Speciality:
01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date:
21.10.1926
Website: https://www.math.spbu.ru/htmlsources/yakubovi.html Keywords: parametric rezonance; linear periodic Hamiltonian systems; frequency methods; nonlinear systems; periodic, almost periodic solutions; dissipativity; dichotomy; convergence; absolute stability; adaptive systems; finite conve rgent algorithms for the solutions of infinite systems of inequalities; optimal control; abstract maximum principle; linear quadratic optimization problems; nonconvex optimization problems; differencial games, universal controllers.
Subject:
The parametric resonance theory and new approaches to the stability theory of nonlinear systems and to the optimization theory were developed. Among the contributions there are the quadratic criterion for absolute stabi lity, "Frequency theorem", the method of "recursive aim inequalities" in adaptive control and an abstract theory of optimal control, extending the Pontrjagin maximum principle to many new cases. Lemma Kalman-Yakubovich permits to connect two methods of control theory: frequency method and Liapu nov method. It is also of importance in stochastic realization theory. These theoretic investigations finds an application in many applied problems including robotic, mechanical engineering and electric energetics. The main results in recent years concern new aspects of linear-quadratic optimization problems.
Main publications:
Yakubovich V. A. Nonconvex optimization problem: The infinite-horizon lin ear quadratic control problem with quadratic constraints // Systems and Control Letters, 1992, 19, 13–22.
