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— 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)
— 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)
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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