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1. Hybrid dynamical systems
: modeling, stability, and robustness
by Goebel, Rafal and Teel, Andrew R., 1965 and Sanfelice, Ricardo G
2012, ISBN 0691153892, xi, 212
Nonlinear control theory | Lyapunov functions | Mathematics | Automatic control | Dynamics | Control theory | Hybrid systems
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2. Full Text Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag–Leffler stability
by Li, Yan and Chen, YangQuan and Podlubny, Igor
Computers & mathematics with applications (1987), ISSN 0898-1221, 2010, Volume 59, Issue 5, pp. 1810 - 1821
Nonautonomous system | Fractional Lyapunov direct method | Fractional comparison principle | Generalized Mittag–Leffler stability | Fractional-order dynamic system | Generalized Mittag-Leffler stability | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology
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3. Full Text Novel Stability Criteria for T--S Fuzzy Systems
by Xudong Zhao and Lixian Zhang and Peng Shi and Karimi, Hamid Reza
IEEE transactions on fuzzy systems, ISSN 1063-6706, 04/2014, Volume 22, Issue 2, pp. 313 - 323
membership-dependent | Takagi-Sugeno (T-S) fuzzy system | Stability criteria | Educational institutions | Vectors | Polynomials | stability | Lyapunov methods | Fuzzy systems | Lyapunov function | Engineering, Electrical & Electronic | Engineering | Computer Science, Artificial Intelligence | Technology | Computer Science | Science & Technology | Mathematical models | Lyapunov functions | Stability | Criteria | Mathematical analysis
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4. Full Text Mittag–Leffler stability of fractional order nonlinear dynamic systems
by Li, Yan and Chen, YangQuan and Podlubny, Igor
Automatica (Oxford), ISSN 0005-1098, 2009, Volume 45, Issue 8, pp. 1965 - 1969
Nonautonomous system | Fractional Lyapunov direct method | Fractional comparison principle | Fractional order dynamic system | Mittag–Leffler stability | Mittag-Leffler stability | Applied sciences | Control theory. Systems | Control system analysis | Exact sciences and technology | Computer science; control theory; systems | Analysis | Universities and colleges | Nonlinear dynamics | Automation | Stability | Dynamical systems
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5. Full Text Mittag–Leffler stability and generalized Mittag–Leffler stability of fractional-order gene regulatory networks
by Ren, Fengli and Cao, Feng and Cao, Jinde
Neurocomputing (Amsterdam), ISSN 0925-2312, 07/2015, Volume 160, pp. 185 - 190
Fractional-order | Generalized Mittag–Leffler stability | Gene regulatory networks | Mittag–Leffler stability | Mittag-Leffler stability | Generalized Mittag-Leffler stability | Computer Science, Artificial Intelligence | Technology | Computer Science | Science & Technology | Genetic research | Genes | Analysis
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6. Full Text An improved reciprocally convex inequality and an augmented Lyapunov–Krasovskii functional for stability of linear systems with time-varying delay
by Zhang, Xian-Ming and Han, Qing-Long and Seuret, Alexandre and Gouaisbaut, Frédéric
Automatica (Oxford), ISSN 0005-1098, 10/2017, Volume 84, pp. 221 - 226
Time-delay systems | Stability | Lyapunov–Krasovskii functional | Reciprocally convex inequality | Engineering, Electrical & Electronic | Engineering | Automation & Control Systems | Technology | Science & Technology | Equality | Electrical engineering
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7. Full Text Constructive proof of Lagrange stability and sufficient – Necessary conditions of Lyapunov stability for Yang–Chen chaotic system
by Liao, Xiaoxin and Zhou, Guopeng and Yang, Qigui and Fu, Yuli and Chen, Guanrong
Applied mathematics and computation, ISSN 0096-3003, 09/2017, Volume 309, pp. 205 - 221
Lyapunov stability | Yang–Chen system | Global exponential attractive set | Lagrange stability | Branch | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology
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8. Full Text Overview of recent advances in stability of linear systems with time-varying delays
by Zhang, Xian-Ming and Han, Qing-Long and Seuret, Alexandre and Gouaisbaut, Frédéric and He, Yong
IET control theory & applications, ISSN 1751-8644, 1/2019, Volume 13, Issue 1, pp. 1 - 16
Review Article | augmented Lyapunov‐Krasovskii functionals | delay systems | delays | time‐varying delays | stability criteria | time‐varying systems | linear systems | canonical Bessel–Legendre inequalities | reciprocally convex approach | Lyapunov methods | delay convex analysis approach | Engineering, Electrical & Electronic | Engineering | Automation & Control Systems | Technology | Instruments & Instrumentation | Science & Technology | Engineering Sciences | Automatic
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9. Uncertain dynamical systems
: stability and motion control
by Martyni͡uk, A. A. (Anatoliĭ Andreevich) and Martynyuk, Yu. A
2012, Monographs and textbooks in pure and applied mathematics, ISBN 1439876851, Volume 302, xiii, 296
Lyapunov stability | Lyapunov functions | Control theory | Differentiable dynamical systems
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10. Stability and control of large-scale dynamical systems
: a vector dissipative systems approach
by Haddad, Wassim M., 1961 and Nersesov, Sergey G., 1976
2011, Princeton series in applied mathematics, ISBN 9780691153469, xv, 371
Lyapunov stability | Dynamics | Energy dissipation | Large scale systems | MATHEMATICS | Numerical Analysis | General | Linear & Nonlinear Programming | Differential Equations | Applied | Optimization | Mathematics
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11. Full Text Stability analysis of systems with time-varying delays via the second-order Bessel–Legendre inequality
by Liu, Kun and Seuret, Alexandre and Xia, Yuanqing
Automatica (Oxford), ISSN 0005-1098, 02/2017, Volume 76, Issue 2, pp. 138 - 142
Lyapunov method | Time-varying delays | Integral inequality | Engineering, Electrical & Electronic | Engineering | Automation & Control Systems | Technology | Science & Technology | Analysis | Equality | Engineering Sciences | Automatic
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12. Full Text Hierarchy of LMI conditions for the stability analysis of time-delay systems
by Seuret, A and Gouaisbaut, F
Systems & control letters, ISSN 0167-6911, 07/2015, Volume 81, pp. 1 - 7
Time-delay systems | Jensen’s inequality | Stability analysis | Lyapunov–Krasovskii functionals | Bessel’s inequality | Jensen's inequality | Bessel's inequality | Lyapunov-Krasovskii functionals | Operations Research & Management Science | Automation & Control Systems | Technology | Science & Technology | Engineering Sciences | Automatic
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