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1. Full Text H Control of Switched Nonlinear Systems in p-Normal Form Using Multiple Lyapunov Functions
by Lijun Long and Jun Zhao
IEEE transactions on automatic control, ISSN 0018-9286, 05/2012, Volume 57, Issue 5, pp. 1285 - 1291
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 | Control system synthesis | Applied sciences | Control theory. Systems | System theory | Exact sciences and technology | Computer science; control theory; systems | Liapunov functions | Technology application | Usage | Innovations | Control systems | Differential equations, Partial | Mathematical optimization
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2. Full Text Strict Lyapunov Functions for the Super-Twisting Algorithm
by Moreno, J. A and Osorio, M
IEEE transactions on automatic control, ISSN 0018-9286, 04/2012, Volume 57, Issue 4, pp. 1035 - 1040
second order sliding modes (SOSM) | Symmetric matrices | Lyapunov functions | Observers | Robustness | Discontinuous systems | Trajectory | robust observers | Lyapunov methods | Convergence | Engineering, Electrical & Electronic | Engineering | Automation & Control Systems | Technology | Science & Technology | Control system analysis | Exact sciences and technology | Control system synthesis | Applied sciences | Control theory. Systems | Modelling and identification | Adaptative systems | Computer science; control theory; systems | Robust statistics | Liapunov functions | Euclidean geometry | Usage | Perturbation (Mathematics) | Analysis | Innovations | Geometry, Plane | Sliding mode control | Geometry, Solid
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3. Full Text Rapidly Exponentially Stabilizing Control Lyapunov Functions and Hybrid Zero Dynamics
by Ames, Aaron D and Galloway, Kevin and Sreenath, Koushil and Grizzle, Jessy W
IEEE transactions on automatic control, ISSN 0018-9286, 04/2014, Volume 59, Issue 4, pp. 876 - 891
Manifolds | Legged locomotion | Context | Bipeds | Lyapunov functions | nonlinear control | robotics | Orbits | Lyapunov methods | Convergence | Engineering, Electrical & Electronic | Engineering | Automation & Control Systems | Technology | Science & Technology | Liapunov functions | Usage | Stability | Analysis | Innovations | Control systems | Mathematical optimization | Robots | Walking | Impulses | Dynamics | Dynamical systems | Invariants
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4. Full Text Smooth Lyapunov Functions for Hybrid Systems Part II: (Pre)Asymptotically Stable Compact Sets
by Chaohong Cai and Goebel, R and Teel, A.R
IEEE transactions on automatic control, ISSN 0018-9286, 04/2008, Volume 53, Issue 3, pp. 734 - 748
Chaos | Robust control | smooth Lyapunov functions | Asymptotic stability | Robust stability | hybrid systems | Lyapunov method | Nonlinear control systems | Control systems | Robustness | Feedback control | Logic | Hybrid systems | Smooth Lyapunov functions | Engineering, Electrical & Electronic | Engineering | Automation & Control Systems | Technology | Science & Technology | Applied sciences | Control theory. Systems | Exact sciences and technology | Computer science; control theory; systems | Liapunov functions | Evaluation | Stability | Feedback control systems | Systems theory | Design and construction | Research | Theorems | Lyapunov functions | Equivalence | Asymptotic properties | Insertion
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5. Full Text Corrigendum to “Lyapunov functions for a class of nonlinear systems using caputo derivative” [Commun Nonlinear Sci Numer Simulat 43 (2017) 91–99]
by Fernández-Anaya, G and Nava-Antonio, G and Jamous-Galante, J and Muñoz-Vega, R and Hernández-Martínez, E.G
Communications in nonlinear science & numerical simulation, ISSN 1007-5704, 03/2018, Volume 56, pp. 596 - 597
Liapunov functions | Nonlinear systems
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6. Method of variation of parameters for dynamic systems
by Lakshmikantham, V and Deo, Sadashiv G
1998, Series in mathematical analysis and applications, ISBN 9056991604, Volume 1., viii, 317
Lyapunov functions | Control theory | System analysis | Differential equations
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7. Full Text Stability Analysis via Averaging Functions
by Pogromsky, A. Yu and Matveev, A. S
IEEE transactions on automatic control, ISSN 0018-9286, 04/2016, Volume 61, Issue 4, pp. 1081 - 1086
Linear systems | Linear matrix inequalities | Stability criteria | Nonlinear systems | Frequency synchronization | Lyapunov methods | nonlinear systems | stability criteria | Electrical and Electronic Engineering | Computer Science Applications | Control and Systems Engineering | Engineering, Electrical & Electronic | Engineering | Automation & Control Systems | Technology | Science & Technology | Average | Liapunov functions | Usage | Nonlinear dynamics | Lyapunov functions | Stability | Amplitudes | Automatic control | Criteria | Dynamical systems | Oscillators
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8. Full Text The Aronsson Equation, Lyapunov Functions, and Local Lipschitz Regularity of the Minimum Time Function
by Soravia, Pierpaolo
Abstract and applied analysis, ISSN 1085-3375, 12/2019, Volume 2019, pp. 1 - 9
Manifolds | Liapunov functions | Time functions | Linear equations | Fields (mathematics) | Closed loops | Continuity (mathematics)
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9. Full Text Linear Copositive Lyapunov Functions for Continuous-Time Positive Switched Systems
by Fornasini, Ettore and Valcher, Maria Elena
IEEE transactions on automatic control, ISSN 0018-9286, 08/2010, Volume 55, Issue 8, pp. 1933 - 1937
