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Everything about Nonlinear system
System where changes of output are not proportional to changes of input
In mathematics and science, a nonlinear system is a system in which the change of the output is not proportional to the change of the input. Nonlinear problems are of interest to engineers, biologists, physicists, mathematicians, and many other scientists since most systems are inherently nonlinear in nature. Nonlinear dynamical systems, describing changes in variables over time, may appear chaotic, unpredictable, or counterintuitive, contrasting with much simpler linear systems. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Nonlinear systemA 5-minute orientation
- Skim a recent paper: Observer-Based Neuro-Adaptive Optimized Control of Strict-Feedback Nonlinear Systems With State ConstraintsInfluential work since 2022
- Pick up a classic book: ChaosThe most-reprinted book on the subject
- Read the landmark paper: Nonlinear system identificationCited 52 times
- Go sideways: EquationA closely related topic
- Go sideways: Differential equationA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
Nonlinear system identification
Nonlinear System Identification
Nonlinear diffusion waves for hyperbolic p-system with nonlinear damping
Reasoning about nonlinear system identification
Graphical Nonlinear System Analysis
Symmetrizing Nonlinear Elastodynamic System
Nonlinear-Adaptive Mathematical System Identification
Time-series-based nonlinear system identification of strongly nonlinear attachments
🆕 Influential since 2022
Observer-Based Neuro-Adaptive Optimized Control of Strict-Feedback Nonlinear Systems With State Constraints
Command Filter-Based Adaptive Fuzzy Finite-Time Output Feedback Control of Nonlinear Electrohydraulic Servo System
Security-Based Fuzzy Control for Nonlinear Networked Control Systems With DoS Attacks via a Resilient Event-Triggered Scheme
Event-Based Finite-Time Control for Nonlinear Multiagent Systems With Asymptotic Tracking
Adaptive Prescribed-Time Control for a Class of Uncertain Nonlinear Systems
📚 Books worth reading
ChaosJames Gleick · 1987
Nonlinear dynamics and ChaosSteven H. Strogatz, Steven Strogatz · 1994- 📕Nonlinear Systems and Their Remarkable Mathematical StructuresNorbert Euler · 2018
Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector FieldsJohn Guckenheimer, Philip Holmes · 1983
Differential Equations and Dynamical SystemsLawrence Perko · 1991
Stable adaptive control and estimation for nonlinear systemsJeffrey T. Spooner, Manfredi Maggiore · 2001- 📕Linear and Non-Linear System TheoryT. Thyagarajan, D. Kalpana · 2020
- 📕Adaptive and Fault-Tolerant Control of Underactuated Nonlinear SystemsJiangshuai Huang, Yongduan Song · 2017
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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