Takayuki Tsuzuki

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— The purpose of this paper is searching for control Lyapunov-Morse functions(CLMF) using genetic program-ming(GP) for one-input-affine systems on general manifolds. The CLMF is an extended control Lyapunov function(CLF) to have multiple critical points. It is shown that a C 1 global stabilizer is derived from a CLF for the system. As in the case of CLF, a(More)
— In this paper, we will show that a system on a non-contractible manifold cannot be strongly asymptotically stabilized in Filippov's sense, even if discontinuous feedback is used. The fact is well-known for C 1 feedback case, and we extend it to the discontinuous feedback case. To consider the stabilization problem on a non-contractible manifold, the(More)
It is known that if state spaces of control systems are not contractible, the systems are not globally asymptotically stabilizable by using C 1 feedback laws. We set multiple singular points of a flow to solve the topological obstruction. Given Morse functions satisfying conditions of the control Lyapunov function except for the singular points, this paper(More)
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