One of the main ways of digitization of society is the introduction of cyber-physical and cyber-social systems, as well as integrated cyber-physical-social systems. Digital counterparts of reality objects are the basis of cyber-physical-social systems. The most complex digital doubles are the twins of intellectual dynamic objects (agents): individuals, communities, organizations. The article discusses the possibility of applying the model of a hybrid (continuous-discrete) automaton to describe the processes of behavior and development of agents with an internal structure. The internal structure of agents includes the control system, effectors and receptors of interaction with the external environment, certain sets of needs, as well as knowledge of typical recipes (patterns) of their implementation. The model takes into account the availability of alternatives for realizing the needs of agents and the selection function when the automaton transitions from one state to another. The model takes into account the mental features of decision-making by active agents in the process of realizing needs. The model defines the conditions and content of transitions of the process of fulfillment of the need and the whole machine from one state to another. The developed model can be used as the basis for an integrated complex of digital twins of active and passive objects of an urban structure designed to support the management processes of a «smart city».