Generalized Riccati theory and robust control: a Popov function approach
Vlad Ionescu, Cristian Oara, Martin D. Weiss, Martin Weiss
This comprehensive text is unique in providing a generalization of the algebraic Riccati theory for the indefinite sign and singular cases from the perspective of the Popov function approach. The theory embodies a systematic presentation from the time domain, frequency domain and state-space standpoints. The whole development is oriented towards applications in robust systems theory.
- Extension of the celebrated Popov positivity theory to the game theoretic case
- Characterizations of the solutions to the Riccati equation in terms of the input-output operator, transfer function matrix and transmission matrix pencil, all associated with the underlying Hamiltonian system
- Comprehensive treatment of both continuous and discrete time cases
- A signature condition based approach which unifies the solutions to various mathematical problems from robust control theory, including the maxmin, Nehari, H2, H??? control and robust stabilization problems
Категории:
Година:
1999
Издателство:
Wiley
Език:
english
Страници:
391
ISBN 10:
0471971472
ISBN 13:
9780471971474
Файл:
DJVU, 2.41 MB
IPFS:
,
english, 1999