scholarly journals Sufficient conditions for the existence of zeno behavior in a class of nonlinear hybrid systems via constant approximations

2007 ◽  
Author(s):  
Aaron D. Ames ◽  
Alessandro Abate ◽  
Shankar Sastry
Keyword(s):  
Hybrid Systems ◽  
Sufficient Conditions ◽  
Zeno Behavior ◽  
Nonlinear Hybrid

scholarly journals Asymptotic Stabilizability of a Class of Stochastic Nonlinear Hybrid Systems

2015 ◽  
Vol 2015 ◽  
pp. 1-9
Author(s):  
Ewelina Seroka
Keyword(s):  
Lyapunov Function ◽  
Hybrid Systems ◽  
Hybrid Control ◽  
Sufficient Conditions ◽  
Feedback Form ◽  
Switching Rule ◽  
Stabilizing Control ◽  
State Dependent ◽  
Lyapunov Technique ◽  
Nonlinear Hybrid

The problem of the asymptotic stabilizability in probability of a class of stochastic nonlinear control hybrid systems (with a linear dependence of the control) with state dependent, Markovian, and any switching rule is considered in the paper. To solve the issue, the Lyapunov technique, including a common, single, and multiple Lyapunov function, the hybrid control theory, and some results for stochastic nonhybrid systems are used. Sufficient conditions for the asymptotic stabilizability in probability for a considered class of hybrid systems are formulated. Also the stabilizing control in a feedback form is considered. Furthermore, in the case of hybrid systems with the state dependent switching rule, a method for a construction of stabilizing switching rules is proposed. Obtained results are illustrated by examples and numerical simulations.

Reachability analysis of nonlinear hybrid systems based on polyhedron inclusion

2013 ◽  
Vol 33 (5) ◽  
pp. 1289-1293
Author(s):  
Jin ZOU ◽  
Wang LIN ◽  
Yong LUO ◽  
Zhenbing ZENG
Keyword(s):  
Hybrid Systems ◽  
Reachability Analysis ◽  
Nonlinear Hybrid

Comparison of state estimation techniques for nonlinear hybrid systems

SIMULATION ◽  
2016 ◽  
Vol 92 (4) ◽  
pp. 357-376
Author(s):  
Gan Zhou ◽  
Gautam Biswas ◽  
Wenfeng Zhang ◽  
Qi Zhao ◽  
Wenquan Feng
Keyword(s):  
State Estimation ◽  
Hybrid Systems ◽  
Estimation Techniques ◽  
Nonlinear Hybrid

scholarly journals CGMurphi: Automatic synthesis of numerical controllers for nonlinear hybrid systems

2013 ◽  
Vol 19 (1) ◽  
pp. 14-36 ◽  
Author(s):  
Giuseppe Della Penna ◽  
Benedetto Intrigila ◽  
Daniele Magazzeni ◽  
Igor Melatti ◽  
Enrico Tronci
Keyword(s):  
Hybrid Systems ◽  
Automatic Synthesis ◽  
Nonlinear Hybrid

Safety Verification of Nonlinear Hybrid Systems Based on Bilinear Programming

2018 ◽  
Vol 37 (11) ◽  
pp. 2768-2778 ◽  
Author(s):  
Yifan Zhang ◽  
Zhengfeng Yang ◽  
Wang Lin ◽  
Huibiao Zhu ◽  
Xin Chen ◽  
...  
Keyword(s):  
Hybrid Systems ◽  
Bilinear Programming ◽  
Safety Verification ◽  
Nonlinear Hybrid

Applications of numerical optimal control to nonlinear hybrid systems

2007 ◽  
Vol 1 (2) ◽  
pp. 264-279 ◽  
Author(s):  
Shangming Wei ◽  
Kasemsak Uthaichana ◽  
Miloš Žefran ◽  
Raymond A. DeCarlo ◽  
Sorin Bengea
Keyword(s):  
Optimal Control ◽  
Hybrid Systems ◽  
Nonlinear Hybrid

scholarly journals Computation of positive realization of MIMO hybrid linear systems in the form of second Fornasini-Marchesini model

2010 ◽  
Vol 20 (3) ◽  
pp. 267-285 ◽  
Author(s):  
Tadeusz Kaczorek ◽  
Łukasz Sajewski
Keyword(s):  
Linear Systems ◽  
Hybrid Systems ◽  
Transfer Matrix ◽  
Sufficient Conditions ◽  
The State ◽  
Realization Problem ◽  
Numerical Example ◽  
State Variable

Computation of positive realization of MIMO hybrid linear systems in the form of second Fornasini-Marchesini modelThe realization problem for positive multi-input and multi-output (MIMO) linear hybrid systems with the form of second Fornasini-Marchesini model is formulated and a method based on the state variable diagram for finding a positive realization of a given proper transfer matrix is proposed. Sufficient conditions for the existence of the positive realization of a given proper transfer matrix are established. A procedure for computation of a positive realization is proposed and illustrated by a numerical example.

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