Novel stability criterion for linear system with two additive time-varying delays using general integral inequalities
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Publication:2130897
DOI10.3934/math.2021504zbMath1484.34130OpenAlexW3172219165MaRDI QIDQ2130897
Xitong Ma, Lu-Yao Wang, Yanqing Xing, Yu-de Ji
Publication date: 25 April 2022
Published in: AIMS Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/math.2021504
stabilitylinear systemlinear matrix inequalities (LMIs)time-varying delaysLyapunov-Krasovskii functional (LKF)
Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Stability theory of functional-differential equations (34K20) Stability of solutions to ordinary differential equations (34D20) Linear functional-differential equations (34K06) Inequalities for sums, series and integrals (26D15)
Cites Work
- Convex polyhedron method to stability of continuous systems with two additive time-varying delay components
- Linear parameter-varying and time-delay systems. Analysis, observation, filtering \& control
- Reciprocally convex approach to stability of systems with time-varying delays
- Note on stability of linear systems with time-varying delay
- Orthogonal-polynomials-based integral inequality and its applications to systems with additive time-varying delays
- Delay-dependent criteria for robust stability of time-varying delay systems
- Robust stability analysis of uncertain systems with two additive time-varying delay components
- Stability analysis for continuous systems with two additive time-varying delay components
- Hierarchy of LMI conditions for the stability analysis of time-delay systems
- Further improvement of Jensen inequality and application to stability of time-delayed systems
- New results on stability analysis for systems with discrete distributed delay
- Improved delay-range-dependent stability criteria for linear systems with time-varying delays
- Auxiliary function-based integral inequalities for quadratic functions and their applications to time-delay systems
- An extended reciprocally convex matrix inequality for stability analysis of systems with time-varying delay
- Improved stability criteria for linear systems with interval time-varying delays: generalized zero equalities approach
- Stability analysis of systems with two additive time-varying delay components via an improved delay interconnection Lyapunov-Krasovskii functional
- Hierarchical stability conditions for time-varying delay systems via an extended reciprocally convex quadratic inequality
- A relaxed quadratic function negative-determination lemma and its application to time-delay systems
- Hierarchical stability conditions of systems with time-varying delay
- Further refinements in stability conditions for time-varying delay systems
- Stability analysis of linear systems with two additive time-varying delays via delay-product-type Lyapunov functional
- New insights on stability of sampled-data systems with time-delay
- An extended reciprocally convex matrix inequality and its application to stability analysis of systems with additive time-varying delays
- Improved stability criteria for linear systems with two additive time-varying delays via a novel Lyapunov functional
- Stability analysis for linear time-delay systems using new inequality based on the second-order derivative
- Novel inequality with application to improve the stability criterion for dynamical systems with two additive time-varying delays
- Family optimal investment strategy for a random household expenditure under the CEV model
- Introduction to time-delay systems. Analysis and control
- Wirtinger-based integral inequality: application to time-delay systems
- New Lyapunov-Krasovskii functional for stability analysis of linear systems with time-varying delay
- Augmented Lyapunov functional and delay-dependent stability criteria for neutral systems
- New Augmented Lyapunov‐Krasovskii Functional for Stability Analysis of Systems with Additive Time‐Varying Delays
- New insight into delay‐dependent stability of time‐delay systems
- On Equivalence and Efficiency of Certain Stability Criteria for Time-Delay Systems
- Convergence and Equivalence Results for the Jensen's Inequality—Application to Time-Delay and Sampled-Data Systems
- Stability criteria for continuous‐time systems with additive time‐varying delays
- Stability of time-delay systems