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ISSN:2164-6376 (print)
ISSN:2164-6414 (online)
Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA

Email: dr.volchenkov@gmail.com

Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania

Email: dumitru.baleanu@gmail.com

Static Output Feedback Control of Continuous Time Matrix Lyapunov and Sylvester Systems

Discontinuity, Nonlinearity, and Complexity 14(3) (2025) 519--535 | DOI:10.5890/DNC.2025.09.006

L.N. Charyulu. Rompicharla$^{1,2}$, Venkata Sundaranand Putcha$^3$ , G.V.S.R. Deekshitulu$^4$

$1$ Department of Mathematics, V.R.Siddhartha Engineering College, Kanuru, Vijayawada, A.P, India

$^2$ Research Scholar, Jawaharlal Nehru Technological University Kakinada, A.P, India

$^3$ Department of Mathematics, Rayalaseema University, Kurnool, A.P, India

$^4$ Department of Mathematics, JNTU College of Engineering, Kakinada, A.P, India

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Abstract

This paper deals with the linear matrix inequality (LMI) conditions for output feedback control problems defined by continuous matrix systems. The solution of nonlinear matrix inequality obtained in the Lyapunov function approach for the stabilization of matrix Lyapunov and Sylvester systems is obtained in terms of the solutions of corresponding linear matrix inequalities (LMIs). The established results are based on sufficient conditions since they are dependent on the state-space representation used for describing the continuous time matrix Lyapunov and Sylvester systems. Linear Matrix Inequalities (LMI) are constructed to establish sufficient conditions for the continuous time matrix Lyapunov and Sylvester systems. The established conditions demonstrated by a numerical examples.

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