Riccati equations for nonsymmetric and nondissipative hyperbolic systems with \(L_ 2\)-boundary controls

DOI10.1016/S0022-247X(86)80005-1zbMath0597.93030MaRDI QIDQ1079535

B. George

Publication date: 1986

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

regularityhyperbolic systemsRiccati equationsfeedback synthesisquadratic cost boundary controlsemigroup models

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Linear systems in control theory (93C05) Synthesis problems (93B50) Linear symmetric and selfadjoint operators (unbounded) (47B25) Groups and semigroups of linear operators (47D03) Equations involving linear operators, with operator unknowns (47A62) Initial-boundary value problems for first-order hyperbolic systems (35L50) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items

Riccati equations for nonsymmetric and nondissipative hyperbolic systems with \(L_ 2\)-boundary controls, High level interior and boundary regularity results of the euler-bernoulli equation with application to differential riccati equations in optimal control¹, Differential Riccati equations with unbounded coefficients: applications to boundary control/boundary observation hyperbolic problems, Algebraic Riccati equations with non-smoothing observation arising in hyperbolic and Euler-Bernoulli boundary control problems, Approximations of solutions to infinite–dimensional algebraic riccati equations with unbounded input operators, A Lifting Theorem for the Time Regularity of Solutions to Abstract Equations with Unbounded Operators and Applications to Hyperbolic Equations

Cites Work

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