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Estimation of Null Controllable Region
2019In recent results on linear systems subject to actuator saturation, characterizations of null controllable regions form a guideline for searching feedback laws. Null controllable region , which is also called controllable set, is closely relative with time optimal control [25]. Null controllability of a control system is the possibility of steering its
Hongjiu Yang, Yuanqing Xia, Qing Geng
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Null controllability of planar piecewise linear systems
SMC'03 Conference Proceedings. 2003 IEEE International Conference on Systems, Man and Cybernetics. Conference Theme - System Security and Assurance (Cat. No.03CH37483), 2004In this paper, the controllability of a class of planar piecewise linear systems is investigated. An explicit necessary and sufficient condition for null controllability of such systems is established. Moreover, it is proved that the null controllability can be realized infinite steps.
Guangming Xie +3 more
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Null Controllability for the Dissipative Semilinear Heat Equation
Applied Mathematics and Optimization, 2002The authors study the exact null controllability for the semilinear heat equation in a bounded domain in \(\mathbb{R}^n\). The nonlinearity \(f\) is assumed to be Lipschitz continuous and dissipative. Even if \(f\) is mildly superlinear, the global controllability fails.
AniĊ£a, Sebastian, Tataru, Daniel
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Stabilization on Null Controllable Region
2019A set of equilibrium points in a null controllable region is obtained based on an important assumption. A stable equilibrium line is given for DOSs subject to actuator saturation . A complex controller is constructed to achieve global stabilization of DOSs with actuator saturation .
Hongjiu Yang, Yuanqing Xia, Qing Geng
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Null controllability of linear systems with control restraints
1971 IEEE Conference on Decision and Control, 1971This paper provides some necessary conditions and some sufficient conditions for the null controllability of constant linear systems and a class of time-varying linear systems. The approach provides geometrical interpretations of the usual algebraic criteria and gives insight into the effects of restrained controls.
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Null controllability and exact controllability for parabolic equations
2006Which functions can be final states of a system described by a homogeneous parabolic differential equation? For inhomogeneous boundary conditions this is the problem of characterizing the set R of states reachable by boundary control. We construct more spaces of reachable states.
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Null Controllability for Fourth Order Stochastic Parabolic Equations
SIAM Journal on Control and Optimization, 2022Qi Lu, Yu Wang
exaly
Null-controllability of linear hyperbolic systems in one dimensional space
Systems and Control Letters, 2021Jean-Michel Coron, Hoai-Minh Nguyen
exaly
On exact null controllability of Black-Scholes equation
Kybernetika, 2008Summary: In this paper we discuss the exact null controllability of linear as well as nonlinear Black-Scholes equation when both the stock volatility and risk-free interest rate influence the stock price but they are not known with certainty while the control is distributed over a subdomain. The proof of the linear problem relies on a Carleman estimate
Kumarasamy Sakthivel +3 more
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