On a class of suboptimal controls for infinite-dimensional bilinear systems

DOI10.1016/0167-6911(85)90030-1zbMath0573.93026OpenAlexW2001617049MaRDI QIDQ1062945

B. George

Publication date: 1985

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: http://eprints.whiterose.ac.uk/76803/1/report%20258.pdf

zbMATH Keywords

feedback controlbilinear systemsuboptimal controlformal power series on a Hilbert space

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Control/observation systems in abstract spaces (93C25) Existence theories for problems in abstract spaces (49J27) Multilinear algebra, tensor calculus (15A69) Inner product spaces and their generalizations, Hilbert spaces (46C99)

Related Items (17)

Linear and bilinear infinite-dimensional representations of finite-dimensional non-linear systems ⋮ On the optimal control of bilinear systems and its relation to Lie algebras ⋮ Infinite-dimensional Carleman linearization, the Lie series and optimal control of non-linear partial differential equations ⋮ On the equivalent bilinearization of non-linear controlled delay systems ⋮ Global bilinearization of non-linear systems and the existence of Volterra series ⋮ Optimal control problem governed by an infinite dimensional two-nilpotent bilinear system ⋮ Generalization of the Lyapunov equation to non-linear systems ⋮ Improvements on derivatives of matrices ⋮ Non-linear systems: identification and optimal control ⋮ Algebraic condition for observability of non-linear analytic systems ⋮ Bilinear systems in the frequency domain and an application to optimal control ⋮ Nonlinear optimal tracking control with application to super-tankers for autopilot design ⋮ Optimal control of distributed bilinear systems ⋮ Global optimal feedback control for general nonlinear systems with nonquadratic performance criteria ⋮ Functional expansion and stability for non-linear input-output maps ⋮ On a class of suboptimal controls for infinite-dimensional bilinear systems ⋮ On the optimal control of nonlinear systems

Cites Work

• On a class of suboptimal controls for infinite-dimensional bilinear systems
• Volterra series and geometric control theory
• Multilinear algebra. 2nd ed
• Feedback stabilization of distributed semilinear control systems
• Controllability of a discrete-time bilinear system
• On models for linear operators
• Stabilizing controllers for bilinear systems
• Realization theory and the infinite-dimensional root locus
• An existence theorem for observers of bilinear systems
• On the generation of infinite-dimensional bilinear systems and Volterra series

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