Linear systems | Biological system modeling | Chemical engineering | Switches | Lyapunov method | Stability analysis | Feedback control | linear (quadratic) copositive Lyapunov function | Switched systems | Asymptotic stability | positive linear system | switched system | Mathematical model | Kernel | Engineering, Electrical & Electronic | Engineering | Automation & Control Systems | Technology | Science & Technology | Control system synthesis | Applied sciences | Control theory. Systems | System theory | Exact sciences and technology | Computer science; control theory; systems | Liapunov functions | Usage | Asymptotes | Analysis | Control systems | Design and construction | Automatic control | Lyapunov functions | Laws | Switching
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10. Full Text On quadratic Lyapunov functions
by Daizhan Cheng and Lei Guo and Jie Huang
IEEE transactions on automatic control, ISSN 0018-9286, 05/2003, Volume 48, Issue 5, pp. 885 - 890
Switched systems | Nonlinear equations | Regulators | Transmission line matrix methods | Automatic control | Lyapunov method | Nonlinear control systems | MIMO | Servomechanisms | Nonlinear systems | Stabilization | Switched system | Common quadratic Lyapunov function (QLF) | Engineering, Electrical & Electronic | Engineering | Automation & Control Systems | Technology | Science & Technology | Applied sciences | Control theory. Systems | General | Miscellaneous | Exact sciences and technology | Computer science; control theory; systems | Liapunov functions | Quadratic functions | Research | Linear systems | Lyapunov functions | Integrals | Mathematical analysis | Blocking | Matrices | Matrix methods
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11. 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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12. Full Text Weighted Fuzzy Observer-Based Fault Detection Approach for Discrete-Time Nonlinear Systems via Piecewise-Fuzzy Lyapunov Functions
by Linlin Li and Ding, Steven X and Jianbin Qiu and Ying Yang and Yong Zhang
IEEE transactions on fuzzy systems, ISSN 1063-6706, 12/2016, Volume 24, Issue 6, pp. 1320 - 1333
Linear systems | Fault detection | fuzzy dynamic modeling technique | piecewise-fuzzy Lyapunov functions | Integrated design | observer-based fault detection (FD) | Generators | Yttrium | Nonlinear systems | Discrete-time nonlinear systems | Lyapunov methods | Engineering, Electrical & Electronic | Engineering | Computer Science, Artificial Intelligence | Technology | Computer Science | Science & Technology | Piecewise | Liapunov functions | Discrete time systems | Fuzzy systems
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13. Full Text A Lyapunov Function for Economic Optimizing Model Predictive Control
by Diehl, M and Amrit, R and Rawlings, J B
IEEE transactions on automatic control, ISSN 0018-9286, 03/2011, Volume 56, Issue 3, pp. 703 - 707
Economics | Asymptotic stability | unreachable setpoint | Biological system modeling | Lyapunov method | Cost function | economic cost function | Steady-state | Zinc | model predictive control (MPC) | Engineering, Electrical & Electronic | Engineering | Automation & Control Systems | Technology | Science & Technology | Applied sciences | Control theory. Systems | Modelling and identification | Optimal control | Exact sciences and technology | Computer science; control theory; systems | Asymptotic expansions | Liapunov functions | Usage | Mathematical optimization | Analysis | Methods | Studies | Mathematical models | Nonlinear dynamics | Lyapunov functions | Asymptotic properties | Dynamical systems | Steady state | Cost engineering | Optimization
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14. Full Text Nonlinear Scaling of (i)ISS-Lyapunov Functions
by Kellett, Christopher M and Wirth, Fabian R
IEEE transactions on automatic control, ISSN 0018-9286, 04/2016, Volume 61, Issue 4, pp. 1087 - 1092
Linear systems | Asymptotic stability | Stability criteria | Input-to-State Stability (ISS) | Nonlinear Scalings | Heart rate variability | Nonlinear systems | Standards | Lyapunov methods | nonlinear scalings | Engineering, Electrical & Electronic | Engineering | Automation & Control Systems | Technology | Science & Technology | Liapunov functions | Usage | Analysis | Automatic control | Nonlinearity | Lyapunov functions | Integrals | Dissipation
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15. Full Text Smooth Lyapunov Functions for Hybrid Systems-Part I: Existence Is Equivalent to Robustness
by Chaohong Cai and Teel, A.R and Goebel, R
IEEE transactions on automatic control, ISSN 0018-9286, 07/2007, Volume 52, Issue 7, pp. 1264 - 1277
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 | Applied sciences | Control theory. Systems | Exact sciences and technology | Computer science; control theory; systems | Robust statistics | Liapunov functions | Usage | Analysis | Lyapunov functions | Equivalence | Automatic control | Dynamical systems | Regularity
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16. Full Text Chaotic synchronization of memristive neurons: Lyapunov function versus Hamilton function
by Yamakou, Marius E
Nonlinear dynamics, ISSN 0924-090X, 07/2020, Volume 101, Issue 1, pp. 487 - 500
Mechanics | Engineering | Technology | Engineering, Mechanical | Science & Technology | Liapunov functions | Mathematical models | Stability | Parameters | Bursting | Synchronism
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17. Full Text Distributed Coordination Control for Multi-Robot Networks Using Lyapunov-Like Barrier Functions
by Panagou, Dimitra and Stipanovic, Dusan M and Voulgaris, Petros G
IEEE transactions on automatic control, ISSN 0018-9286, 03/2016, Volume 61, Issue 3, pp. 617 - 632
Robot sensing systems | Encoding | Control design | Safety | Collision avoidance | Convergence | Nagumo's theorem | Lyapunov | Engineering, Electrical & Electronic | Engineering | Automation & Control Systems | Technology | Science & Technology | Liapunov functions | Fuzzy sets | Set theory | Usage | Approximation theory | Conflict resolution | Networks | Constraints | Effectiveness | Barriers | Automatic control | Maintenance | Design analysis
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