. K., "Decomposition and parametrization of semidefinite solutions of the continuous-time algebraic Riccati equation", Siam J. Control and Optimization, 32, pp. 995-1007, (1994).