Adaptive Absolute Stability∗. Issue 11 (2015)

• Record Type: Journal Article
• Authors: Fradkov, A.L.; Lipkovich, M.M.
• Is Part Of: IFAC-PapersOnLine. Volume 48:Issue 11(2015)
• Page Start: 258
• Page End: 263
• Publication Date: 2015
• Subjects: Absolute stability -- adaptive algorithms -- Lyapunov function -- minimum-phase systems -- nonlinear systems; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2015.09.194
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: A new property of adaptive absolute stability for nonlinear Lurie systems is introduced. Adaptive absolute stability is an extension of classical absolute stability or Lurie problem. An algorithm of adaptive absolute stabilization based on new Passification theorem is proposed. It is shown that the proposed conditions for adaptive absolute stability are equivalent to existence of quadratic Lyapunov function of special class. The theoretic results of the paper are illustrated by example.