Robustness Properties of Nonlinear Systems: Absolute Stability of Linear Systems
نویسنده
چکیده
In this paper we present a new approach to the Popov's Positivity Theorem and new statements and proofs of Absolute Stability Theorems. In the rst chapter we establish connexions between Riccati equations, Kalman-Yakubovitch-Popov systems and Luri e systems. We prove this results for stabilizable and antistabilizable solutions avoiding Youla's factorization. In the second chapter we state the Absolute Stability Theorems that we are dealing with: Circle Criteria, General Popov Criteria and the usual Popov Criteria. Then we present the mechanism of the proofs and at the end of the chapter we give the extended proofs.
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