Adjoints of solution semigroups and identifiability of delay differential equations in Hilbert spaces.
Mastinšek, M. (1994)
Acta Mathematica Universitatis Comenianae. New Series
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Displaying similar documents to “Spectral properties and finite pole assignment of linear neutral systems in Banach spaces.”
Adjoints of solution semigroups and identifiability of delay differential equations in Hilbert spaces.
On the controllability of a differential equation with delayed and advanced arguments.
Manzanilla, Raúl, Mármol, Luis Gerardo, Vanegas, Carmen J. (2010)
Abstract and Applied Analysis
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Existence of solutions for equations involving iterated functional series.
Murugan, V., Subrahmanyam, P.V. (2005)
Fixed Point Theory and Applications [electronic only]
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On the spectra of non-selfadjoint differential operators and their adjoints in direct sum spaces.
El-Sayed Ibrahim, Sobhy (2003)
International Journal of Mathematics and Mathematical Sciences
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Enlarged exact compensation in distributed systems
Larbi Afifi, Abdelhakim Chafiai, Abdelaziz Bel Fekih (2002)
International Journal of Applied Mathematics and Computer Science
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In this work, we examine, through the observation of a class of linear distributed systems, the possibility of reducing the effect of disturbances (pollution, etc.), by making observations within a given margin of tolerance using a control term. This problem is called enlarged exact remediability. We show that with a convenient choice of input and output operators (actuators and sensors, respectively), the considered control problem has a unique optimal solution, which will be given....
On the circle criterion for boundary control systems in factor form : Lyapunov stability and Lur’e equations
Piotr Grabowski, Frank M. Callier (2006)
ESAIM: Control, Optimisation and Calculus of Variations
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A Lur’e feedback control system consisting of a linear, infinite-dimensional system of boundary control in factor form and a nonlinear static sector type controller is considered. A criterion of absolute strong asymptotic stability of the null equilibrium is obtained using a quadratic form Lyapunov functional. The construction of such a functional is reduced to solving a Lur’e system of equations. A sufficient strict circle criterion of solvability of the latter is found, which is based...
The spectra of general differential operators in the direct sum spaces
Sobhy El-sayed Ibrahim (2004)
Czechoslovak Mathematical Journal
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In this paper, the general ordinary quasi-differential expression of -th order with complex coefficients and its formal adjoint on any finite number of intervals , , are considered in the setting of the direct sums of -spaces of functions defined on each of the separate intervals, and a number of results concerning the location of the point spectra and the regularity fields of general differential operators generated by such expressions are obtained. Some of these are extensions...
Stabilization of second order evolution equations with unbounded feedback with delay
Serge Nicaise, Julie Valein (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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We consider abstract second order evolution equations with unbounded feedback with delay. Existence results are obtained under some realistic assumptions. Sufficient and explicit conditions are derived that guarantee the exponential or polynomial stability. Some new examples that enter into our abstract framework are presented.