Recursive approach to Nash games of Quasi singularly perturbed linear systems
Апстракт
In this paper we derive an algorithm for solving the linear-quadratic differential Nash game problem of singularly perturbed systems. It is known that the general steady state solution to the above problem is given in terms of the ill-conditioned coupled algebraic Riccati equations. We show that for a special class, so-called quasi singularly perturbed systems, the positive definite stabilizing solutions of the coupled Nash algebraic Riccati equations can be obtained in terms of reduced-order well-conditioned algebraic equations corresponding to slow and fast variables.
Извор:
Proceedings of the American Control Conference, 1998, 3, 1513-1517Колекције
Институција/група
Mašinski fakultetTY - CONF AU - Škatarić, Dobrila AU - Petrović, B. PY - 1998 UR - https://machinery.mas.bg.ac.rs/handle/123456789/164 AB - In this paper we derive an algorithm for solving the linear-quadratic differential Nash game problem of singularly perturbed systems. It is known that the general steady state solution to the above problem is given in terms of the ill-conditioned coupled algebraic Riccati equations. We show that for a special class, so-called quasi singularly perturbed systems, the positive definite stabilizing solutions of the coupled Nash algebraic Riccati equations can be obtained in terms of reduced-order well-conditioned algebraic equations corresponding to slow and fast variables. C3 - Proceedings of the American Control Conference T1 - Recursive approach to Nash games of Quasi singularly perturbed linear systems EP - 1517 SP - 1513 VL - 3 DO - 10.1109/ACC.1998.707230 ER -
@conference{ author = "Škatarić, Dobrila and Petrović, B.", year = "1998", abstract = "In this paper we derive an algorithm for solving the linear-quadratic differential Nash game problem of singularly perturbed systems. It is known that the general steady state solution to the above problem is given in terms of the ill-conditioned coupled algebraic Riccati equations. We show that for a special class, so-called quasi singularly perturbed systems, the positive definite stabilizing solutions of the coupled Nash algebraic Riccati equations can be obtained in terms of reduced-order well-conditioned algebraic equations corresponding to slow and fast variables.", journal = "Proceedings of the American Control Conference", title = "Recursive approach to Nash games of Quasi singularly perturbed linear systems", pages = "1517-1513", volume = "3", doi = "10.1109/ACC.1998.707230" }
Škatarić, D.,& Petrović, B.. (1998). Recursive approach to Nash games of Quasi singularly perturbed linear systems. in Proceedings of the American Control Conference, 3, 1513-1517. https://doi.org/10.1109/ACC.1998.707230
Škatarić D, Petrović B. Recursive approach to Nash games of Quasi singularly perturbed linear systems. in Proceedings of the American Control Conference. 1998;3:1513-1517. doi:10.1109/ACC.1998.707230 .
Škatarić, Dobrila, Petrović, B., "Recursive approach to Nash games of Quasi singularly perturbed linear systems" in Proceedings of the American Control Conference, 3 (1998):1513-1517, https://doi.org/10.1109/ACC.1998.707230 . .