Limit Cycles in Hybrid Dynamical Systems with Constant Derivatives: General Theory

2000 ◽  
pp. 219-268
Author(s):  
Alexey S. Matveev ◽  
Andrey V. Savkin
Keyword(s):  
Dynamical Systems ◽  
General Theory ◽  
Limit Cycles ◽  
Hybrid Dynamical Systems

scholarly journals Robust Stability of Hybrid Limit Cycles With Multiple Jumps in Hybrid Dynamical Systems

2018 ◽  
Vol 63 (4) ◽  
pp. 1220-1226 ◽  
Author(s):  
Xuyang Lou ◽  
Yuchun Li ◽  
Ricardo G. Sanfelice
Keyword(s):  
Dynamical Systems ◽  
Robust Stability ◽  
Limit Cycles ◽  
Hybrid Dynamical Systems

Discontinuity-induced bifurcations of piecewise smooth dynamical systems

2010 ◽  
Vol 368 (1930) ◽  
pp. 4915-4935 ◽  
Author(s):  
M. di Bernardo ◽  
S. J. Hogan
Keyword(s):  
Phase Space ◽  
Dynamical Systems ◽  
Fixed Points ◽  
Limit Cycles ◽  
State Of The Art ◽  
Piecewise Smooth ◽  
Hybrid Dynamical Systems ◽  
Current State ◽  
Relevant Class

This paper presents an overview of the current state of the art in the analysis of discontinuity-induced bifurcations (DIBs) of piecewise smooth dynamical systems, a particularly relevant class of hybrid dynamical systems. Firstly, we present a classification of the most common types of DIBs involving non-trivial interactions of fixed points and equilibria of maps and flows with the manifolds in phase space where the system is non-smooth. We then analyse the case of limit cycles interacting with such manifolds, presenting grazing and sliding bifurcations. A description of possible classification strategies to predict and analyse the scenarios following such bifurcations is also discussed, with particular attention to those methodologies that can be applied to generic n -dimensional systems.

Limit Cycles in a Class of Hybrid Dynamical Systems

2002 ◽  
Vol 15 (2) ◽  
pp. 120-144 ◽  
Author(s):  
Alexey S. Matveev ◽  
Andrey V. Savkin
Keyword(s):  
Dynamical Systems ◽  
Limit Cycles ◽  
Hybrid Dynamical Systems

scholarly journals The Salted Kalman Filter: Kalman filtering on hybrid dynamical systems

Automatica ◽  
2021 ◽  
Vol 131 ◽  
pp. 109752
Author(s):  
Nathan J. Kong ◽  
J. Joe Payne ◽  
George Council ◽  
Aaron M. Johnson
Keyword(s):  
Kalman Filter ◽  
Dynamical Systems ◽  
Kalman Filtering ◽  
Hybrid Dynamical Systems
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