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Optimal control and robust stability of uncertain impulsive dynamical systems
Author(s) -
Liu Bin,
Teo Kok Lay,
Liu Xinzhi
Publication year - 2008
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.37
Subject(s) - control theory (sociology) , dynamical systems theory , optimal control , algebraic number , stability (learning theory) , mathematics , algebraic riccati equation , exponential stability , robust control , riccati equation , dynamical system (definition) , control (management) , mathematical optimization , control system , computer science , engineering , differential equation , nonlinear system , artificial intelligence , mathematical analysis , physics , quantum mechanics , machine learning , electrical engineering
This paper studies the problem of optimal feedback control and robust stability for uncertain impulsive dynamical systems. By using algebraic inequalities, Riccati and Hamilton‐Jacobi inequalities, the conditions are derived under which not only the uncertain impulsive dynamical system has robust asymptotic stability but also the value of the optimal hybrid performance functional can be estimated. An example is also given to illustrate our results. © 2008 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society