A frequency theorem for the case in which the state and control spaces are Hilbert spaces, with an application to some problems in the synthesis of optimal controls. I

DOI10.1007/BF00969815zbMath0302.49017OpenAlexW4232540883MaRDI QIDQ1215938

V. A. Yakubovich

Publication date: 1975

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00969815

Mathematics Subject Classification ID

Optimality conditions for problems in abstract spaces (49K27)

Related Items (8)

The standard regulator problem for systems with input delays. An approach through singular control theory ⋮ On the Kalman-Yakubovich-Popov lemma ⋮ Reliable decentralized stabilization via extended linear matrix inequalities and constrained dissipativity ⋮ On exact controllability in Hilbert spaces ⋮ The Kalman-Yakubovich-Popov Lemma for Pritchard-Salamon systems ⋮ Nonconvex optimization problem: The infinite-horizon linear-quadratic control problem with quadratic constraints ⋮ Popov theories and qualitative behavior of dynamic and control systems ⋮ The Kalman-Yakubovich-Popov theorem for stabilizable hyperbolic boundary control systems

Cites Work

• The theory of analytic design of controllers
• LYAPUNOV FUNCTIONS FOR THE PROBLEM OF LUR'E IN AUTOMATIC CONTROL
• DETERMINATION OF STABILITY BY LINEAR APPROXIMATION OF A PERIODIC SOLUTION OF A SYSTEM OF DIFFERENTIAL EQUATIONS WITH DISCONTINUOUS RIGHT-HAND SIDES
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