scientific article; zbMATH DE number 5589404

zbMath1177.93002MaRDI QIDQ5324375

R. I. Petryshyn, A. G. Mazko, Vitalii I. Slyn'ko, Alexander Mikhailovich Kovalev, V. Yu. Slyusarchuk, Alexander Zuyev, Alexander A. Boichuk, Anatoly Martynyuk

Publication date: 3 August 2009

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

stabilitycomparison principlerobust stabilityLyapunov functionsmatrix equationgeneralized Lyapunov equationinitial and boundary-value problemspractical stability of motioncone inequalitydifferential and difference systemssystems with impulse action and aftereffect

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Multivariable systems, multidimensional control systems (93C35) Dynamical systems in solid mechanics (37N15) Linearizations (93B18) Asymptotic stability in control theory (93D20) Pole and zero placement problems (93B55) Matrix equations and identities (15A24) Research exposition (monographs, survey articles) pertaining to systems and control theory (93-02) Robust stability (93D09) Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Algebraic methods (93B25) Linear functional-differential equations (34K06) Oscillation theory of functional-differential equations (34K11) Large-scale systems (93A15) Matrix pencils (15A22)

Related Items (5)

Necessary and sufficient conditions for the absolute instability of solutions of linear differential-difference equations with self-adjoint operator coefficients ⋮ Conditions for the absolute instability of the solutions of difference equations with self-adjoint operator coefficients ⋮ Linear functional equations with \(\mathfrak{D}_H\)-unstable solutions ⋮ Periodic switching strategies for an isoperimetric control problem with application to nonlinear chemical reactions ⋮ Linear functional-differential equations with absolutely unstable solutions

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