Results 11 to 20 of about 349,354 (286)
Risk-Aware Stability, Ultimate Boundedness, and Positive Invariance [PDF]
IEEE Transactions on Automatic Control, 2022 This paper introduces the notions of stability, ultimate boundedness, and positive invariance for stochastic systems in the view of risk. More specifically, those notions are defined in terms of the worst-case Conditional Value-at-Risk (CVaR), which quantifies the worst-case conditional expectation of losses exceeding a certain threshold over a set of ...
Kishida, Masako
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Uniformly Ultimate Boundedness Control with Decentralized Event-Triggering [PDF]
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, 2021 Event-triggered control is a method that the control input is updated only when a certain condition is satisfied (i.e., an event occurs). In this paper, event-triggered control over a sensor network is studied based on the notion of uniformly ultimate boundedness.
Kobayashi, Koichi +2 more
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Ultimate boundedness of some third order ordinary differential equations [PDF]
Mathematica Bohemica, 2012 Summary: We prove the ultimate boundedness of solutions of some third order nonlinear ordinary differential equations using the Lyapunov method. The results obtained generalize earlier results of J. O. C. Ezeilo, H. O. Tejumola, R. Reissig, C. Tunç and others. The Lyapunov function used does not involve the use of signum functions as used by others.
Afuwape, Anthony Uyi, Omeike, M. O.
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Uniform Ultimate Boundedness of Lur’e Systems with Switchings and Delays
Известия Иркутского государственного университета: Серия "Математика"The paper investigates a hybrid system consisting of Lur’e subsystems with constant delays and time-dependent switching. It is assumed that nonlinearities from the right side of the systems have degrees less than unity.
N. R. Andriyanova
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Ultimate boundedness and robust stabilization of bilinear discrete-time systems [PDF]
IEEE Conference on Decision and Control and European Control Conference, 2011 In this paper nonlinear time-varying and bilinear discrete-time systems with additive bounded disturbances are considered. First, conditions guaranteeing uniform ultimate boundedness for time-varying nonlinear systems are established. Then, algebraic conditions ensuring the existence of polyhedral Lyapunov functions, uniform boundedness and positive ...
Athanasopoulos, N. +2 more
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Ultimate Boundedness of Stochastic Neural Networks with Delays
Advanced Materials Research, 2011 Although ultimate boundedness of several classes of neural networks with constant delays was studied by some researchers, the inherent randomness associated with signal transmission was not taken account into these networks. At present, few authors study ultimate boundedness of stochastic neural networks and no related papers are reported.
Li Wan, Qing Hua Zhou
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Ultimate boundedness control of uncertain robotic systems
International Journal of Systems Science, 1986 We present a state feedback control law for uncertain robotic systems such that the error between the generalized coordinates and the trajectory of a reference model is uniformly ultimately bounded with respect to any arbitrarily small set of ultimate ...
Singh, Sahjendra N.
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On the Ultimate Boundedness of Solutions of Systems of Differential Equations
Revista Integración, 1995 In this paper we give conditions under which all solutions of a system of differential equations are equi bounded and ultimate bounded. We apply our result to a system which contain to well known Liénard's equation.
Juan E. Nápoles Valdés
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Uniform-ultimate boundedness of solutions to vector lienard equation with delay
ANNALI DELL'UNIVERSITA' DI FERRARA, 2022 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Adetunji A. Adeyanju, Cemil Tunç
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Stochastically Ultimate Boundedness and Global Attraction of Positive Solution for a Stochastic Competitive System [PDF]
Journal of Applied Mathematics, 2014 A stochastic competitive system is investigated. We first show that the positive solution of the above system does not explode to infinity in a finite time, and the existence and uniqueness of positive solution are discussed. Later, sufficient conditions
Shengliang Guo, Zhijun Liu, Huili Xiang
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