Technical communique: Stability and robust stability for systems with a time-varying delay

By PooGyeon Park, J. Ko. 2007

482 citations recorded by the source corpus.

Subfields: Computer Networks and Communications, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/c0ea17b69971370f87484ffd940186eaa07205f0

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computer Networks and Communications

1. Yong He
2. Min Wu
3. Hongbing Zeng
4. Jinhua She
5. Lin Jiang
6. Qing‐Guo Wang
7. Chuan‐Ke Zhang
8. Shumin Fei

In Control and Systems Engineering

1. Yong He
2. Min Wu
3. Hongbing Zeng
4. Jinhua She
5. Lin Jiang
6. Chuan‐Ke Zhang
7. Qing‐Guo Wang
8. James Lam

Citations in the corpus

• Stability analysis of systems with time-varying delay via relaxed integral inequalities (2016, methodology): “• Compared with the criteria obtained by different inequalities (Jensen inequality [27], Wirtinger-based inequality [9], freematrix-based inequality [18]), the new type of LKF [8], and the augmented systemmodel [41], the proposed Theorem 2.”
• Further Improvement on Delay-Dependent Load Frequency Control of Power Systems via Truncated B–L Inequality (2018, methodology): “The key elements mainly lie in the techniques of constructing L-K functional, such as delay-division functional, and functional including the ones with triple-integral terms [13], and the analysing methods for estimating the derivatives of L-K functionals with respect to time, such as improved major”
• An extended reciprocally convex matrix inequality for stability analysis of systems with time-varying delay (2017, background): “The free-matrixbased inequality can lead to convex conditions, which can be treated by the convex combination technique [18], by adding many slack matrices.”
• Free-Matrix-Based Integral Inequality for Stability Analysis of Systems With Time-Varying Delay (2015, background): “Table III shows that the maximum admissible upper bounds obtained by Theorem 1 and Corollary 1 for various μ are larger than those in [15] and [22].”
• Stability analysis of linear systems with two additive time-varying delays via delay-product-type Lyapunov functional (2017, methodology): “By using the convex combination technique [25] and following the same proof procedure in [26] [proof of Theorem 1 therein], the condition Ω0 < 0 holds if the following LMI-based conditions hold”
• New results on stability analysis for systems with discrete distributed delay (2015, methodology): “In contrast, the Lyapunov–Krasovskii functional method can handle these systems and has thus attracted much attention in the field of control engineering (see Kim, 2011; Park & Ko, 2007; Sun, Liu, Chen, & Rees, 2010).”