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  • 1
    Digitale Medien
    Digitale Medien
    The Kalman-Yakubovich-Popov theorem for stabilizable hyperbolic boundary control systems (1999)
    Springer
    Integral equations and operator theory 34 (1999), S. 478-493 
    Details
    ISSN: 1420-8989
    Schlagwort(e): 49 N 10 ; 93 D 10
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: Abstract In this paper we present a version of the Kalman-Yakubovich-Popov theorem for a class of boundary control systems of hyperbolic type. Unstable, controllable systems are considered and stabilizability withunbounded feedbacks is permitted.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01272886
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  • 2
    Digitale Medien
    Digitale Medien
    The standard regulator problem for systems with input delays. An approach through singular control theory (1995)
    Springer
    Applied mathematics & optimization 31 (1995), S. 119-136 
    Details
    ISSN: 1432-0606
    Schlagwort(e): Regulator problem ; Input delays ; 49J25 ; 93C25
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: Abstract We present a new solution to the quadratic regulator problem for systems with input delays. Our approach makes use of the existing theory of the singular quadratic regulator problem for distributed systems.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01182784
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  • 3
    Digitale Medien
    Digitale Medien
    Disturbance decoupling and invariant subspaces for delay systems (1986)
    Springer
    Applied mathematics & optimization 14 (1986), S. 55-72 
    Details
    ISSN: 1432-0606
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: Abstract In this paper we consider the disturbance decoupling problem for distributed parameter systems, with special attention to the case of delay systems. We present several examples which illustrate the difficulties of the infinite dimensional theory for the case of general distributed parameter systems and for the case of delay systems. In this last case we single out a class of subspaces whose invariant properties are easily characterized and which seems to be interesting from the point of view of the applications.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01442228
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  • 4
    Digitale Medien
    Digitale Medien
    Stabilization of neutral functional differential equations (1976)
    Springer
    Journal of optimization theory and applications 20 (1976), S. 191-204 
    Details
    ISSN: 1573-2878
    Schlagwort(e): Control theory ; feedback control ; functional differential equations ; linear systems
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: Abstract In this paper, we prove a necessary and sufficient condition for feedback stabilization of neutral functional differential equations.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01767451
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  • 5
    Digitale Medien
    Digitale Medien
    Nonautonomous regulator problem in Hilbert spaces (1980)
    Springer
    Journal of optimization theory and applications 30 (1980), S. 471-484 
    Details
    ISSN: 1573-2878
    Schlagwort(e): Control theory ; distributed-parameter problems ; linear-quadratic problems ; Riccati equation
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: Abstract In this paper, we study the quadratic optimal control problem on the half linet≥t o, for nonautonomous control processes in Hilbert spaces. We prove that the quadratic optimal control problem has a solution if, and only if, an associated Riccati equation has a positive solution fort≥t o. The optimal control is given in feedback form. If a detectability assumption holds, then we prove that the optimal control is a stabilizing feedback control when the associated Riccati equation has a positive solution which is bounded fort≥t o.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF00935498
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  • 6
    Digitale Medien
    Digitale Medien
    Controllability and stabilization for linear systems of algebraic and differential equations (1980)
    Springer
    Journal of optimization theory and applications 30 (1980), S. 601-620 
    Details
    ISSN: 1573-2878
    Schlagwort(e): Control theory ; controllability ; stabilization ; feedback control ; Riccati equation
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: Abstract In this paper, we study several reachability and controllability definitions for linear, autonomous systems of degenerate ordinary differential equations. We try to identify the most interesting among them; we prove the connections with stabilizability and full stabilizability properties of the systems, which are also studied. In particular, we show the connection of the stabilizability property with the existence of special solutions of a suitable version of the Riccati equation.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01686724
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  • 7
    Digitale Medien
    Digitale Medien
    On the regulator problem for linear degenerate control systems (1981)
    Springer
    Journal of optimization theory and applications 33 (1981), S. 241-254 
    Details
    ISSN: 1573-2878
    Schlagwort(e): Differential equations ; linear-quadratic problems ; linear systems ; regulator problem
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: Abstract In this paper, we study the finite-time regulator problem for linear, autonomous, degenerate systems, i.e., systems described by the differential equation $$K\dot x = Ax + Bu(t)$$ with det(K)=0. Two investigations of the regulator problem are presented, which depend on the quadratic cost associated with the differential equation.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF00935549
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  • 8
    Digitale Medien
    Digitale Medien
    Input dynamics and nonstandard riccati equations with applications to boundary control of damped wave and plate equations (1995)
    Springer
    Journal of optimization theory and applications 84 (1995), S. 549-574 
    Details
    ISSN: 1573-2878
    Schlagwort(e): Boundary control ; wave and plate equations ; optimization ; nonstandard Riccati equations ; input dynamics
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: Abstract An optimization problem for a control system governed by an analytic generator with unbounded control actions is considered. The solution to this problem is synthesized in terms of the Riccati operator, arising from a nonstandard Riccati equation. Solvability and uniqueness of the solutions to this Riccati equation are established. This theory is applied to a boundary control problem governed by damped wave and plate equations.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF02191985
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  • 9
    Digitale Medien
    Digitale Medien
    Linear control systems: Controllability with constrained controls (1976)
    Springer
    Journal of optimization theory and applications 19 (1976), S. 577-585 
    Details
    ISSN: 1573-2878
    Schlagwort(e): Bounded control problems ; control theory ; controllability ; linear systems
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: Abstract We study the null controllability with bounded controls of an ordinary control process in ℝ n . To prove controllability conditions for the nonautonomous case, we need to generalize the definition of characteristic exponents of a linear system. Some theorems on characteristic exponents are stated.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF00934656
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  • 10
    Digitale Medien
    Digitale Medien
    Dynamical Reconstruction of Inputs for Contraction Semigroup Systems: Boundary Input Case (1999)
    Springer
    Journal of optimization theory and applications 103 (1999), S. 401-420 
    Details
    ISSN: 1573-2878
    Schlagwort(e): Boundary control ; dynamical reconstruction ; contraction semigroups
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: Abstract In this paper, we study a boundary input system. We assume that the parameters of the systems are known as well as some qualitative information on the admissible inputs, but that the input is unknown. We extend an approach leading to the dynamical reconstruction of unknown inputs to a large class of boundary input systems. The main assumption is that the semigroup describing the free evolution of the system is a contraction semigroup.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1023/A:1021709004193
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