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作者:Czornik, Adam; Makarov, Evgenii; Niezabitowski, Michal; Popova, Svetlana; Zaitsev, Vasilii
作者单位:Silesian University of Technology; National Academy of Sciences of Belarus (NASB); Institute of Mathematics of the National Academy of Sciences of Belarus; Udmurt State University
摘要:Semilinear discrete-time control systems with periodic coefficients are considered. The problem of uniform global asymptotic stabilization of the zero equilibrium of the closed-loop system by state feedback is studied. It is assumed that the free dynamic system has a Lyapunov stable zero equilibrium. The method for constructing a damping control is extended from time-invariant systems to time varying periodic semilinear discrete-time systems. By using this approach, sufficient conditions for u...
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作者:Dong, Yi; Lin, Zongli
作者单位:Tongji University; University of Virginia
摘要:This article proposes an event-triggered control design for cooperative control of heterogeneous multiagent systems. The design is serial in nature and consists of the design of a distributed event-triggered observer for each follower agent that estimates the desired information of the leader system in the presence of parametric uncertainty and, based on this observer, the design of a distributed event-triggered controller. A salient feature of our observer design is that it obeys the separati...
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作者:Angeli, David; Al-Radhawi, Muhammad Ali; Sontag, Eduardo D.
作者单位:Imperial College London; University of Florence; Northeastern University; Northeastern University
摘要:We introduce the notion of nonoscillation, propose a constructive method for its robust verification, and study its application to biological interaction networks (also known as, chemical reaction networks). We begin by revisiting Muldowney's result on the nonexistence of periodic solutions based on the study of the variational system of the second additive compound of the Jacobian of a nonlinear system. We show that exponential stability of the latter rules out limit cycles, quasi-periodic so...
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作者:Huang, Jianhui; Wang, Shujun; Wu, Zhen
作者单位:Hong Kong Polytechnic University; Shandong University; Shandong University
摘要:This article formalizes two types of modeling uncertainties in a stochastic Stackelberg linear-quadratic (LQ) differential game and then discusses the associated robust Stackelberg strategy design for either the leader or follower. Both uncertainties are primarily motivated by practical applications in engineering and management. The first uncertainty is connected to a disturbance unknown to the follower but known to the leader. A soft-constraint min-max control is applied by the follower to d...