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Automatica (Oxford), ISSN 0005-1098, 08/2015, Volume 58, pp. 39 - 42
Lyapunov equations that depend on communication graph topologies provide building blocks of Lyapunov functions, which play an important role in controller design and stability analysis of multi-agent systems... 
Graph dependent Lyapunov equation | Multi-agent system | Nonnegative graph | Lyapunov function | Engineering, Electrical & Electronic | Engineering | Automation & Control Systems | Technology | Science & Technology
Journal Article
IEEE transactions on automatic control, ISSN 1558-2523, 08/2017, Volume 62, Issue 8, pp. 3861 - 3876
...-expressed as control barrier functions-to be unified with performance objectives-expressed as control Lyapunov functions-in the context of real-time optimization-based controllers... 
Electrical engineering | set invariance | nonlinear control | control Lyapunov function | Barrier function | Safety | Electronic mail | quadratic program | Lyapunov methods | Cruise control | Automotive engineering | safety | Engineering, Electrical & Electronic | Engineering | Automation & Control Systems | Technology | Science & Technology | Automobile engineering | Adaptive control | Research
Journal Article
Automatica (Oxford), ISSN 0005-1098, 04/2016, Volume 66, pp. 39 - 47
Journal Article
Automatica (Oxford), ISSN 0005-1098, 04/2013, Volume 49, Issue 4, pp. 1058 - 1067
Journal Article
Automatica (Oxford), ISSN 0005-1098, 03/2020, Volume 113, p. 108758
We study convergence of nonlinear systems in the presence of an “almost Lyapunov” function which, unlike the classical Lyapunov function, is allowed to be nondecreasing... 
Nonlinear systems | Stability | Lyapunov functions | Engineering, Electrical & Electronic | Engineering | Automation & Control Systems | Technology | Science & Technology
Journal Article
2011, Princeton series in applied mathematics, ISBN 9780691153469, xv, 371
... function methods, vector dissipativity theory, and decentralized control architectures. 
Lyapunov stability | Dynamics | Energy dissipation | Large scale systems | MATHEMATICS | Numerical Analysis | General | Linear & Nonlinear Programming | Differential Equations | Applied | Optimization | Mathematics
Book
Communications in nonlinear science & numerical simulation, ISSN 1007-5704, 09/2014, Volume 19, Issue 9, pp. 2951 - 2957
Journal Article
IEEE transactions on automatic control, ISSN 0018-9286, 07/2007, Volume 52, Issue 7, pp. 1264 - 1277
... and a characterization of such stability in terms of a smooth Lyapunov function. This result unifies and generalizes previous results for differential and difference inclusions with outer semicontinuous and locally bounded right-hand sides... 
Chaos | Robust stability | Hybrid inclusions | Lyapunov method | Control systems | Displays | State-space methods | Robust control | smooth Lyapunov functions | Asymptotic stability | measures | hybrid systems | Robustness | Control theory | stability | Hybrid systems | Stability | Measures | Smooth Lyapunov functions | Engineering, Electrical & Electronic | Engineering | Automation & Control Systems | Technology | Science & Technology | Robust statistics | Liapunov functions | Usage | Analysis | Lyapunov functions | Equivalence | Automatic control | Dynamical systems | Regularity
Journal Article
Discrete and continuous dynamical systems. Series B, ISSN 1531-3492, 10/2015, Volume 20, Issue 8, pp. 2291 - 2331
Lyapunov functions are an essential tool in the stability analysis of dynamical systems, both in theory and applications... 
Basin of attraction | Stability | Numerical method | Dynamical system | Contraction metric | Converse theorem | Lyapunov function | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology
Journal Article
Journal Article
IEEE transactions on automatic control, ISSN 1558-2523, 03/2011, Volume 56, Issue 3, pp. 703 - 707
Journal Article
IEEE transactions on automatic control, ISSN 0018-9286, 05/2012, Volume 57, Issue 5, pp. 1285 - 1291
... ∞ control problem for individual subsystems is unnecessary. Using the generalized multiple Lyapunov functions method and the adding a power integrator technique... 
Switched systems | State feedback | p -normal form | Switches | H_{\infty} control | Linear matrix inequalities | Nonlinear systems | power integrator | Lyapunov methods | multiple Lyapunov functions | control | switched systems | Liapunov functions | Technology application | Usage | Innovations | Control systems | Differential equations, Partial | Mathematical optimization
Journal Article
IEEE transactions on fuzzy systems, ISSN 1941-0034, 12/2015, Volume 23, Issue 6, pp. 1943 - 1957
Journal Article