An improved delay-dependent stabilization criterion of linear time-varying delay systems: An iterative method

Venkatesh Modala; Sourav Patra; Goshaidas Ray

Kybernetika (2023)

  • Volume: 59, Issue: 4, page 633-654
  • ISSN: 0023-5954

Abstract

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This paper presents delay-dependent stabilization criteria for linear time-varying delay systems. A less conservative stabilization criterion is derived by invoking a new Lyapunov-Krasovskii functional and then, extended reciprocally convex inequality in combination with Wirtinger's inequality is exploited to obtain an improved stabilization criterion where a set of nonlinear matrix inequalities is solved by applying the cone complementarity algorithm. The proposed stabilization technique transforms a non-convex problem into a nonlinear trace minimization problem which is solved by an iterative approach. Numerical examples are considered to demonstrate the effectiveness of the proposed stabilization criteria and the presented iterative algorithm outperforms some existing results.

How to cite

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Modala, Venkatesh, Patra, Sourav, and Ray, Goshaidas. "An improved delay-dependent stabilization criterion of linear time-varying delay systems: An iterative method." Kybernetika 59.4 (2023): 633-654. <http://eudml.org/doc/299342>.

@article{Modala2023,
abstract = {This paper presents delay-dependent stabilization criteria for linear time-varying delay systems. A less conservative stabilization criterion is derived by invoking a new Lyapunov-Krasovskii functional and then, extended reciprocally convex inequality in combination with Wirtinger's inequality is exploited to obtain an improved stabilization criterion where a set of nonlinear matrix inequalities is solved by applying the cone complementarity algorithm. The proposed stabilization technique transforms a non-convex problem into a nonlinear trace minimization problem which is solved by an iterative approach. Numerical examples are considered to demonstrate the effectiveness of the proposed stabilization criteria and the presented iterative algorithm outperforms some existing results.},
author = {Modala, Venkatesh, Patra, Sourav, Ray, Goshaidas},
journal = {Kybernetika},
keywords = {time-delay systems; state feedback controller; Lyapunov–Krasovskii functional; Wirtinger's inequality; reciprocally convex inequality; linear matrix inequality},
language = {eng},
number = {4},
pages = {633-654},
publisher = {Institute of Information Theory and Automation AS CR},
title = {An improved delay-dependent stabilization criterion of linear time-varying delay systems: An iterative method},
url = {http://eudml.org/doc/299342},
volume = {59},
year = {2023},
}

TY - JOUR
AU - Modala, Venkatesh
AU - Patra, Sourav
AU - Ray, Goshaidas
TI - An improved delay-dependent stabilization criterion of linear time-varying delay systems: An iterative method
JO - Kybernetika
PY - 2023
PB - Institute of Information Theory and Automation AS CR
VL - 59
IS - 4
SP - 633
EP - 654
AB - This paper presents delay-dependent stabilization criteria for linear time-varying delay systems. A less conservative stabilization criterion is derived by invoking a new Lyapunov-Krasovskii functional and then, extended reciprocally convex inequality in combination with Wirtinger's inequality is exploited to obtain an improved stabilization criterion where a set of nonlinear matrix inequalities is solved by applying the cone complementarity algorithm. The proposed stabilization technique transforms a non-convex problem into a nonlinear trace minimization problem which is solved by an iterative approach. Numerical examples are considered to demonstrate the effectiveness of the proposed stabilization criteria and the presented iterative algorithm outperforms some existing results.
LA - eng
KW - time-delay systems; state feedback controller; Lyapunov–Krasovskii functional; Wirtinger's inequality; reciprocally convex inequality; linear matrix inequality
UR - http://eudml.org/doc/299342
ER -

References

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