Korobov’s Controllability Function as Motion Time: Extension of the Solution Set of the Synthesis Problem

DOI10.15407/mag19.03.556OpenAlexW4389350741MaRDI QIDQ6192173

Abdon Eddy Choque Rivero

Publication date: 12 February 2024

Published in: Zurnal matematiceskoj fiziki, analiza, geometrii (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15407/mag19.03.556

zbMATH Keywords

canonical systemsynthesis problembounded controlfinite-time stabilizationcontrollability function

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Canonical structure (93B10) Synthesis problems (93B50) Finite-time stability (93D40)

Cites Work

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• Analysis of finite-time convergence by the method of Lyapunov functions in systems with second-order sliding modes
• On Hankel positive definite perturbations of Hankel positive definite sequences and interrelations to orthogonal matrix polynomials
• Feedback control design for systems with \(x\)-discontinuous right-hand side
• Stability by Liapunov's direct method. With applications
• Polynomials. Translated from the second Russian edition 2001 by Dimitry Leites.
• The admissible control problem from the moment problem point of view
• Schur complements and statistics
• Problems and theorems in analysis II. Theory of functions, zeros, polynomials, determinants, number theory, geometry. Transl. from the German by C. E. Billigheimer.
• Robust feedback control for a linear chain of oscillators
• On mappability of control systems to linear systems with analytic matrices
• Construction of restricted controls for a non-equilibrium point in global sense
• Determination of the inertia of a partitioned Hermitian matrix
• Tricks or Treats with the Hilbert Matrix
• Cholesky decomposition of the Hilbert matrix
• A GENERAL APPROACH TO THE SOLUTION OF THE BOUNDED CONTROL SYNTHESIS PROBLEM IN A CONTROLLABILITY PROBLEM
• On the Solution Set of the Admissible Bounded Control Problem via Orthogonal Polynomials
• Bounded finite-time stabilization of the prey – predator model via Korobov’s controllability function
• Extended set of solutions of a bounded finite-time stabilization problem via the controllability function
• The Peculiarity of Solving the Synthesis Problem for Linear Systems to a Non-Equilibrium Point
• On perturbation range in the feedback synthesis problem for a chain of integrators system