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1. Stability domains
by Gruĭich, L. T. (Li͡ubomir Tikhomira)
2004, Nonlinear systems in aviation aerospace aeronautics astronautics, ISBN 0415308488, Volume 1, xx, 309
Nonlinear systems | Stability | Lyapunov functions
Book
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2. Stability of motions
: the role of multicomponent Liapunov's functions
by Martyni͡uk, A. A. (Anatoliĭ Andreevich)
2007, Stability, Oscillations and Optimizations of Systems, ISBN 9781904868453, Volume 1, xviii, 322
Lyapunov functions | Lyapunov stability
Book
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3. 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 and Mathematics with Applications, ISSN 0898-1221, 2010, Volume 59, Issue 5, pp. 1810 - 1821
Stability of fractional-order nonlinear dynamic systems is studied using Lyapunov direct method with the introductions of Mittag–Leffler stability and... 
Nonautonomous system | Fractional Lyapunov direct method | Fractional comparison principle | Generalized Mittag–Leffler stability | Fractional-order dynamic system | Generalized Mittag-Leffler stability | MATHEMATICS, APPLIED | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS
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4. Hybrid dynamical systems
: modeling, stability, and robustness
by Goebel, Rafal and Teel, Andrew R., 1965 and Sanfelice, Ricardo G
2012, ISBN 0691153892, xi, 212
Hybrid dynamical systems exhibit continuous and instantaneous changes, having features of continuous-time and discrete-time dynamical systems. Filled with a... 
Nonlinear control theory | Lyapunov functions | Hybrid systems | Mathematics | Automatic control | Dynamics | Control theory
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5. 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
In this paper, novel stability conditions for Takagi-Sugeno (T-S) fuzzy systems are presented. The so-called nonquadratic membership-dependent Lyapunov... 
membership-dependent | Takagi-Sugeno (T-S) fuzzy system | Stability criteria | Educational institutions | Vectors | Polynomials | stability | Lyapunov methods | Fuzzy systems | Lyapunov function | CONTROL DESIGN | TIME | STABILIZATION CONDITIONS | LYAPUNOV FUNCTION-APPROACH | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | RELAXED STABILITY | ENGINEERING, ELECTRICAL & ELECTRONIC | H-INFINITY CONTROL | LMI APPROACH | NONLINEAR-SYSTEMS | SINGULARLY PERTURBED SYSTEMS | DELAY | Mathematical models | Lyapunov functions | Stability | Criteria | Mathematical analysis
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6. 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, ISSN 0925-2312, 07/2015, Volume 160, pp. 185 - 190
Gene regulatory networks have attracted much attention, and the networks with integer-order have been well studied. Fractional-order gene regulatory networks... 
Fractional-order | Generalized Mittag–Leffler stability | Gene regulatory networks | Mittag–Leffler stability | Mittag-Leffler stability | Generalized Mittag-Leffler stability | SYSTEM | SYNCHRONIZATION | NEURAL-NETWORKS | ROBUST STABILITY | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | Genetic research | Genes | Analysis
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7. 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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8. Stability and control of large-scale dynamical systems
: a vector dissipative systems approach
by Haddad, Wassim M
2011, Princeton series in applied mathematics, ISBN 9780691153469, cm.
Modern complex large-scale dynamical systems exist in virtually every aspect of science and engineering, and are associated with a wide variety of physical,... 
Technology: General Issues | Lyapunov stability | MATHEMATICS | Numerical Analysis | General | Linear & Nonlinear Programming | Differential Equations | Applied | Optimization | Mathematics | Energy dissipation | Dynamics | Large scale systems
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9. 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
This paper studies the stability problem of Yang–Chen system. By introducing different radial unbounded Lyapunov functions in different regions, global... 
Lyapunov stability | Yang–Chen system | Global exponential attractive set | Lagrange stability | Branch | MATHEMATICS, APPLIED | LURE SYSTEMS | Yang-Chen system | SECTOR | ATTRACTOR
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10. Stochastic stability of differential equations
by Khasʹminskiĭ, R. Z. (Rafail Zalmanovich) and Milʹshteĭn, G. N. (Grigoriĭ Noĭkhovich) and Nevelson, M. B
2012, Completely rev. and enl. 2nd ed., Stochastic modelling and applied probability, ISBN 9783642232794, Volume 66, xvii, 339
Since the publication of the first edition of the present volume in 1980, the stochastic stability of differential equations has become a very popular subject... 
Stochastic differential equations | Lyapunov exponents | Qualitative theory | Differential equations | Mathematics | Stochastic systems | Mechanics | Probability Theory and Stochastic Processes
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11. Stability of nonautonomous differential equations
by Barreira, Luis, 1968 and Valls, Claudia
2008, Lecture notes in mathematics, ISBN 9783540747741, Volume 1926, xiv, 285
Differential equations | Lyapunov stability | Dynamical Systems and Ergodic Theory | Mathematics | Ordinary Differential Equations
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12. 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, ISSN 0005-1098, 10/2017, Volume 84, pp. 221 - 226
This paper is concerned with stability of a linear system with a time-varying delay. First, an improved reciprocally convex inequality including some existing... 
