Stability of coupled systems.
Amar Khodja, Farid, Benabdallah, Assia, Teniou, Djamel (1996)
Abstract and Applied Analysis
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Displaying similar documents to “The asymptotical stability of a dynamic system uppercasewith structural damping”
Stability of coupled systems.
On stability and robust stability of positive linear Volterra equations in Banach lattices
Satoru Murakami, Pham Ngoc (2010)
Open Mathematics
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We study positive linear Volterra integro-differential equations in Banach lattices. A characterization of positive equations is given. Furthermore, an explicit spectral criterion for uniformly asymptotic stability of positive equations is presented. Finally, we deal with problems of robust stability of positive systems under structured perturbations. Some explicit stability bounds with respect to these perturbations are given.
Exponential formula for one-time integrated semigroups.
Kalabušić, Senada, Vajzović, Fikret (2003)
Novi Sad Journal of Mathematics
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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...
Stability of solutions of differential-operator and operator-difference equations with respect to perturbation of operators
B. S. Jovanović, S. V. Lemeshevsky, P. P. Matus, P. N. Vabishchevich (2007)
Kragujevac Journal of Mathematics
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Semilinear integro-differential equations with compact semigroups.
Bahuguna, D., Srivastava, S.K. (1998)
Journal of Applied Mathematics and Stochastic Analysis
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On the operator equation with unbounded operators , , and .
Nguyen, Thanh Lan (2001)
Abstract and Applied Analysis
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Dynamic stabilization of systems via decoupling techniques
Farid Ammar-Khodja, Ahmed Bader, Assia Benabdallah (1999)
ESAIM: Control, Optimisation and Calculus of Variations
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Global solutions and exponential decay for a nonlinear coupled system of beam equations of Kirchhoff type with memory in a domain with moving boundary.
Santos, M.L., Soares, U.R. (2007)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Infinite-dimensional Sylvester equations: Basic theory and application to observer design
Zbigniew Emirsajłow (2012)
International Journal of Applied Mathematics and Computer Science
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This paper develops a mathematical framework for the infinite-dimensional Sylvester equation both in the differential and the algebraic form. It uses the implemented semigroup concept as the main mathematical tool. This concept may be found in the literature on evolution equations occurring in mathematics and physics and is rather unknown in systems and control theories. But it is just systems and control theory where Sylvester equations widely appear, and for this reason we intend to...