Title :
Time-varying positivity theory and applications
Author :
Ionescu, V. ; Stefan, R.
Author_Institution :
Fac. of Autom. Control & Comput., Univ. Polytehnica Bucharest, Bucharest, Romania
Abstract :
Necessary and sufficient conditions for the existence of the stabilizing solution to the differential Riccati equation of definite sign quadratic term are derived in terms of the Popov operator. This operator is associated with a controlled exponentially dichotomic evolution and a quadratic cost. Applications to the analysis of continuous time-varying linear dynamical systems are also considered.
Keywords :
Riccati equations; continuous systems; differential equations; linear systems; stability; time-varying systems; Popov operator; continuous time-varying linear dynamical system analysis; controlled exponentially dichotomic evolution; definite sign quadratic term; differential Riccati equation; quadratic cost; stabilizing solution; time-varying positivity theory; Frequency-domain analysis; Linear matrix inequalities; Riccati equations; Sufficient conditions; Time-varying systems; Popov operator; differential Riccati equation; positivity;
Conference_Titel :
Control Conference (ECC), 2001 European
Conference_Location :
Porto
Print_ISBN :
978-3-9524173-6-2