Time-delay systems | Stability | Lyapunov–Krasovskii functional | Reciprocally convex inequality | CRITERIA | Lyapunov-Krasovskii functional | AUTOMATION & CONTROL SYSTEMS | DEPENDENT STABILITY | INTEGRAL INEQUALITY | ENGINEERING, ELECTRICAL & ELECTRONIC | Equality | Electrical engineering
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13. Stability of motion
by L︠i︡apunov, A. M
1966, Mathematics in science and engineering, Volume 30., xi, 203
Lyapunov functions
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14. Practical bifurcation and stability analysis
: from equilibrium to chaos
by Seydel, R
1994, 2nd ed., Interdisciplinary applied mathematics, ISBN 0387943161, Volume 5., xv, 407
Bifurcation theory | Stability
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15. Exotic attractors
: from Liapunov stability to riddled basins
by Buescu, Jorge
1997, Progress in mathematics, ISBN 3764357932, Volume 153., xiii, 130
Attractors (Mathematics)
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16. Flight stability and control
by Hacker, Tiberiu
1970, Modern analytic and computational methods in science and mathematics, ISBN 9780444000668, Volume 23, 325
Stability of airplanes
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17. Full Text Mittag–Leffler stability of fractional order nonlinear dynamic systems
by Li, Yan and Chen, YangQuan and Podlubny, Igor
Automatica, ISSN 0005-1098, 2009, Volume 45, Issue 8, pp. 1965 - 1969
In this paper, we propose the definition of Mittag–Leffler stability and introduce the fractional Lyapunov direct method. Fractional comparison principle is... 
Nonautonomous system | Fractional Lyapunov direct method | Fractional comparison principle | Fractional order dynamic system | Mittag–Leffler stability | Mittag-Leffler stability | CALCULUS | DERIVATIVES | AUTOMATION & CONTROL SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC | Analysis | Universities and colleges | Nonlinear dynamics | Automation | Stability | Dynamical systems
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18. Full Text Stability analysis of Caputo–like discrete fractional systems
by Baleanu, Dumitru and Wu, Guo–Cheng and Bai, Yun–Ru and Chen, Fu–Lai
Communications in Nonlinear Science and Numerical Simulation, ISSN 1007-5704, 07/2017, Volume 48, pp. 520 - 530
This study investigates stability of Caputo delta fractional difference equations. Solutions’ monotonicity and asymptotic stability of a linear fractional... 
Asymptotic stability | Caputo–like delta difference | Fractional difference equations | Monotonicity | MATHEMATICS, APPLIED | Caputo-like delta difference | LYAPUNOV FUNCTIONS | PHYSICS, FLUIDS & PLASMAS | BOUNDARY-VALUE-PROBLEMS | NETWORKS | PHYSICS, MATHEMATICAL | SYNCHRONIZATION | CHAOS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | EQUATION | Information science | Analysis | Control systems
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19. Full Text Stability Criteria for Switched and Hybrid Systems
by Robert Shorten and Fabian Wirth and Oliver Mason and Kai Wulff and Christopher King
SIAM Review, ISSN 0036-1445, 12/2007, Volume 49, Issue 4, pp. 545 - 592
The study of the stability properties of switched and hybrid systems gives rise to a number of interesting and challenging mathematical problems. The objective... 
Linear systems | Liapunov functions | Sufficient conditions | Algebra | Automats | Eigenvalues | Hybrid systems | Matrices | Dynamical systems | Survey and Review | Switched systems | Stability | Stability radii | Lur'e problem | Common quadratic Lyapunov functions | Growth rates | Converse Lyapunov theorem | Dwell-time | MATHEMATICS, APPLIED | growth rates | GENERALIZED SPECTRAL-RADIUS | stability radii | STABLE LTI SYSTEMS | TIME-VARYING SYSTEMS | common quadratic Lyapunov functions | hybrid systems | PIECEWISE-LINEAR SYSTEMS | switched systems | LASALLES INVARIANCE-PRINCIPLE | NONLINEAR NONSTATIONARY SYSTEMS | INPUT-OUTPUT STABILITY | dwell-time | ABSOLUTE STABILITY | converse Lyapunov theorem | DISSIPATIVE DYNAMICAL-SYSTEMS | stability | QUADRATIC LYAPUNOV FUNCTIONS | Theorems (Mathematics) | Analysis | Tests, problems and exercises
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20. The stability of dynamical systems
by LaSalle, Joseph P
1976, Regional conference series in applied mathematics, Volume 25, 76
Difference equations | Stability | Differential equations
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